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1 messages · Page 216 of 1

shy dove
#

that's it? You've found a and b expressed in terms of theta

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that's the question

shy skiff
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oh wow lol

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I thought it was an actual integer ty mate

shy dove
#

no worries. Yeah it couldn't be a number because you didn't know theta. If you knew theta, then you would've found a number

shy skiff
#

same thing for this?

grizzled aspen
#

inverse trig functions

shy skiff
#

may you enlighten me 🙂

ocean sealBOT
#

Broken

shy skiff
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oh is this the Sina/a =sinB/b

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oh nvm

grizzled aspen
ocean sealBOT
#

Broken

shy skiff
#

ohhh

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I'll try bottom one

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cos theta = 3/x

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then theta = cos^-1 (3/x)

grizzled aspen
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yes

shy skiff
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thanks mate:)

grizzled aspen
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np

shy skiff
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the angle is 80 degrees

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how do I go about this one?

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this the law of sines?

grizzled aspen
#

what is it asking to find

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length of ladder?

shy skiff
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how high up the ladder touches the building

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so the opposite of theta

granite inlet
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This isn't law of sines this is just a trigonometric equation

shy skiff
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gotchya

grizzled aspen
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i mean you could do law of sines

granite inlet
#

You can equate a trig function of theta to your base a and the height against the building and solve

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You could but, law of sines can give you triangles that don't exist it's best to avoid it

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Especially for something as direct as this

granite inlet
#

Because this is a right triangle we don't need to use law of sines

shy skiff
#

^ I'll have to do law of sines in a moment

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but not now

ocean sealBOT
#

Broken

granite inlet
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Yup

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X is what you want and solve for x

grizzled aspen
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where a = 6 and theta is 80

shy skiff
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opposite and adj, solving for hypo

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oh okay

granite inlet
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Nah you don't need the hypotenuse if you use the appropriate trig function

ocean sealBOT
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Broken

shy skiff
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that's what I got just not sure how to move the x over again

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it's not tan^-1 or is it

granite inlet
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In general for problems with right triangles the trigonometric functions themselves are defined as ratios of sides of the triangle relative to a particular angle in the triangle so you can use them to solve for the entire triangle

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You won't need arctangent here

grizzled aspen
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you could just calculate tan(80)

granite inlet
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You aren't solving for a triangle

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Angle*

grizzled aspen
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and then multiply both sides by 6

shy skiff
#

oh yes lol mb

ocean sealBOT
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Broken

shy skiff
#

34 feet

grizzled aspen
#

you could also see how they do it in another example when you practice another

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if thats available for that question

shy skiff
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it's more off a review right before an exam

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I've done all this before but it's so much

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and I couldn't comprehend the differences between questions when there was so much

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I think the next one though is law of sines

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the Asa or ssa etc

grizzled aspen
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sinA/a = sinB/b

shy skiff
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ahhh okay I'll try this one on my own for a sec

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fuck lol

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I even have notes I replicate but I've no idea why I did what I did

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different problem that I did

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what's with the x^2? on the right?

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yeah I've no clue

grizzled aspen
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not sure

shy skiff
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got it lol

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cryptic shit but

lone heartBOT
#

@shy skiff Has your question been resolved?

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strong summit
#

Can someone do this?

lone heartBOT
proven leaf
#

,rotate

ocean sealBOT
long axle
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Someone can do this but someone that is not u should not do this

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Someone that is not u can help u do this

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If you are so inclined to be inclined

vernal thunder
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What have you tried

proven leaf
strong summit
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I tried 1 way but it was hella confusing and hurt every brain cell I had that I took a 30 minute break

vernal thunder
#

The moment you said straightforward integration

strong summit
#

But here it is

strong summit
proven leaf
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"screams" 😂

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anyways

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your idea was pretty good, expanding then integrating each term via the power rule of integration

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were you getting confused on the expanding?

strong summit
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The fractions were really annoying to deal with and took way too long

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This shouldn't take more than 3 minutes

proven leaf
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try writing it all out and doing is slowly rather than going on algebra autopilot

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right?

vernal thunder
proven leaf
#

were you getting confused about the expanding?

strong summit
strong summit
proven leaf
strong summit
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But I have to expand first right?

proven leaf
ocean sealBOT
#

XxMrFancyu2xX

vernal thunder
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Oh

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You forgot +C

vernal thunder
ocean sealBOT
proven leaf
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well he was right

vernal thunder
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God damn

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He solved it

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But they forgot +C

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So ratio

proven leaf
strong summit
#

Why did it feel like I did everything wrong

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I feel like my steps were too messy

proven leaf
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what made them feel messy?

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cause after looking at ur image they seemed coherent?

strong summit
#

Which usually makes me mess up on the easy stuff

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Alright thank yall 🙏

proven leaf
#

yw! pandaHugg

lone heartBOT
#

@strong summit Has your question been resolved?

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timid iron
lone heartBOT
vernal thunder
#

,rotate

ocean sealBOT
vernal thunder
#

You can find the area of this trapezoid

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All you need is the formula

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Do you know it

timid iron
#

yes

#

.close

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willow wraith
lone heartBOT
willow wraith
#

I got y=@^3sec(@) + @^3

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but it should be

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I dont get where the negatives game from

vernal thunder
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Can you make you work a bit cleaner and show one step per separate line

willow wraith
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ok

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open it in browser for full res

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brother this room is occupied

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you need to post in open rooms

cobalt mauve
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Oh, sorry 0.0

willow wraith
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pls delete and use the ones above

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anyways I still dont get why it should be negative

lone heartBOT
#

@willow wraith Has your question been resolved?

lone heartBOT
#

@willow wraith Has your question been resolved?

willow wraith
#

damn hello?

frosty niche
#

may be answer is wrong

willow wraith
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you think so

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cause i just dont see where the negatives would come from

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let me get a second opinion if someone else thinks the same ill just close it

#

.close

lone heartBOT
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solemn agate
#

How would one go about solving these? Surface area is being asked (on the first 3)

solemn agate
#

I have no idea about how I'd go about the second one

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On the first and third ig I'd just calculate the rectangles then add the pyramids on the first and the half cylinders on the third?

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But since some 2 sides of the rectangles are covered idk what to do

grizzled aspen
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the second one you can just find the area of the whole rectangular prism then subtract 1/2 the area of the cylinder

solemn agate
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Makes sense

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Thanks

grizzled aspen
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np

solemn agate
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Anyone know about the other ones?

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  1. surface area of rectangle = 2(wl+hl+hw)=2·(18·45+22·45+22·18)=4392

4392 - 2 sides of the rectangle = 45x18 = 4392 - 810 = 3582

surface area of cylinder = 2πrh+2πr2=2·π·9·45+2·π·92≈3053.63 - the 2 sides of the halves glued to the rectangle = 810 x 2 = 1620

3053.63 - 1620 = 1433.63

surface of rectangle 3582 + surface of cylinder 1433.63 = 5015.63

#

<@&286206848099549185>

frosty niche
#

shouldn't it be 3528+3056.63

solemn agate
#

for what

frosty niche
#

TSA for 3

solemn agate
#

with tsa meaning?

frosty niche
#

total surface area

solemn agate
#

i dont see me writing any of those numbers

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what did i do wrong?

solemn agate
frosty niche
#

you have written in the last line

solemn agate
frosty niche
#

oh yeah 3582*

solemn agate
frosty niche
#

main thing is you don't have to subtract the 2 surfaces of cuboid from cylinder

solemn agate
#

i wrote 3053.63

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so only the 2 from the rectangle?

frosty niche
solemn agate
#

makes sense didnt think it through that much

solemn agate
frosty niche
#

like take complete surface area for cylinder

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and add cuboid surface area with subtracting two surfaces

solemn agate
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could i also just not change the rectangle and remove the 1 side that is touching the rectangle on eac hhalf cylinder?

frosty niche
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that's what i am saying

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and it's a cuboid

solemn agate
frosty niche
#

yeah that are touching half cylinder

solemn agate
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im asking if i can remove 1 side from each half cylinder

frosty niche
#

that will eventually be same

solemn agate
#

ok that was the question

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thanks

frosty niche
#

any other?

solemn agate
#

whys he subtracting 2 sides?

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1 from the pyramid one from the cuboid?

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O = surface area G = the base side of the pyramid

frosty niche
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yes it's right

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if you take pyramid area you will get that rectangle area also with it but we don't need it

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same for cuboid

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surface area is area of visible surfaces like you dont have to include the rectangle which is between pyramid and cuboid

lone heartBOT
#

@solemn agate Has your question been resolved?

lone heartBOT
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lime holly
#

determine the angle formed by the two vectors geometrically

vale wigeon
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and represent it geometrically.

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do you know in general how to find the angle between two vectors?

lime holly
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nop

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or i might

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hold up

vale wigeon
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do the words "scalar product" ring any bells

lime holly
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yes

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a x b = |a| x |b| x cos theta

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nvm i just answered my own question didnt i

vale wigeon
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one, don't use the letter x as a multiplication symbol
two, NEVER denote the scalar product with the letter x or even ×

lime holly
#

ok

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i guess that becomes a problem when theres vectors huh

stone gulch
#

I use as '×' but my X is curvy, hence I don't get confused

lime holly
vale wigeon
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with vectors × denotes cross product

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never the scalar product, which is always written with a dot · or with angle brackets <u, v>

lime holly
#

but wait how am i supposed to know the magnitude of each vector

stone gulch
#

There's a formula

lime holly
#

wait

stone gulch
#

√[ (x component)² + (y component)² + 2 ab cos (angle between them. 90° here if it's components on axis) ]

lime holly
stone gulch
#

Wait

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In other words, it's the distance between the end points

lime holly
#

that looks a lot like cosine law

stone gulch
#

Rightmost side

PARALLELOGRAM LAW

lime holly
#

so i would be missing two variables?

stone gulch
#

You have to find c, isn't it?

lime holly
#

yes

stone gulch
#

Wait

lime holly
#

well

stone gulch
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"determine the angle formed by the two vectors geometrically"

lime holly
#

i need the angle between both vectors

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and to represent it geometrically

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now i am unsure ;-;

stone gulch
#

,rccw

ocean sealBOT
stone gulch
#

You can find the last bit, as your wish.

If they need to be approxed, you can.
I left it for you to adjust according to your question

lime holly
#

it says the answer is 55.8

stone gulch
#

Almost close

lime holly
#

what is this part from

stone gulch
lime holly
#

ah ok

#

thank you sully

stone gulch
#

☺️ you're welcome

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Your book needs exact values.

My textbook never asked for exact values, my questions were mostly that cos (theta) came out as 1 and hence, theta = 0

lime holly
#

mine never specified

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so i guess its just 0 from now on haha

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anyways it probably wont be long until im back with another question but thank you so much :)

#

.close

lone heartBOT
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real cipher
lone heartBOT
vale wigeon
#

fucked up here

#

you cannot multiply both sides by (1-4x) because (1-4x) is not sign-constant

real cipher
#

what

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is a non sign-constant

vale wigeon
#

an expression or function is sign-constant if its value is always the same sign for all admissible values of its input variables

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i.e. if it is either always positive or always negative

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then you can tell whether or not to flip the inequality sign when multiplying through by it

real cipher
#

oh so x can be both postive or negative so the inequality may change i get it

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but what now what should i do

vale wigeon
#

oh so x can be both postive or negative
no, it's (1-4x) that can be both positive or negative.

vale wigeon
#

or if you want to go more formal you could rewrite 1/(1-4x) ≥ 7 as 1/(1-4x) - 7 ≥ 0 and then (1 - 7(1-4x))/(1-4x) ≥ 0 and do a sign analysis (after cleaning up the numerator)

real cipher
#

(1 - 7(1-4x))/(1-4x) ≥ 0
what are u doing here?

real cipher
#

@vale wigeon

#

$$ (1 - 7(1-4x))/(1-4x) ≥ 0$$

ocean sealBOT
vale wigeon
#

i combined the fractions into one

real cipher
#

$$ (1 - 7 + 28x)/(1-4x) >= 0 $$

ocean sealBOT
vale wigeon
#

$\frac{1}{1-4x} - 7 = \frac{1-7(1-4x)}{1-4x}$

ocean sealBOT
vale wigeon
#

this is what i did

real cipher
#

oh, so i just have to simplfy this? let me do in latex here : PP

#

$$\frac{1-7-28x}{1-4x} \geq 7 $$

ocean sealBOT
real cipher
#

$$ \frac {-6-28x}{1-4x} \geq 0$$

vale wigeon
#

0 not 7

real cipher
#

oh oh right

ocean sealBOT
real cipher
#

so i can use recporical property now ?

#

of inequality
a > 0
1/a > 0

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$$ (1-4x)(-6-28x) \geq 0 $$

ocean sealBOT
real cipher
#

@vale wigeon is this right?

stone gulch
#

You know about wavy curve?

real cipher
#

nope

stone gulch
#

It's EASIER

#

Wait

real cipher
#

this is from the section of basic stuff

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I want to learn this way too

real cipher
#

@vale wigeon

stone gulch
#

What did the rule say?

real cipher
#

ab = 0
either a = 0 or b = 0

stone gulch
#

Both can be 0 too?

real cipher
#

yeah i used "or"

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or is logical operator(it's true when one statement is true or other statement is true or both statement is true)

stone gulch
#

You're right for the operator

The last part is generally done by wavy curve.

real cipher
#

@stone gulch I need help i couldn't solve can you redo the solution the process that Ann recommended ?

stone gulch
#

I'm trying

real cipher
#

okay ping me okay gonna take a lil break

vale wigeon
real cipher
#

yeah i am completely lost after i didn't get the right answer

#

@

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can u solve it for me ://

#

x <= 1/4 and x <= 3/14

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yeah i am completely lost

#

@vale wigeon

vale wigeon
#

sorry, am busy

real cipher
lone heartBOT
#

@real cipher Has your question been resolved?

vale wigeon
stone gulch
#

She did with wavy curve too

lone heartBOT
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lone heartBOT
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median oar
#

On the second line isn’t there supposed to be a minus at the front

wanton roost
#

Can I have some help understanding this problem

golden canyon
#

Yes, but doesn't matter since it will be set to 0 anyway

wanton roost
#

huh

#

what does that mean

golden canyon
median oar
#

.close

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median oar
#

Thanks

wanton roost
#

.open

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wanton roost
#

10 - 12 + 17 x 10/5

lone heartBOT
wanton roost
#

I dont know where I am stuck

wanton nova
#

$10-12+17 \cdot \frac{10}{5}$

ocean sealBOT
#

Oogy Boogy

wanton nova
#

Like this

wanton roost
#

wha

wanton nova
#

?

#

Yes or no

wanton roost
#

no

#

oh yes

wanton nova
#

Ok

#

We can get rid of the fraction first

wanton roost
#

how

wanton nova
#

Whats 10/5

wanton roost
#

2

wanton nova
#

Good

#

$10-12+17 \cdot 2$

ocean sealBOT
#

Oogy Boogy

wanton roost
#

?

wanton nova
#

Now what do we do

wanton roost
#

uh multiply?

wanton nova
#

Why did you put ?

wanton roost
#

bc that equation looks very scary

wanton nova
#

Ok

#

Do the multiplication

wanton roost
#

34

wanton nova
#

$10-12+34$

ocean sealBOT
#

Oogy Boogy

wanton roost
#

46

wanton nova
#

No

wanton roost
#

oh

#

what do i do

wanton nova
#

I suggest doing the addition first

wanton roost
#

12 + 34 is 46 correct?

wanton nova
#

No

#

You have -12

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Not 12

wanton roost
#

ohhhhhhhhhh

#

22

wanton nova
#

Yes

wanton roost
#

YayaayYAYay

wanton nova
#

But you still have the 10

#

Left

wanton roost
#

uh

#

hmm

#

12?

wanton nova
#

No

wanton roost
#

120

wanton nova
wanton roost
#

I added

wanton nova
#

Is it

#

22 or -22?

wanton roost
#

22

wanton nova
#

Ok

#

$10+22$

ocean sealBOT
#

Oogy Boogy

wanton roost
#

32

wanton nova
#

Yes

wanton roost
#

But why do we add?

wanton nova
#

You just answered that

#

I asked you

#

22 or -22

#

And you said 22

#

Which is the same as +22

wanton roost
#

So we basically just added again ,with the ten?

wanton nova
#

$10-12+34$

ocean sealBOT
#

Oogy Boogy

wanton nova
#

Go from left to right

#

Whast the first operation

wanton roost
#

add

wanton nova
#

No

#

From left to right

wanton roost
#

oh

#

10 - 12

wanton nova
#

And whats that

wanton roost
#

-2

wanton nova
#

And whats -2+34

wanton roost
#

OMG

#

32

wanton nova
#

Yes

wanton roost
#

OMG SO OBVIOUS

#

TYSM

#

.close

lone heartBOT
#
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wanton nova
#

Np

lone heartBOT
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normal flicker
#

can anyone help me figure this out as an equation? thanks

naive valley
#

!status

lone heartBOT
#
What step are you on?
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4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
normal flicker
#

1

#

just doing some revision but for this type of question i have probably forgetton

naive valley
#

try rearranging so that all terms involving x are on one side, and all terms not involving x are on the other side

normal flicker
#

ok will do

lone heartBOT
#

@normal flicker Has your question been resolved?

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copper pendant
#

can anyone please help me with this

lone heartBOT
copper pendant
#

<@&286206848099549185>

dry fern
#

Is this a test

copper pendant
#

nope

#

homework

rocky atlas
#

(25 marks): do I even exist

copper pendant
#

please help

#

its part of a past paper

#

like past exam paper

rocky atlas
#

25 marks: so I'm a thing of past, alright

copper pendant
#

yes

#

dude i need help on this

dry fern
#

bro read the rules

copper pendant
#

i did

#

bro this is 2020 exam paper

#

this is for homework for me

dry fern
#

electronic exams

copper pendant
#

no dude

#

if this was an exam there would be option or smthn

#

literally a pdf of exam questions

rancid atlas
#

sounds believable my teacher also gives past papers

copper pendant
#

please help

#

am so close to finishing this

stone gulch
#

Wait

#

What's the problem?

rocky atlas
#

Problem is a or b?

copper pendant
#

a)

obsidian hornet
#

well then just find where they are and use pythagoras?

hushed wolf
#

draw a diagram first

rocky atlas
#

Find the displacement travelled by ship A and ship B individually after 30 minutes

hushed wolf
#

where will they be

copper pendant
#

alr

#

so waht is step 1

obsidian hornet
#

so ship A will be 7.5km out and b will be 15km out

#

and then you find that from port b ship a is um 82.5km out

#

and then yeah you have 15km and 82.5km use pythag

copper pendant
#

alr so this is what i have

#

to find displacement

#

correct if im wrong

#

75/2 for ship A is 7.5km

#

30/2 for ship B is 15km

#

so whats the next step

hushed wolf
#

draw a diagram

copper pendant
#

alr

hushed wolf
#

show their new positions

#

and then you will see the triangle

rocky atlas
#

Do 90-7.5 then use pythagoras

hushed wolf
#

if you connect the new point A and B

rocky atlas
copper pendant
#

alr

hushed wolf
#

can you see the triangle

copper pendant
#

yes

hushed wolf
#

okay so do the pythagorean theorem now

copper pendant
#

ok so this is where i am

#

inside square root is

#

(90-7.5) square + (15)square

#

ans:83.86km

#

@rocky atlas question

#

why did you find the displacement first

rocky atlas
#

you could have asked the question, not specifically to me

#

But since you asked

copper pendant
#

no cos your pro

rocky atlas
#

We find displacement first to find the targetted triangle for using Pythagoras theorem

rocky atlas
#

We see that the there are two ships and they are moving perpendicularly to each other so as long as we find the displacement done by both ships individually, we can trace a triangle where hypotenuse can be the distance between the ships

copper pendant
#

ohhh okkayy

#

makes more senes

#

actually

#

i dont get the hypotenuse triangle part

#

the one to sketch that

#

how do you work that out

rocky atlas
#

That's related to geometry

copper pendant
#

proof of past paper

copper pendant
#

so i can understand

rocky atlas
#

In this case both ships move 90 degree to each other so I figured out that it's hinting us to make a 90 degree triangle

copper pendant
#

alr thats all i needed thanks guys

#

.close

lone heartBOT
#
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rocky atlas
#

@copper pendant the triangle will be smh like this

copper pendant
#

.reopen

lone heartBOT
#

copper pendant
#

oh so 15 on vertical

rocky atlas
#

Yes

copper pendant
#

82.5 on horizontal

#

wait so last question

#

why take away 90-7.5

#

why cant it just be 7.5

rocky atlas
#

It's 90 on horizontal actually

#

The ship moved 7.5

#

And the point at which you can see a triangle

#

So the horizontal of our triangle is 90-7.5

#

Even thou total horizontal is 90

copper pendant
rocky atlas
#

Yea

copper pendant
#

alr i'll send you what im seeing

rocky atlas
copper pendant
#

Sorry using McDonalds wifi

rocky atlas
#

I see

#

How do I trust it's not a virus?

#

After all you send me a file

#

It could be risky for me

#

@copper pendant

copper pendant
#

Why would it be a virus du

#

Dude your helping me

rocky atlas
#

Yeah

#

But I can't take risk

copper pendant
#

Trust me it's a pictur

rocky atlas
#

If it was just a picture you would screenshot and send it here

copper pendant
#

Alr I ll show you

rocky atlas
#

You sending it in file format is suspicious

copper pendant
#

Sussy indeed

rocky atlas
#

Yeah that's the thing basically

copper pendant
#

Told you now click that file above

rocky atlas
#

Wait no

copper pendant
#

What

rocky atlas
#

7.5 should be on the position of 82.5

#

And 82.5 should be on position of 7.5

copper pendant
#

Ohhh

rocky atlas
#

Ship a travels 7.5km from Port A

#

You even found displacement yourself

copper pendant
#

Alr got you

rocky atlas
#

You should have figured it out

#

Alright

copper pendant
#

So we calculating the distance

rocky atlas
#

Yeah

copper pendant
#

90 is distance overall

rocky atlas
#

Triangle is made up of sides

#

So we are looking for distances

copper pendant
#

15/2 gives us displacement BUT NOT distance

rocky atlas
#

Yes

copper pendant
#

So in order to find the distance 90 which is overall distance-7.5 which is the partial distance

#

But to get the distance from port a to where ship a is 82.5

rocky atlas
#

Yeah

copper pendant
#

Alr thanks calamity

rocky atlas
#

Wait

copper pendant
#

Your a real one

rocky atlas
#

Thank you

copper pendant
#

What

#

Thank you honestly

rocky atlas
#

Not 82.5

copper pendant
#

Wait so what is 82.5

rocky atlas
#

I told you

#

The image you posted

#

Just exchange the position of 82.5 and 7.5

#

That's their true position

copper pendant
#

Ale

#

Alr

rocky atlas
#

Distance 90 is already given!!

copper pendant
#

I know

#

Wait

#

So what is 7.5km

#

What is 82.5km

rocky atlas
#

We got 7.5 by multiplying velocity of ship A to 30 minutes

#

At the start ship A was at Port A

copper pendant
#

Yes

rocky atlas
#

It then moved by some velocity for 30 minutes

#

We multiplied that velocity to 1/2 hour to get us 7.5km

copper pendant
#

Right

rocky atlas
#

So that's where 7.5 came

#

We then substracted 7.5 from overall distance 90

#

To get us the required side of the triangle

#

@copper pendant think of it like a story

#

Ship A is the hero who travels at a speed of 15km/hr towards right

copper pendant
#

ship a travelled 7.5km correct?

rocky atlas
#

Ship B is the cindrella who travells vertically downward at a speed of 30 km/hr

rocky atlas
#

After 30 minutes

copper pendant
#

alr so 82.5 is amount of km needed in order to finish correct?

#

as you said required side of triangle

copper pendant
#

alr and ship b was at port b

#

but then it travlled 15km

#

so

rocky atlas
#

82.5 km is the length of the required side of the triangle

copper pendant
#

since it said 30 minutes after they sail in the question

#

and it asks to find the distance

rocky atlas
#

Yes

#

So see geometry

#

The distance between ship A and ship B after 30 minutes will be the hypotenuse

copper pendant
#

so ship a travelled 7.5km after 30 mins correct?
and ship b travelled 15km after 30 mins correct?

rocky atlas
#

Yes

copper pendant
#

alright

#

so this is where the cat in the hat is

rocky atlas
#

What is itsully

copper pendant
#

so why do we use 82.5km when thats how much km is needed to finish

copper pendant
#

instead of 7.5km

rocky atlas
#

Let me draw again for you

#

You will your answer then

copper pendant
#

alr bet

rocky atlas
#

There is no triangle formed if we consider 7.5km @copper pendant

copper pendant
#

OMGGG

#

NOW I UNDERSTAND

rocky atlas
#

lol nice

copper pendant
#

WOW

#

dude i've been so stuck on this for the past hour

#

alr now it all makes sense

rocky atlas
#

Nice

copper pendant
#

man you improved your maths skills with this question definitely

#

alr gtg

rocky atlas
copper pendant
#

thanks for the help man man

#

.close

lone heartBOT
#
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rocky atlas
#

Wlc

lone heartBOT
#
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paper sage
lone heartBOT
paper sage
#

Can someone help me solve this

dry fern
#

German eh

#

Sorry comrade but I don't understand the question

#

It's german

lone heartBOT
#

@paper sage Has your question been resolved?

paper sage
paper sage
#

@dry fern

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@paper sage Has your question been resolved?

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haughty plank
#

A company produces cocoa powder. The random variable x describes the filling weight of the packs in grams (g) and is assumed to be normally distributed. The expected value of the filling weight is 125g. The standard deviation is 2g. All weights are in grams, down to one decimal place. A manufacturer checks his filling machine. To do this, he examines 500 packs that were filled by this machine. The filling weight is too low if it is more than 4.5g below the expected value. Show the validity of the following statement using a binomial distribution: The probability that more than 2% of the packs have an insufficient filling weight is about 4.6%

lone heartBOT
#

@haughty plank Has your question been resolved?

haughty plank
#

<@&286206848099549185>

haughty plank
#

<@&286206848099549185>

woeful pulsar
#

what's the probability a particular packet has insufficient filling weight

haughty plank
#

4.6%

#

well i have to determine if that is the right probability

haughty plank
woeful pulsar
#

normally distributed

haughty plank
#

p(x<120.5)

#

so

#

125-x*2=120.5
x= 2.25
(z(2.25))= 0.9945
1-0.9945= 0.0055

#

the probability of packets weighing less than 120.5 gs

#

what do i have to do now

lone heartBOT
#

@haughty plank Has your question been resolved?

lone heartBOT
#

@haughty plank Has your question been resolved?

lone heartBOT
#

@haughty plank Has your question been resolved?

#
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native nebula
#

help

lone heartBOT
native nebula
#

is my solution correct?

night atlas
#

lemmes ee

fleet vale
#

yes

golden canyon
fleet vale
#

yeah I saw this too

#

lol

night atlas
#

yeah

#

correct

native nebula
minor needle
#

,w abs(4x-3)<=11

golden canyon
#

Well it is correct

native nebula
#

okk

#

.close

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vapid shuttle
#

What are you trying to solve?

#

can you send your original question? from the textbook or online or wherever

#

It looks like the bottom inequality is easiest

#

start there

lone heartBOT
#

@alpine sable Has your question been resolved?

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ruby frost
lone heartBOT
ruby frost
#

not sure what went wrong. i did these exact steps for a previous problem and it worked

ocean hawk
#

the vectors should be 3x1

ruby frost
#

ohh

ruby frost
#

oh the extra row should be the first row right?

#

so [0, 2, 1] and [0, -3, 0]?

ocean hawk
#

no

#

you have the first 2 elements of each correct already

ruby frost
#

so it should be [2, 1, 0] and [-3, 0, 0]?

#

that doesn't make sense though

ocean hawk
#

no

#

if you have 0s in both then you're "ignoring" x3 =

barren shuttle
#

Yeah you forgot to set x3=x3

ruby frost
#

wouldn't this be no solutions?

#

there are more variables than equations

#

you can't get a pivot for every column so it's impossible to be consistent

ocean hawk
#

there are infinite solutions

ruby frost
#

oh bc of x_2

#

how do i know that x3 = x3 though too?

ocean hawk
#

no, because there must be at least 1 free variable; in this case there are 2

#

I don't know why they are insisting on saying x2=x2 and x3=x3. better to do something like x2 = s, x3 = t. but you'll get the same combination of vectors anyway

ruby frost
#

i'm not really sure how parametric vector form works

ocean hawk
#

you write $\begin{pmatrix} 2x_2 - 3x_3 \ x_2 \ x_3 \end{pmatrix}$ as a combination of vectors. in this case, as x2 times something plus x3 times something

ocean sealBOT
#

cwatson

ruby frost
#

should c1x1 + c2x2 = 0?

#

c1 and c2 being constants?

ocean hawk
#

where do c1 and c2 come from?

lone heartBOT
#

@ruby frost Has your question been resolved?

ruby frost
#

so i made the something c1 and c2

ocean hawk
#

no, the "something" represents a vector

#

you almost had the answer to begin with...

ruby frost
#

you're saying it's this

#

but idk why

ocean hawk
#

I didn't say it was that, the first vector is wrong

#

it would be [2 1 0]

#

to see that it's right, combine them into 1 vector

ruby frost
#

i don't understand how you're getting these numbers

#

there just isn't a 3rd row

#

in the equations

ocean hawk
#

it's a 2x3 matrix

#

it has to be multiplied by a 3x1 vector

ruby frost
#

this gotta be right

#

imma drop this class and throw the computer out the window if it's wrong

ocean hawk
#

yes that looks right

ruby frost
#

oh good

#

so basically just don't forget that if a column doesn't have a pivot, then it's a free variable

#

which must be included in the system of equations

ocean hawk
#

yes

ruby frost
#

gotcha thank you

#

.close

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#
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steady basin
#

need some help in part a plz

worn fox
#

show that (u+w,v) = (u,v) + (w,v), there isn't really much of a hint to give you that isnt the answer

ocean hawk
#

<@&268886789983436800>

worn fox
#

use A1 and A3 in literally the only way you can

mortal trellis
#

(thats only additivity, you also need (au,v) = a(u,v) )

lone heartBOT
#

@steady basin Has your question been resolved?

lone heartBOT
#

@steady basin Has your question been resolved?

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icy jewel
#

i dont understand the question

lone heartBOT
icy jewel
#

guys pls

#

heres more context

#

<@&286206848099549185>

graceful grove
#

try “tan 6 = h/132”

icy jewel
#

thx, h/135 worked

#

.close

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jaunty sierra
#

did i draw v -2u correctly?

lone heartBOT
frosty niche
#

no ig

jaunty sierra
frosty niche
#

direction of u vector you have shown is upward right?

jaunty sierra
#

oh

jaunty sierra
ivory fern
#

v is indeed right and -2u is right too now

#

But v-2u is wrong

frosty niche
#

head will be pointed towrds -2u

lone heartBOT
#

@jaunty sierra Has your question been resolved?

jaunty sierra
ivory fern
#

You have to find v-2u = v + (-2u)

#

And you have drawn v and -2u

#

So you have to add them

ivory fern
jaunty sierra
ivory fern
jaunty sierra
ivory fern
#

You have done something similar but in the wrong order

lone heartBOT
#
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violet wedge
#

this is a stats question, im trying to prove the pdf of Z=X+Y but i cant wrap my head around how that double integral for the cdf was formed:

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#

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icy jewel
#

i dont get what im doing wrong

lone heartBOT
surreal meadow
#

cos has a range between -1 and 1

#

-sqrt{3} is outside that range

#

you have the right idea

icy jewel
#

oh

#

so would it be 1 - (sqrt3 - 1)

surreal meadow
#

no, how did you get that

icy jewel
#

idk

surreal meadow
#

normalize the point

#

treat it like a vector

#

and scale it down

icy jewel
#

oh ok

surreal meadow
#

so it’s magnitude is 1

icy jewel
#

cool thx

#

.close

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#
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violet wedge
#

im trying to prove the pdf of Z=X+Y but i cant wrap my head around how that double integral for the cdf was formed:

violet wedge
#

i just really dont understand how the outer integral is -inf to inf

worn fox
#

if you let y be whatever you want (the outer integral), then to have x + y <= a, you need x <= a - y

violet wedge
#

i see, that makes sense

#

then to get the pdf from the cdf

#

u just differentiate right

worn fox
#

from cdf to pdf you differentiate

violet wedge
#

yes

#

thank you

#

.close

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forest fiber
lone heartBOT
forest fiber
#

is the answer 2403

proven leaf
#

Volume of the total solid is the volume of the rectangular and triangular prisms

forest fiber
#

yeah

proven leaf
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that's why the volume is 2403

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because that is the sum of the rectangular and triangular

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unless ur question is on calculating those volumes.

forest fiber
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i dont think you understand im just asking for a check if the answer is correct i think i know what to do

proven leaf
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ohhh

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gotchu

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i don't think 2403 is correct

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but then again it's kinda late where I am so I could be wrong catshrug

forest fiber
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ill tell you what i did

proven leaf
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aight

forest fiber
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I found the volume of the rectangle which was 9 * 15 * 12 then I found the volume of the triangle which was 7.8 * 135 I added both volumes then I subtracted 135 twice

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i forgot to add the sums 9 * 15 * 12 =1620 7.8 * 135=1053 1053+1620=2673 2673-135x2= 2403

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<@&286206848099549185>

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.close

lone heartBOT
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flat vale
lone heartBOT
flat vale
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how did they get from left to right

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$A \neq [c_1 \mid c_2 \mid \cdots \mid c_k]$ right

ocean sealBOT
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TheWhiteShadow

merry depot
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c1,...,ck are pivot columns of A
that's how you define matrix multiplication

flat vale
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cuz c is the pivot column

merry depot
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$\begin{bmatrix} v_1 & v_2\end{bmatrix}\begin{bmatrix} a_1 \ a_2\end{bmatrix} = a_1v_1 + a_2v_2$ where $v_1$ and $v_2$ are vectors.

ocean sealBOT
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Zybikron

flat vale
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no i get that but

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hol on

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lets say this

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the pivot columns are colum 1 and 3

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$\alpha_1\begin{bmatrix}2\2\2\2\end{bmatrix}+\alpha_2\begin{bmatrix}3\3\4\5\end{bmatrix}=\vec{0}$

ocean sealBOT
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TheWhiteShadow

flat vale
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so this is the same as

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$\text{A}\begin{bmatrix}\alpha_1\\alpha_2\end{bmatrix}=\vec{0}$

ocean sealBOT
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TheWhiteShadow

flat vale
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it doesnt make sense?

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$A \neq \begin{bmatrix}2 &3\2& 3\2 &4\2 &5\end{bmatrix}$

ocean sealBOT
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TheWhiteShadow

flat vale
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@merry depot

merry depot
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ah. probably just some sloppy notation then

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either they're taking A to be just the pivot columns (the other columns are lin dep on those, so they're unnecessary) or they got sloppy with the indices on the alphas

flat vale
lone heartBOT
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@flat vale Has your question been resolved?

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@flat vale Has your question been resolved?

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@flat vale Has your question been resolved?

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orchid perch
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is there a standard name to the operation of sum of vectors elements?

orchid perch
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like magnitude of example is for the length

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is there a special name for the sum

remote heron
orchid perch
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magnitude is the same as norm isnt it

solemn agate
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Am I allowed to reply to an old convo

remote heron
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square root of the sum of the elements squared

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thats a 2 norm

orchid perch
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yeah thats magnitude

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im looking for non-squared sum

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i assume there's no special name for it

remote heron
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the 1 norm?

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thats just the sum of the magnitude of the elements

orchid perch
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ohhh

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so its called 1 norm

remote heron
orchid perch
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yup tysm

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thats what i meant

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minor merlin
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Is this correct?

lone heartBOT
minor merlin
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I keep getting 4 root66 -4

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But the answer says it’s 6 not 66

merry depot
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how are you getting 66?

ruby current
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when you change the bounds, you don’t undo the substitution

minor merlin
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When I plug 6 into the equation in the bracket it gives me 4 root66 am I not supposed to do that

ruby current
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6 is the bound you derived for u

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you can either: keep the antiderivative in terms of u and use the bounds 1 to 6, or keep the antiderivative in terms of x and use the bounds 1 to 2

minor merlin
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Oh ok I get it now

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Thanks so much

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.close

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hot bluff
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i got the same answers you did by law of sines

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what do you need help with then?

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how what works?

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law of sines or other trig functions

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trig functions like sine and cosine are just ratios

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yes

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i actually did the reciprocal but i got the same answers thinkies

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you also gotta know that total angle measure in a triangle is 180, so you find the other angles pretty easily since every triangle is a right triangle (has one angle of 90 degrees denoted by a square)

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@alpine sable Has your question been resolved?

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shut mantle
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$8e^-x -e^x = 2$

lone heartBOT
ocean sealBOT
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Bánh Xèo

shut mantle
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How do I solve for x

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that should be a powered x by the way