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3 years ago

An angle in standard position measures 7π6 radians. In which quadrant does the terminal side of this angle lie?

Mathematics

1 answer:

Gennadij [26K]3 years ago

8 0

Hello!

To find the quadrant of where the angle 7π/6 radians is located, we will need to convert from radians to degrees. To do that, we will need to multiply it by 180/π.

7π/6 × 180/π = 1260/6 = 210 degrees

Since 210° is between 180° and 270°, then 7π/6 radians is located in the third quadrant shown by: Quadrant III, then 180° < θ < 270°.

Therefore, 7π/6 radians is located in quadrant III.

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2 years ago

An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.

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$y=-\frac{1}{100}(x-50)^2+25$

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Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

$y=a(x-h)^2+k$ , (h,k) is the center

$y=a(x-50)^2+25$

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the height of the arch 10 feet from the center.

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$y=-\frac{1}{100}(40-50)^2+25$

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