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Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

5 0

2 x 1/4 is the same as 1/4 + 1/4

Bad White [126]2 years ago

4 0

When you multiply something, you are adding one value the amount of the other value, meaning if you have 4*x, it is equal to x+x+x+x. Using this, we can determine that 2*(1/4) is equal to (1/4)+(1/4), or answer choice A.

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in circle O the radius is 4ft and the measure of minor arc ab is 120 degrees find the length of minor arc ab to the nearest inte

KIM [24]

Answer:

$8\:\text{ft}$

Step-by-step explanation:

The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be $\frac{120}{360}=\frac{1}{3}$ of the circle's length (circumference).

The circumference of a circle is given by $2\pi r$ , where $r$ is the radius of the circle. Therefore, the circumference of the circle is $2\pi(4)=8\pi$ . As we found earlier, the length of the arc is $\frac{1}{3}$ of this circumference. Therefore, the arc's length is $8\pi\cdot \frac{1}{3}=\frac{8\pi}{3}$ .