-12.166 divided by (-1.54)
1 answer:
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Answer:
a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).
b.
c. The total area of the figure is 279 square inches.
Step-by-step explanation:
a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,
b. The area of a rectangle can be found using this formula:
Where "l" is lenght and "w" is the width.
Area of Rectangle A
You can identify that:
Then, its area is:
Area of Rectangle B
You can identify that:
Then, its area is:
Total area
c. The total area of the figure is 279 square inches.
The height of the screw = 16 inches.
<h3>How do you determine the number of revolutions in a circle?</h3>The total distance covered in one revolution will be equal to the perimeter of the wheel. Finally, to find the total number of revolutions, divide the total distance by distance covered in one revolution.
Given that,
Diameter of a bicycle = 16 inches
The distance the bike moves (forward) after the screw punctures the tire = 56π inches
We note that the circumference of the bicycle = π·D = π × 16 = 16π inches
Therefore,
= 3.5
Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.
The height, h of the screw in the final half turn is given by the relation;
h = A cos(Bx - C) + D
Where
A = Amplitude of the motion = Diameter/2 = 16/2 = 8
P = The period of the motion 2π/B
Bx = The angle described by the motion = Half of one revolution = π = 180°
C = Phase shift = π
D = The mid line = Diameter/2 = 8 inches
Therefore;
h = 8×cos(π - π) + 8 = 16 inches
Hence, After the bike moves forward another 56π inches the height of the screw = 16 inches.
To learn more about number of revolution from the given link:
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