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N76 [4]
3 years ago
12

The volume of a cone is 196π ft ^3 . It's radius is 7 ft. Find the height.

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0

Answer:

the height is about 12

Step-by-step explanation:

plug into the equation V=\pi r^{2}\frac{h}{3}

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I dont really understand this??​
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Answer:

x\geq  -53

Step-by-step explanation:

The inequality includes -53.

The interval notation is \:[-53,\:\infty \:)

\{ x \in \mathbb{R}: x \geq  -53 \}

8 0
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Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week
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5 0
3 years ago
If x varies inversely as y 2, and x = 2 when y = 20, find x when y = 5.
Dominik [7]

Step-by-step explanation:

x =  \frac{k}{y}

x varies inversely as y. This means that x is equal to the inverse of y which can be translated as x = 1/y but the problem said that x is <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>x</u><u>a</u><u>c</u><u>t</u><u>l</u><u>y</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u><u> </u>to the inverse of y. Therefore, we need to introduce a factor k. Factor k will represent the word "varies" in the problem.

To illustrate:

x =  \frac{k}{y}

Since we don't have the value of k, we have to solve for it by using the first values of x and y which was given as x=2 and y=20.

x =  \frac{k}{y}  \\ 2 =  \frac{k}{20}  \\ k = 2(20) = 40

Now that we have the value of k, we can now solve for the value of x when y=5.

x =  \frac{k}{y}  \\  =  \frac{40}{5}  \\  = 8

Therefore, when y is 5, the value of x is 8.

6 0
3 years ago
Example 3
AysviL [449]
ANSWER:
Peremeter=150 feet
Let wodth be x
then,length be x +15
ATQ
x+x+15=150
2x+15=150
2x=150-15
2x=135
x=135/2
x=67.5 feet
Then:
WIDTH=67.5 feet
LENGTH=67.5+15
= 82.5 feet
6 0
3 years ago
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