Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Using proportions, it is found that the angular velocity at the tip of the blade is of 753.98 radians per minute.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each revolution has 
radians, hence in one minute, the 120 revolutions will have a measure in radians of:
M = 120 x 2pi = 240pi = 753.98
Hence the angular velocity is of 753.98 radians per minute.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Vol of water required to fill up the tub = 12-3 = 9
Rate of water per min = 3 -1.5 = 1.5/min
Using the formula vol = rt
t = v/r
t = 9/1.5 = 6
time taken = 6 mins
Hi There!
Solve the Inequality:
2x-1≤x+5
Move all the variables (in this case, x's) to the left, using the opposite operation:
2x-x-1≤5
Move -1 to the left:
2x-x≤5+1
Combine like terms:
x≤6 (Answer)
<h3>Hope it helps & enjoy your day!</h3>
