Let
v-------> <span> the volume of a sphere
s-------> t</span><span>he surface area of the sphere
r------> </span><span>the radius of the sphere
we know that
v=(4/3)*pi*r</span>³-----> v=(r/3)*4*pi*r²------> equation 1
and
S=4*pi*r²-----> equation 2
substitute equation 2 in equation 1
so
v=(r/3)*4*pi*r²-------> v=(r/3)*s
the answer is
the equation that <span>represents the relationship between these three measures
</span> v=(r/3)*s
Answer:
The triangles are similar by AA similarity.
Thus
AB/AD = BC/DE
6/10 = 2/x
x = 3.33
Answer:
The "formula" for an exponential function is f(x) = a * bˣ where a is the initial value / y-intercept. Therefore, a = 4 so f(x) = 4 * bˣ. To solve for b, we can plug in the values x = 3 and f(x) = 500 which becomes:
500 = 4 * b³
125 = b³
b = 5 so the answer is f(x) = 4 · 5ˣ.
Answer:
r = 
Step-by-step explanation:
h bisects l at right angles.
There is a right triangle formed with legs h and l and hypotenuse r
Using Pythagoras' identity, then
r² = ( l )² + h²
= 
l² + h² ← factor out
= (l² + 4h²)
Take the square root of both sides
r = 
=
