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olga2289 [7]
2 years ago
12

A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the

Mathematics
1 answer:
aev [14]2 years ago
3 0

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

\displaystyle s=2\pi r\frac{\theta}{360^\circ}

Where <em>r </em>is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)

Use a calculator:

\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}

Our answer is A.

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Please help worth 25 points
wariber [46]

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

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Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

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To find the value of h we have to solve the quadratic equation.

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So, h2+3h-54=0

h2+9h-6h-54=0

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