The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount
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Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.
<h3>How to find the mean value of a data set?</h3>The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.
If the data set consists of values
x_1, x_2, ..., x_n
, then we get the mean value as:
Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.
mean=
Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.
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The area and arc length of each piece can be found using the
relationship between a circle and a sector of the circle.
Responses (b, c, and d are approximated):
a. 120°
b. 10.6 square inch
c. 28.3 in.
d. Area: 15.8 in.², Central angle: 89.1°
<h3>How can the pie pieces dimensions be evaluated?</h3>Given:
Diameter of the pan, d = 9-inch
Number pie pieces cut from the apple pie = 6
The pie pieces are sectors of a circular pie.
a. The central angle of one pie pieces = = 60°
Therefore;
- The central angle of two pie pieces = 2 × 60° = <u>120°</u>
b. Area of circular pie = π·r²
Where;
Therefore;
- The area covered by each pie piece is approximately <u>10.6 square inch</u>
c. The circumference of a circle = 2·π·r
The circumference of the original pie = 2 × π × 4.5 in. ≈ <u>28.3 in.</u>
d. Let the arc length of the pie piece = 7 inches
- The area of the pie piece is approximately <u>15.8 in.²</u>
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Learn more about circumference, area and sector of a circle here: