Answer:
2000π in³/s
or 6283.2 in³/s
Step-by-step explanation:
dr/dt = 5
volume of sphere is given as
v = (4/3)(π)r³
differentitate wrt r
dv/dr = 3×4/3 ×π×r²
dv/dr = 4πr²
put r = 10
dv/dr = 4π(10)²
dv/dr = 400π
by chain rule
dv/dt = dv/dr ×dr/dt
dv/dt = 400π× 5
dv/dt = 2000π in³/s
or dv/dt =6283.2 in³/s
Answer: Option C
, 
Step-by-step explanation:
If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.
By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a ', b' and c 'then:

In this case

So:




Therefore
if
and
then 
Finally
, 
N is a variable in algebra. Variables are letters that represent unknown numbers. Variables can be any letter of the alphabet.
Here's how to use n in an algebraic equation:
5 + n = 12
To find what N represents, let it be the only thing on the left side of the variable:
5 -5 + n = 12 - 5
n = 7
Happy to help!
$15
Explanation:
For each lawn he mows = $5
<u>He should mow 6 lawns but did only 3 lawns as other 3 he forgot to mow.</u>
earned:
Answer:
9
Step-by-step explanation:
Divide 6 by 2:
3(1+2)
Add 1 and 2:
3 x 3
Multiply 3 by 3:
3 x 3 = 9