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3 years ago

I need help with this math problem.

Mathematics

1 answer:

statuscvo [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Intial fee is x. Number of stops is y. You can set up these equations.

x+4y=8
x+8y=14
x+12y=20

You can subtract one from the other:

x+8y=14

- x+4y=8

–––––––

4y=6

We now know that 4y=6. The first equation had 4y, so we can put 6 instead of 4y.

x+6=8
Subract 6, x=2

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gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

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