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tatyana61 [14]
3 years ago
12

If Natalie walked 3/5 in 1/2 hour, how fast did she walk, in miles per hour?

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0
She walked .6 mph because 3/5 x 2= 6/10
1/2 x 2=1

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Angles A and B are complementary angles in a right triange. The value of cos(A) is 12/13. What is the value of Tan(A)
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Using the pythagorean identity, we can find the value of sin(A)

cos^2(A) + sin^2(A) = 1
(12/13)^2 + sin^2(A) = 1
144/169 + sin^2(A) = 1
sin^2(A) = 1 - 144/169
sin^2(A) = 169/169 - 144/169
sin^2(A) = (169 - 144)/169
sin^2(A) = 25/169
sin(A) = sqrt(25/169)
sin(A) = 5/13

Which is then used to find tan(A)

tan(A) = sin(A)/cos(A)
tan(A) = (5/13) divided by (12/13)
tan(A) = (5/13)*(13/12)
tan(A) = (5*13)/(13*12)
tan(A) = 5/12

The final answer is 5/12

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