Answer:
4.5 cm
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
121.5 pi = 4/3 pi r^3
Divide each side by pi
121.5 = 4/3 r^3
Multiply each side by 3/4
3/4 *121.5 = 3/4 * 4/3 r^3
91.125 = r^3
Take the cube root of each side
(91.125)^ (1/3) = r^3 ^(1/3)
4.5 = r
Answer:
rectangular prisim
Step-by-step explanation:
1. using 2 dots that are on the blue line (0,72) and (6,69)
find the slope:
slope = change in Y over change in x = 69 - 72 / 6-0 = -3 / 6 = -1/2
equation would be y = -1/2x + 72
2. y = -1/2x+72 = -1/2(30) +72 = -15 +72 = 57 beats per minute
3. replaced x in the equation with 30 to find the beats per minute for exercising 30 minutes
Answer:
122 Degrees
Step-by-step explanation:
Since we are given that angle 1 and 2 make a linear pair:
angle 1 + angle 2 = 180 degrees ----------------------------(1)
We have also been told that angle 2 is 6 more than twice the measure of angle 1
Which means: angle 2 = (2*angle1) + 6 -------------------(2)
From putting the value of angle 2 in (1) from (2)
<em>angle 1 + 2*angle 1 + 6 = 180</em>
<em>3*angle 1 = 174</em>
angle 1 = 58 degrees -----------------------(3)
From (1) and (3):
<em>angle 2 + 58 = 180</em>
angle 2 = 122 degrees
Therefore, the measure of angle 2 is 122 degrees
