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Korolek [52]
3 years ago
8

74 POINTS!!! Please help me!!

Mathematics
2 answers:
den301095 [7]3 years ago
8 0

\dfrac{\frac{5\pi}{12}}{2\pi}=\dfrac{5}{24}

\text{therefore the arc is equal} \dfrac{5}{24}\ \text{of circumference of a circle}.

\text{The formula of a circumference of a circle:}\ C=2\pi r

\text{substitute}\\\\\dfrac{5}{24}\cdot2\pi r=4\\\\\dfrac{5}{12}\cdot3.14r=4\\\\\dfrac{15.7}{12}r=4\ \ \ \ |cdot\dfrac{12}{15.7}\\\\r\approx3.1\ in

Answer:\ 3.1\ in

Mrac [35]3 years ago
6 0

Answer:

3.1 inches

is the answer.

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Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
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Let a = the cost of an advance ticket

and s = the cost of a same-day ticket

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                                                         (1)                  a + s = 65

                                                         (2)        15a + 20s = 1150

Subtract a from each side of  (1)     (3)                       s = 65 - a

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Distribute the 20                             15a + 1300 - 20a  = 1150

Combine like terms                                     1300 - 5a = 1150

Subtract 1300 from each side                               -5a = -150

Divide each side by -5                    (4)                     a = 30

Substitute (4) into (1)                                          30 + s = 65

Subtract 30 from each side                                     s = 35

Advance tickets cost $30; same-day tickets cost $35.

Check:

(1) 30 + 35 = 65     (2) 15 × 30 + 20 × 35 = 1150

            65 = 65             450    +    700    = 1150

                                                         1150 = 1150

7 0
3 years ago
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