Answer:
Step-by-step explanation:
r=5 ×90/100=4.5 in
h=6×90/100=5.4 in
a.
volume of original cylinder=π×5²×6=150 π≈471.24 in³
b.
volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³
c.
decrease in volume=150 π-109.35 π=40.65π
% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %
Answer:
Step-by-step explanation:
The question will look like (3b)/(a^-2)
To simplify, note the (a^-2). It is a negative, so flip the placement of the monomial. Note that the term is located in the decimal, so when it is flipped, it goes to the numerator (vice versa if it is opposite)
(3b)/(a^-2) = (3b)(a²)
3a²b, or (A) is your answer choice
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Answer:
Length of the bold arc = 72.63 ft
Step-by-step explanation:
Length of the arc = 
Here, θ = angle subtended by the arc at the center
r = Radius of the circle
Since, angle subtended by the bold arc at the center = 360 - 73
= 287°
And radius of the circle 'r' = 14.5 ft
By substituting these values in the formula,
Length of the bold arc = 
= 72.632
≈ 72.63 ft
Therefore, length of the bold arc = 72.63 ft