Answer:7
Step-by-step explanation:
Answer:
Step-by-step explanation:
The volume of a sphere is

We are told our volume is 500pi/3, so we fill that in and solve for r:

Start by multiplying both sides by 3 over 4 pi:

Simplifying gives us

Take the cubed root of both sides to get that
r = 5
Answer:
3.7
Step-by-step explanation:
Really just divide and then round it to only one number on the right of the decimal(use a calculator)
Answer:
Point A and point B have 11 units between
Step-by-step explanation:
If the distance between 0 and 10 is 10 also known as the absolute value, you just add one more unit because it starts at -1
So 10 + 1 = 11 and because we are using 10 is greater than 1 its positive so the answer is 11
Hope this helps :)
OK. I did it, and I have the solution.
_____________________________________
The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
___________________________________________________
That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².