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Paha777 [63]
4 years ago
7

The spokes of a bicycle wheel form 10 congruent central angles. The diameter of the circle formed by the outer edge of the wheel

is 18 inches. What is the length, to the nearest tenth of an inch, of the outer edge of the wheel between two consecutive spokes? A. 1.8 inches B. 5.7 inches C. 11.3 inches D. 25.4 inches

Mathematics
1 answer:
Yuki888 [10]4 years ago
8 0

Answer:

5.6 inches.

Step-by-step explanation:

The length of the outer edge of the wheel between two consecutive spokes is given by;

l=d\sin(\frac{\theta}{2} )

where d=18 inches.

and

\theta=\frac{360\degree}{10}=36\degree is the central angle.

We substitute the values to obtain;

l=18\sin(\frac{36\degree}{2})

l=18\sin(18\degree)

l=5.562305899

l=5.6 inches to the nearest tenth.

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What is the opposite of the number 14​
lidiya [134]

Answer:

The opposite of 14 is -14.

Step-by-step explanation:

Opposites are numbers with the same distance from 0 but one is to the right of 0 and the other is to the left of 0.

The opposite of 0 is itself,0.

So the opposite of 5 is -5 since both 5 and -5 have the same distance from 0 and one is to the left and one is to the right of 0.

The opposite of 14 is -14 since both have the same distance from 0 and one is to the right and one is to the left of 0.

You can also think of this question as what can I add to 14 that will give me 0.

The answer is -14 since -14+14=0.

Another word for opposites is additive inverses.  When you add additive inverses you get 0.

Another example: What is the opposite of -16?  

The answer is 16 since 16+(-16)=0.

3 0
3 years ago
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If the rate of the boat in still water is 27 mph, and the rate of the current of a river is x mph, what is the rate of the boat
BigorU [14]

Answer:

a)27-x

b)27+x

Step-by-step explanation:

when a boat travels in the same direction as the current is downstream-->speeds the boat. If the rate of the boat in still water is 27 mph and the rate of the current of a river is x mph, the rate of the boat when the boat is going downstream is 27+x

when a boat travels against the current is upstream-->slow down. If the rate of the boat in still water is 27 mph and the rate of the current of a river is x mph, the rate of the boat when the boat is going upstream is 27-x

6 0
3 years ago
I NEED HELPPPPPP PLEASEEE
daser333 [38]

Answer:

  • x = a^(q/p)

Step-by-step explanation:

<u>See steps below, solving for x:</u>

  • x^(p/q) = a  
  • log x^(p/q) = log a
  • p/q log x = log a
  • log x = q/p log a
  • log x = log a^(q/p)
  • x = a^(q/p)
4 0
3 years ago
What is the measure of angle D? <br> A.45<br> B.122<br> C.70<br> D.32
PIT_PIT [208]

Answer:

D.32

Step-by-step explanation:

14 + 45 = 59

180 - 59 = 121

The oppisite angle in that shape will be equal

so, E= 121

121+27 = 148

180 - 148 = 32

4 0
3 years ago
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Please answer this question
zhenek [66]
The surface area of the pyramid is 260 square centimeters.
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4 years ago
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