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Tresset [83]
3 years ago
8

A circle has a radius of 5 inches and a central angle that intercepts an arc with a length of 30 in. What is the measure, in rad

ians, of this central angle
Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

∅ = 6 radians

Step-by-step explanation:

s = r ∅

s is arc length

r is radius

∅ is  the central angle in radians

--------------------------------

Plug in the givens

30 = 5 ∅

Divide both sides by 5

∅ = 6 radians

(FYI : 6 radians is about 343.8º)

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Hi guys please help meee
Lisa [10]
<h3>Answer: 10</h3>

=======================================================

Explanation:

We'll start off converting each mixed number into an improper fraction.

The formula to use is A \frac{b}{c} = \frac{A*c+b}{c}

So,

A \frac{b}{c} = \frac{A*c+b}{c}\\\\2 \frac{1}{8} = \frac{2*8+1}{8}\\\\2 \frac{1}{8} = \frac{16+1}{8}\\\\2 \frac{1}{8} = \frac{17}{8}\\\\

And,

A \frac{b}{c} = \frac{A*c+b}{c}\\\\2 \frac{2}{3} = \frac{2*3+2}{3}\\\\2 \frac{2}{3} = \frac{6+2}{3}\\\\2 \frac{2}{3} = \frac{8}{3}\\\\

So the task of computing 2 \frac{1}{8} \times 2 \frac{2}{3} is exactly the same as computing \frac{17}{8} \times \frac{8}{3}

Notice how we have an 8 up top and an 8 down below. Those 8's cancel out and we're left with \frac{17}{3}. That fraction does not reduce any further.

The last step is to convert that improper fraction result to a mixed number.

\frac{17}{3} = \frac{15+2}{3}\\\\\frac{17}{3} = \frac{15}{3}+\frac{2}{3}\\\\\frac{17}{3} = 5+\frac{2}{3}\\\\\frac{17}{3} = 5 \frac{2}{3}\\\\

Or you could note that 17/3 leads to 5 remainder 2. The 5 is the whole part and the 2 forms the numerator of the fractional part 2/3.

The value is in A \frac{b}{c} form where

  • A = 5
  • b = 2
  • c = 3

Therefore, A+b+c = 5+2+3 = 10

8 0
2 years ago
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Afina-wow [57]

Answer:

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Step-by-step explanation:

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vivado [14]

Answer:

student a answered correctly

Step-by-step explanation:

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kupik [55]
Binomial with degree of 3
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The answer is 915 / 7
Naily [24]

Answer:

If you want 915/7 simplified, it is 130.714285714.

Step-by-step explanation:

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