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Answer:
The scale factor of the dilation is 1/5
Step-by-step explanation:
Answer:
1. I am not sure about the first one. I tried everything and nothing I got from any of my work is looking right.
2. AB = 5
3. 8
The area of the quarter circle with radius 3ft is
Area of a quarter circle is given by the formula:
Where r represents the radius of the circle
In the quarter circle shown, the radius, r = 3 feet
π = 3.14
Substitute π = 3.14 and r = 3 into the formula
The area of the quarter circle with radius 3ft is
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Answer:
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
-
The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
∵ cos (60°) = 1/2
Dividing both sides by 2
Simplify
Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵
Therefore, the value of y is:
Summary: