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:
1st one
Step-by-step explanation:
Answer:
Four billion, two-hundred seventy five thousand.
The illustration of the given mathematical elements is as in the attached images.
<h3>Illustration of mathematical elements</h3>
For line segments;
- The beginning and end of the line are specified by the assigned alphabets.
However, for rays;
- The ray is illustrated to originate from a point and span on from there till infinity.
For angles;
- The alphabet in the middle of the set of 3 alphabets used to identify the angle represents the center point of where the angle is located.
Read more on illustration of mathematical elements;
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