Answer:
141.3 cubic inches
Step-by-step explanation:
The volume of a cylinder is found using the volume formula 
.
The radius is half the diameter 6 which is 3.
Substitute h=5 and r = 3.
Answer:
7 meters by 5 meters, or vice versa
Step-by-step explanation:
p = 24 meters
a = 35 meters²
Formula for perimeter = l + l + w + w
Formula for area = l · w
7 and 5 are the only values where the rules are satisfied.
x + x + y + y = 24
7 + 7 + 5 + 5 = 24
14 + 10 = 24
x · y = 35
7 · 5 = 35
The answer is x= 53 because of verticals angles
Answer:
x = ⅓ acos(y/7) + π/18, [-7, 7/2]
Step-by-step explanation:
y = 7 cos(3x − π/6)
Solving for x:
y/7 = cos(3x − π/6)
acos(y/7) = 3x − π/6
acos(y/7) + π/6 = 3x
x = ⅓ acos(y/7) + π/18
The domain of x is the same as the range of y.
When x = π/6:
y = 7 cos(3π/6 − π/6)
y = 7 cos(π/3)
y = 7/2
When x = 7π/18:
y = 7 cos(21π/18 − π/6)
y = 7 cos(π)
y = -7
So the domain of x as a function of y is [-7, 7/2].
The answer would be D. Survey a random sample of persons within each geographical region of the city.
This is because the other 3 answers are biased samples of data, which could sway the data collected and/or the decision that is made upon it.
Hope this helps! :)
