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Snowcat [4.5K]
3 years ago
14

3. A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Answer:

Arc length = 54.85mm

Step-by-step explanation:

360/32 = 11.25

11.25 * 559 = 6288.75

6288.75 * 3.14 = 19746.675

19746.675/ 360 = 54.851875

Rounded to the nearest hundredth

Arc length = 54.85mm

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astra-53 [7]
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Then we can set up this equation:
(y - 7) / (x - 4) = 3
y - 7 = 3 * (x - 4)
y - 7 = 3x - 12
y = 3x - 5
This is the equation of the line.</span>
3 0
3 years ago
In a school, the ratio of soccer players to volleyball players is 4 : 1. The number of soccer players is how many times the numb
soldier1979 [14.2K]

Your question appears to be phrased incorrectly.  If the ratio of soccer players to football players is 4:1 then for every 1 football player there are 4 soccer players.  For example, if there are 3 football players, there would be 12 soccer players.

The equivalent expression would be   S = 4F

The statement: "there are 4 more soccer players than football players" is not the same thing.  It simply means that we add 4 to the total of football players to find out how many soccer players there are.

The equivalent expression would be   S = F + 4

That being said:  An equivalent ratio to 4:1  would be  8:2 ,  12:3,  16:4, ...

Think of the ratio as a fraction.  4:1 = 4/1

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3 0
3 years ago
What is ∛2197? Explain how you got your answer.
user100 [1]

Answer:

13

Step-by-step explanation:

We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is 13^{3}. This will go inside of your cube root. You now have \sqrt[3]{13^{3} }. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.

5 0
3 years ago
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alekssr [168]

Answer:

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b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

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3 years ago
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