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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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Step-by-step explanation:

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2 years ago
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Vinvika [58]

Answer:

f(g(4)) = 213

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
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  4. Multiplication
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 8x + 5

g(x) = 7x - 2

<u>Step 2: Find f(g(4))</u>

  1. Substitute in <em>x</em> [Function g(x)]:                                                                         g(4) = 7(4) - 2
  2. Multiply:                                                                                                             g(4) = 28 - 2
  3. Subtract:                                                                                                            g(4) = 26
  4. Substitute in function value [Function f(x)]:                                                      f(g(4)) = 8(26) + 5
  5. Multiply:                                                                                                              f(g(4)) = 208 + 5
  6. Add:                                                                                                                   f(g(4)) = 213
3 0
3 years ago
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jek_recluse [69]

Answer:

Step-by-step explanation:

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7 0
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Answer:

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Phoenix [80]

Answer:

The answer is B) 1/25

Step-by-step explanation:

This is because given that f(x) = 5^x

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