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LiRa [457]
1 year ago
8

A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thu

s central angle
Mathematics
1 answer:
babymother [125]1 year ago
4 0

\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}

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Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The
Ierofanga [76]

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

Thus, the concert was 375 adults.

On the other hand we have:

x = 3 (375) = 1125

Thus, the concert was 1125 children.

In total they were:

375 + 1125 = 1500 people

ANswer:

The concert was 1500 people

3 0
3 years ago
If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars?
alukav5142 [94]

Answer:

2/9 boxes.

Step-by-step explanation:

6 / 1 / 3 = 4 / b

Cross multiply the two

6b = 4/3

Multiply 1/6 on each side

B = 4 /18

It can be reduced to 2/9.

Feel free to let me know if you need more help! :)

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