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Licemer1 [7]
3 years ago
7

Please help as fast as you can.

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

cos\theta=\sqrt{\frac{85}{121}}

tan\theta=\frac{6}{\sqrt{85}}

Step-by-step explanation:

given, sin\theta=\frac{6}{11}

since, sin^2\theta+cos^2\theta=1

cos^2\theta=1-sin^2theta

cos^2\theta[/tax]=1-[tex]\frac{36}{121}

                                 =\frac{121-36}{121}

                                 =\frac{85}{121}

cos\theta=\sqrt{\frac{85}{121}} answer

tan\theta=\frac{sin\theta}{cos\theta}

  tan\theta=\frac{6}{\sqrt{85}}  answer                      

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A theater charges $25 for adults and $15 for children. When the price of a child's ticket increases to $18 next year,the cost fo
Ilia_Sergeevich [38]
Given:
tickets for adults - 25
tickets for kids - 15
initial cost - 450
increase in tickets for kids to - 18
cost after increase - 480

let x be number of adults and y be number of kids

25x + 15y = 450
25x + 18y = 480

subtraction:

25x + 15y = 450
<u>-25x - 18y = -480</u>
 0      - 3y = - 30
         y = -30/-3
         y = 10

There are 10 kids.

25x + 15y = 450
25x + 15(10) = 450
25x + 150 = 450
25x = 450 - 150
25x = 300
x = 300/25
x = 12

There are 12 adults.

All in all there are 12 adults and 10 kids.

to check:
25x + 15y = 450
25(12) + 15(10) = 450
300 + 150 = 450
450 = 450

25x + 18y = 480
25(12) + 18(10) = 480
300 + 180 = 480
480 = 480
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