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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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Answer:

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3 years ago
In a class test(3+) marks are given for every correct answer and (-2) marks are given for every incorrect answer (-2) marks are
Diano4ka-milaya [45]

The number of incorrect answers made by Radhika is 8;  the number of incorrect answers made by Mohini = 13

<h3>How to solve algebra word problems?</h3>

We are given;

Marks obtained for 1 right answer = +3

Marks obtained for 1 wrong answer = −2

(i) Marks scored by Radhika = 20

Marks obtained for 12 correct answers = 12 × 3 = 36

Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = 20 − 36 = −16

Marks obtained for 1 wrong answer = −2

Thus, number of incorrect answers = (−16) ÷(−2) = 8

Therefore, the number of incorrect answers made by Radhika = 8

(ii) Marks scored by Mohini = −5

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Thus, number of incorrect answers = (−26) ÷ (−2) = 13

So, the number of incorrect answers made by Mohini = 13

Read more about Algebra word problems at; brainly.com/question/21405634

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2 years ago
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