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Black_prince [1.1K]
3 years ago
11

50 points for the answer!!! Please help

Mathematics
2 answers:
Anton [14]3 years ago
7 0

Answer:

X=1

x2= 1.3

Step-by-step explanation:

KATRIN_1 [288]3 years ago
5 0
Okay so I did the problem and they tricked us. That minus sign you see next to the x48 is actually a negative sign so you actually are suppose to divide to get 1.3 and I believe that's the answer.

X=1

x2= 1.3
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ValentinkaMS [17]
It would decrease by one number each time
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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
PLEASE HELP ASAP
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No cause it will cost here half that much to do the hole thing
4 0
3 years ago
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What’s the question mark
nikitadnepr [17]

Answer:

? = 30

Step-by-step explanation:

If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.

Set up a proportion.

63/54 = 35/?

63? = 54 * 35

63? = 1890

? = 30

8 0
3 years ago
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Why is it mathematically legal to multiply 2 √ 2 by √ 2 √ 2 in order to rationalize the denominator?
Gala2k [10]
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and the value multiplicand doesn't change in any way

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\textit{check how much is }\cfrac{2}{\sqrt{2}}\textit{ in your calculator}
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\textit{then check how much is }\sqrt{2}\textit{ in it}
6 0
3 years ago
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