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:
4 hours
Step-by-step explanation:
72+12x=120 and when you isolate x you get x=4
Answer:
3/8 < 3/6
This is because, when the common denominator (24) is found, the fractions are 9/24 (red) and 12/24 (yellow).
Answer:
The number of original students desks were there in school before purchase was made is 980 .
Step-by-step explanation:
Given as :
The total number of new desks purchased including teacher and students = 295
The number of new desks purchased for students =
of original students desks available
The number of new desks purchased for teachers = 50
Let The number of original students desks available before purchase = S
Now, According to question
∵ The total number of new desks purchased including teacher and students = 295
I.e The number of new desks purchased for students + The number of new desks purchased for teachers = 295
Or,
of S + 50 = 295
Or,
× S = 295 - 50
Or ,
× S = 245
∴ S = 245 × 4 = 980
So, original desks available for students = S = 980
Hence The number of original students desks were there in school before purchase was made is 980 . Answer