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Anni [7]
3 years ago
9

Please help! If sin(xº)=cos(yº) find k if x=2k+3 and y=6k+7

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

answer

10

step-by-step explanation

the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7

substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)

sin(x) = cos(y)

sin(2k + 3) = cos(6k + 7)

we know that sin(x) = cos(90 -x)

sin(2k + 3)

= cos(90 - (2k + 3) )

= cos(90 - 2k - 3)

= cos(87 - 2k)

substitute this into the equation sin(2k + 3) = cos(6k + 7)

sin(2k + 3) = cos(6k + 7)

cos(87 - 2k) = cos(6k + 7)

87 - 2k = 6k +7

80 = 8k

k = 10

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Simplify the equation to get
4x+73=37+x
you can choose one of four ways to continue, but I will choose to subtract x
3x+73=37
Subtract 73 from both sides of the equal sign
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3 years ago
One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?
denis-greek [22]

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pashok25 [27]

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Step-by-step explanation:

Question 3

12/7 is greater than 6/13 and it's asking what numbers would be incorrect meaning less than 6/13 (unmark 12/7)

1/10 is correct since 6/13 is greater than 3 / 65 (It's what you get when you multiple 1/10 with 6/13)

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To answer this, you first have to find 3/8 of 4200 by multiplying those two numbers.

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All that's left is to subtract that number from 4200.

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The final answer is 2625 adults in Lakeview have children.


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