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Mathematics

2 answers:

kykrilka [37]3 years ago

7 0

Answer:

C = 75 + 45h

Step-by-step explanation:

75 is the flat rate, so you add it

45 is by hour, so you multiply it by the number of hours he works

you add them together for his total service cost

Ierofanga [76]3 years ago

3 0

Answer:

Step-by-step explanation:

the cost is

C= 75 fixed rate + 45* hours worked on the job

C = 75 +45h

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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 $8\pi\cdot \frac{1}{3}=\frac{8\pi}{3}$ .