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I am Lyosha [343]
3 years ago
14

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. The central angle formed by the peach co

bbler is 105 degrees. The central angle formed by the pasta is 203 degrees. What is the approximate length of the arc of the section containing the peas? A. 3 inches B. 21 inches C. 16 inches D. 5 inches
Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0

Answer:

D. 5 inches

Step-by-step explanation:

Given:

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.

That means complete angle having 360° is divided into 3 section.

The central angle formed by the peach cobbler is 105 degrees.

The central angle formed by the pasta is 203 degrees.

<u>Question asked:</u>

What is the approximate length of the arc of the section containing the peas?

<u>Solution:</u>

The central angle formed by the peas = 360° - 105° - 203°

                                                                = 52°

Ridius,r=\frac{Dameter}{2} =\frac{12}{2} =6\ inches

As we know:

Length\ of\ arc=2\pi r\times\frac{\Theta }{360}

                        =2\times\frac{22}{7} \times6\times\frac{52}{360} \\ \\ =\frac{13728}{2520} \\ \\ =5.44\ inches

Therefore, the approximate length of the arc of the section containing the peas are 5 inches.

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Leona [35]

The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>
  • The polygon with 3 sides, three vertices, and three angles is known as a triangle.
  • A triangle's overall number of degrees is always 180 degrees.

Given:

  • Let, the second angle has a measurement of x degrees.
  • The first angle's measurement is 24 degrees greater than the second angle's measurement.
  • As a result, the first angle is (24+x) degrees.
  • The third angle is four times as large as the second.
  • As a result, the third angle has a measure of 4x.

So,

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As a result, the second angle has a measurement of 26 degrees.

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Therefore, the greatest angle in the given triangle is 104 degrees.

Know more about triangles here:

brainly.com/question/17335144

#SPJ4

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