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.
Answer: C≈53.41cm
If rounded the answer is C=50.00
HOPE THIS HELPS
Answer: sec (75) or csc (15)
Step-by-step explanation:
255 is in the 3rd quadrant where the secant is. Here, the tangent and cotangent is positive.
Reference angle for 255 is,
255 - 180 = 75 degrees.
Therefore, sec (255) = sec (75)
= csc (90 - 75) = csc (15)
Answer:
2.646
Step-by-step explanation:
You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646
