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hram777 [196]
3 years ago
5

a circle has a radius of 6 in. what is the exact length of an arc formed by a central angle measuring 45 degrees

Mathematics
2 answers:
earnstyle [38]3 years ago
5 0

Answer:

It is 1.5, you ,might get 3/2, but make sure you divide it to get the answer of 1.5pi. (put the pi sign, not pi)

Step-by-step explanation:

Taya2010 [7]3 years ago
4 0
To answer, determine first the circumference of the circle by the equation,
                                     C = 2πr
Substituting the known values,
                                      C = 2π(6 in.) = 12π in
Then, multiply this calculated value with the ratio of the intercepted central angle to the total revolution.
                           measure of arc = (12π in)(45°/360°)
                            measure of arc = 1.5π in
Thus, the measure of the arc is approximately 1.5π in. 
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beks73 [17]

Answer:

The population will be double in 0.5 years.

Step-by-step explanation:

The population growth of a community is modeled by the equation P(x) = 155580(4)^{x + 1}, where P (x) is population and x is time in years beginning with x = 0.

Therefore, the population at x = 0 will be = P(0) = 155580(4)^{0 + 1} = 622320

If the population becomes double then we can write the equation as

P(x) = 2 \times 622320 = 155580(4)^{x + 1}

⇒ 4^{x + 1} = 8

⇒ 2^{2(x + 1)} = 2^{3}

⇒ 2(x + 1) = 3 {Comparing the power terms}

⇒ x + 1 = 1.5

⇒ x = 0.5 years.

Therefore, the population will be double in 0.5 years. (Answer)

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serg [7]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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