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ella [17]
3 years ago
11

Help plz plz plz

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

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Please explain this problem!!!​
9966 [12]

tis a little of plain differentiation.

we know the radius of the cone is decreasing at 10 mtr/mins, or namely dr/dt = -10, decreasing, meaning is negative.

we know the volume is decreasing at a rate of 1346 mtr/mins or namely dV/dt = -1346, also negative.

so, when h = 9 and V = 307, what is dh/dt in essence.

we'll be needing the "r" value at that instant, so let's get it

V=\cfrac{1}{3}\pi r^2 h\implies 307=\cfrac{\pi }{3}r^2(9)\implies \sqrt{\cfrac{307}{3\pi }}=r

now let's get the derivative of the volume of the cone

V=\cfrac{1}{3}\pi r^2 h\implies \cfrac{dV}{dt}=\cfrac{\pi }{3}\stackrel{product~rule}{ \left[ \underset{chain~rule}{2r\cdot \cfrac{dr}{dt}}\cdot h+r^2\cdot \cfrac{dh}{dt} \right]} \\\\\\ -1346=\cfrac{\pi }{3}\left[2\sqrt{\cfrac{307}{3\pi }}(-10)(9)~~+ ~~ \cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\right]

-\cfrac{4038}{\pi }=-\cfrac{180\sqrt{307}}{\sqrt{3\pi }}+\cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\implies \left[ -\cfrac{4038}{\pi }+\cfrac{180\sqrt{307}}{\sqrt{3\pi }} \right]\cfrac{3\pi }{307}=\cfrac{dh}{dt} \\\\\\ -\cfrac{12114}{307}+\cfrac{180\sqrt{3\pi }}{\sqrt{307}}=\cfrac{dh}{dt}\implies -7.920939735970634 \approx \cfrac{dh}{dt}

5 0
2 years ago
Use absolute value to show the distance on the number line between -12 and -2.
Galina-37 [17]

the distance is 10 hope this helps and hope its correct


4 0
3 years ago
Read 2 more answers
Please help me? step by step:) ty
Illusion [34]

Answer:

multiply 5 x 4 = 20

multiply the dimensions of the lighter square

after all the multiplying you subtract your answers and you should get the VERY final answer

*don't add because it's area; just multiply

4 0
3 years ago
I don't get this one plz help
ololo11 [35]
Isocoleese means 2 angles are same, normally the base angles

so since it says they measure 42
rememeber that all angles in traingle add to 180
so base angles+vertex angle=180
base angles aer both 42 so
2 times 42+vertex angle=180
42 times 2=84
so
if veretx angle=z then
84+z=180


answer is B
3 0
3 years ago
Read 2 more answers
Simify
Harlamova29_29 [7]

Step-by-step explanation:

1. -9x - 3 - 3 + 2x

-7x - 6

3. 3 - 4x - 7x - 2

-11x - 1

4. 5x - 1 + 3 + 2x

7x + 2

4 0
2 years ago
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