To find the approximate volume of the volcano, you will use the formula for finding the volume of a cone.

V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 8^2 x 1.95
V = 130.624

The approximate volume of the volcano is 131 cubic kilometers.

7 0

3 years ago

12 is _% of 200 fill in the blank

Andrei [34K]

We set up a proportion: 12/200= ?/100

Cross multiply:
200*?= 12*100
⇒ ?= 12*100/200= 6

12 is 6% of 200~

6 0

3 years ago

Read 2 more answers

Given △ABC. m∠A>m∠B>m∠C. Perimeter=30. Which side of △ABC may have length 7?

lisabon 2012 [21]

<u>Solution-</u>

As given in △ABC,

$m\angle A>m\angle B>m\angle C$

As from the properties of trigonometry we know that, the greater the angle is, the greater is the value of its sine. i.e

$\sin A>\sin B>\sin C$

According to the sine law,

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

In order to make the ratio same, even though m∠A>m∠B>m∠C, a must be greater than b and b must be greater than c.

$\Rightarrow a>b>c$

Also given that its perimeter is 30. Now we have to find out whose side length is 7. So we have 3 cases.

Case-1. Length of a is 7

As a must be the greatest, so b and c must be less than 7. Which leads to a condition where its perimeter won't be 30. As no 3 numbers less than 7 can add up to 30.

Case-2. Length of b is 7

As b is greater than c, so c must 6 or less than 6. But in this case the formation of triangle is impossible. Because the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. If b is 7 and c is 6, then a must be 17. So no 2 numbers below 7 can add up to 17.

Case-3. Length of c is 7

As this is the last case, this must be true.

Therefore, by taking the aid of process of elimination, we can deduce that side c may have length 7.

5 0

3 years ago

Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture

Iteru [2.4K]

Given:

The function for size of a square frame is

$f(x)=x+2$