Hello from MrBillDoesMath!
Answer:
Diameter = 2r = 2 (sqrt(24/Pi))
Circumference = 4 sqrt(6Pi)
Discussion:
Given:
Area of circle = Pi r^2
24 = Pi r^2 => (as Pi r^2 is the formula for area of a circle)
24/Pi = r^2 => ( now take the square root of both sides)
r= sqrt(24/Pi)
Diameter = 2r = 2 (sqrt(24/Pi))
Circumference = 2 PI r = 2Pi (sqrt(24/Pi))
= 2Pi (sqrt(24)/sqrt(Pi) )
= 2Pi (2sqrt(6)/sqrt(Pi) )
= 4 (pi/ sqrt(Pi) ) sqrt(6)
= 4 sqrt(Pi) sqrt(6)
= 4 sqrt(6Pi)
Thank you,
MrB
Answer:
671,088,640.
Step-by-step explanation:
To determine the 14th term of the geometric sequence that begins with 10, 40 and 160, knowing that each number is multiplied by 4, the following calculation must be performed, taking into account that the initial number (10) is multiplied by 4, and that said number must be potentiated 13 times to obtain the 14th term:
10 x (4 ^ 13) = X
10 x 67,108,864 = X
671,088,640 = X
Therefore, the 14th term of the geometric sequence will be 671,088,640.
The answer should be 8+[(2^2)+3]-5
Hope this helps!
Answer:
12.5%
Step-by-step explanation:
First we need to calculate the change in the area of Terry's room this is
108 ft2 - 96 ft2 = 12 ft2
Then we use a direct proportion in order to find the percentage
96 ft2 ----- 100%
12 ft2 ----- p?
Solvin for p we have that

p=12.5