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Scrat [10]
3 years ago
12

A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should

move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 45.1 inches squared. What is the radius of the spinner
Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

9.3 inches

Step-by-step explanation:

The computation of the radius of the spinner be given below:

Let us assume the same be x

So

We know that

Total area of the sector = one-sixth of the total area of the spinner

Given that

45.1 =  1 ÷ 6 × π × r^2

r^2 = 45.1 × 6 ÷ π

r^2 = 86.1

r = 9.279

= 9.3 inches

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Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
zalisa [80]

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

In this question:

f(x) = 4x - 2, b = 4, a = 2

Thus:

f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14

f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6

Average rate of change:

A = \frac{f(b)-f(a)}{b-a}

A = \frac{14-6}{4-2}

A = \frac{8}{2}

A = 4

The average rate of change between x = 2 and x = 4 is of 4.

7 0
2 years ago
The student population at a middle school in June, 2020 was 1678. In September, 2021, the student population was 1463. What is t
HACTEHA [7]

Answer: -12.81% decrease

Step-by-step explanation:

1678-1463/1463 * 100 = -12.8128

6 0
3 years ago
Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?
damaskus [11]

Answer:

f(x)= (x+8)^2 + 200

Step-by-step explanation:

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H is the x coordinate and K is the y coordinate

6 0
3 years ago
If at a toy store, 2 board games cost $13.40, what is the unit price of a board game?
olganol [36]

Answer:

The unit price of a board game is $6.70

Step-by-step explanation:

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Cross multiply:

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Hope this helps plz hit the crown :D

7 0
2 years ago
Question 6
77julia77 [94]

Answer:

9.28/2.9=3.2is a required answer

4 0
2 years ago
Read 2 more answers
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