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Alex73 [517]
2 years ago
9

How long is the arc intersected by a central angle of StartFraction pi Over 3 EndFraction radians in a circle with a radius of 6

ft? Round your answer to the nearest tenth. Use 3. 14 for Pi. 1. 0 ft 5. 7 ft 6. 3 ft 7. 0 ft.
Mathematics
1 answer:
vladimir2022 [97]2 years ago
8 0

\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =\frac{\pi }{3} \end{cases}\implies s=6\cdot \cfrac{\pi }{3}\implies s=2\pi \implies s\approx 6.3

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7 0
3 years ago
Given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))
kakasveta [241]

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
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Distributive Property

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 5x + 7

g(x) = 3x - 1

<u>Step 2: Find</u>

  1. Substitute in functions:                                                                                    f(g(x)) = 5(3x - 1) + 7
  2. [Distributive Property] Distribute 5:                                                                 f(g(x)) = 15x - 5 + 7
  3. [Addition] Combine like terms:                                                                        f(g(x)) = 15x + 2
7 0
2 years ago
If u = 8 + 4i and v = 3i + 6, then what is u – v?
lozanna [386]
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7 0
3 years ago
Drag the tiles to the correct boxes to complete pair. Two cards are drawn from a well-shuffled standard deck of cards. Match eac
joja [24]

Answer:

The  correct answers are given below

Step-by-step explanation:

In a deck of 52 cards, there are 4 suits of 13 cards

1) Spade(red)

2). Heart(red)

3). Diamonds (red)

4). Clubs (black)

Each suits area ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3 and 2

To find the probabilities

1). The probability of drawing a red ace followed by another ace of any color without replacement = 2/52 *3/51 = 1/442

2). The probability of drawing a 3 or 5 followed by a 4 or 6 with replacement = 8/52 * 8/52 = 4/169

3). The probability of drawing a king followed by queen with replacement =  4/52 * 4/52 = 1/169

4). The probability of drawing a spade followed by a jack of any color with replacement = 13/52 * 4/52 = 1/52

8 0
3 years ago
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Id.k why they removed my last question so here's a question
kondor19780726 [428]

Answer:

a= 2

Step-by-step explanation:

2 x 2=4

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8 0
3 years ago
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