Answer:
The third one is the correct, we can rewrite r = sqrt(60/pi) as r = 2*sqrt(15/pi).
Step-by-step explanation:
The area of a circle is given by the following formula:
area = pi*r²
Therefore the radius of a circle in function of it's area is given by the following:
pi*r² = area
r² = area/pi
r = sqrt(area/pi)
In this problem we have a circle with an area of 60 square centimeters, therefore the radius is expressed by:
r = sqrt(60/pi)
We can rewrite 60 as 4*15, so we have:
r = sqrt(4*5/pi)
Since sqrt(4) = 2, we can rewrite it as:
r = 2*sqrt(5/pi)
Therefore the write expression is the third one.
Slope-Intercept Form - Y = Mx + b
Y = 1/4x + 1
hence,
65=5(1-3^n)/1-3
( multiply by -2 on both sides )
130=5(1-3^n)
26=1-3^n
27=3^n
from here, you can use lg to solve for n.
lg 27 = lg 3^n
lg 27 = n lg 3
n = lg 27 ÷ lg 3
hence, n = 3
Answer:
27x-68
Step-by-step explanation:
-4(2x+3)+7(5x-8)
= -8x-12+35x-56
=27x-68
Answer:
3.14
Step-by-step explanation:
-8 - 92.5 = -100.5, and then -100.5/(-32) = 3.14
Alternatively, type in (-8 -92.5)/(-32)