Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
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<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k
Answer:
Step-by-step explanation:
Area of a sphere is 
let d be the diameter of the moon and D be the diameter of the earth
d = 1/4 D
Area of Earth = 
Area of moon = 

Answer:
a
Step-by-step explanation:
The opposite angles of a parallelogram are equal. Therefore, for parallelogram KLMN, <K = <M
Two numbers that add up to 2 and multiply to -35
-5 and 7
Rewrite the expression using the above;
<u>(x - 5)(x + 7)</u>