Answer:
<h3>The radius is 7 cm</h3>
Step-by-step explanation:
Volume of a sphere is given by
where r is the radius
From the question V = 1436 cm³
Multiply through by 3
We have
Divide both sides by 4π
Find the cube root of both sides
![r = \sqrt[3]{ \frac{1077}{\pi} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B1077%7D%7B%5Cpi%7D%20%7D%20)
r = 6.99
We have the final answer as
<h3>r = 7cm</h3>
Hope this helps
She can make two complete doormats. 48 inches converts to 4 ft. 4 can go into 10 twice, with two feet remaining
The answer is -8
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Explanation:
There are two ways to get this answer
Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8
-----------------------
The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4
g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8
Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8
Regardless of which method you use, the answer is -8
1018262910101101 explanation:
Answer:
36 cm
Step-by-step explanation:
1cm = 10 km
360km/10km=36
1x36=36
