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DanielleElmas [232]
3 years ago
8

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 48 inches,

how long is each spoke? Use 3.14 for π, and round your answer to the nearest hundredth.
A. 12 inches
B. 7.64 inches
C. 15.29 inches
D. 8 inches
Mathematics
2 answers:
drek231 [11]3 years ago
5 0

Answer: B. 7.64 inches

Step-by-step explanation: Correct for Penn foster exam.

finlep [7]3 years ago
4 0
The circumference of a circle is <span>πd
You know the circumference of the rim of the wheel is 48 inches so to find the diameter (d) you divide 48/3.14 which gives you 15.29 inches.
As the spoke goes from the center to its rim, it it is the radius, which is half of the diameter.
15.29/2 is B) 7.64 inches.</span>
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Step-by-step explanation:

The figure of the pentagon is missing: find it in attachment.

The area of the pentagon can be seen as the area of 5 equal triangles, each of them having a base equal to the length of the side of the pentagon,

L = 14.1 cm

and the height of each triangle can be found by using Pythagorean's theorem:

h=\sqrt{12^2-(\frac{L}{2})^2}=\sqrt{12^2-(\frac{14.1}{2})^2}=9.7 cm

The area of each of the 5 triangles is

A'=\frac{1}{2}Lh

Therefore, the area of the pentagon is 5 times this area:

A=5A'=\frac{5}{2}Lh=\frac{5}{2}(14.1)(9.7)=342 cm^2

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Step-by-step explanation:

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The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  +14  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 14 = 14  

Step-2 : Find two factors of  14  whose sum equals the coefficient of the middle term, which is   -9 .

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     -7    +    -2    =    -9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -2  

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Step-4 : Add up the first 2 terms, pulling out like factors :

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Step-5 : Add up the four terms of step 4 :

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