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: 1.893 Welcome
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
You want the smaller of the two factors of 896 that have the ratio 8:7.
<h3>Setup</h3>
Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...
x(8/7)x = 896
(8/7)x² = 896
<h3>Solution</h3>
Multiplying by the inverse of the coefficient of x², we have ...
x² = (7/8)(896) = 784
x = √784 = 28 . . . . . . . . take square root
The smaller of the two numbers is 28.
__
<em>Additional comment</em>
The larger is (8/7)(28) = 32.
The answer is 55 and 25 (25)x2=50, 50+5=(55), 55+25=80.
2y=1/2x+10
divide by two
y=1/4x+5
