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The equation for the line containing the vertical right edge of the arch is x = 60.
The line representing the right edge is the line passing through the parabola on the right side at y = 20.
It is given that the left edge of the arch is the y-axis.
The parabola and the vertical base are symmetrical.
We can see that the left edge begins (0, 20). This means that the right edge would also have y = 20.
Observe the given graph. We can see that the parabola passes y = 20 again at the point (60, 20).
This means that the equation of the line representing the right edge is x = 60.
Therefore, we have found the equation for the line containing the vertical right edge of the arch to be x = 60.
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Answer:
The answer is x=60.
Since the arch and its base are symmetrical, so that other side of arch should be at (x, 20). Refer to x-axis when y is equal to 20. Thus, x=60.
I just took the test and the answer is correct.
Step-by-step explanation:
The area of the sector is 20π.
Step-by-step explanation:
The central angle should be converted from radians to degrees.
To convert radian to degree :
1 rad × 180/π gives the degree value.
Therefore, (2/5)π × 180/π = (2/5) × 180
The π gets cancelled out.
⇒ 2× 36
⇒ 72°
To find the area of the sector :
The formula to calculate area of the sector = (central angle/360) × πr²
⇒ (72/360) × 100π
⇒ (1/5) × 100π
⇒ 20π
The area of the sector is 20π.