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Anni [7]
3 years ago
15

2. If you know the volume of a cube, how do you find its edge length? nel

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

\huge\boxed{\sqrt[3]{\text{V}}}

The volume of a cube is found by cubing the edge length — or multiplying it by itself twice.

In other words, the volume of a cube is as follows:

V=e*e*e

Simplified:

V=e^3

To find the edge length from the volume, you'd have to do the opposite, which is to find the cubic root.

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Two towns are 1300 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet af
Leto [7]
240(v+2.5)=1300-240v

240v+600=1300-240v

480v=1900

v=95/24

v-2.5=v-5/2

95/24-60/24=35/24

So the faster group travels at 95/24 mph (≈3.96 mph) and the slower group travels at 35/24 mph (≈1.46mph)

check...

240(95/24)=950 miles from the origin...

1300-240(35/24)=950 miles from the origin...

5 0
3 years ago
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
If you receive 20% off a pair of pants that costs 48.00$ what is the discount and final price
LenaWriter [7]

0.2(48)= $9.6 [discount]

48-9.6 = $38.40 [total]

6 0
3 years ago
You drive 8 miles from your house to your friend's house. Your house is at an elevation of 240 feet. Your friend's house is at a
dedylja [7]
(680 - 240) / 8 = 440/8 = 55 ft per mile
7 0
3 years ago
How did the temperature change if: At first it increased by 25% and then decreased by 40%
Roman55 [17]

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

Increase by 25%

x + .25x

1.25x

Decrease by 40%

The amount decreased is

(1.25x) *.40

.496x

Subtract that from 1.25x

1.25x - .496x

.754x

We need to find the percent decrease

1 - .754 = .246

24.6 % decrease

7 0
3 years ago
Read 2 more answers
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