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puteri [66]
3 years ago
6

1.Prove each statement. step by step PLEASE!!!

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

a. sin^-1(sin theta) = theta

   (1/sin)(sin theta) = theta

<em>the sines cross out</em> theta = theta

b. cos(cos^-1x) = x

   cos(x/cos) = x

<em>the cosines cross out </em>x = x

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Determine wether the equation represents a direct variation. If it does find the constant of variation. 2y=5x+1
svp [43]

Answer:

No, the equation does not represent a direct variation.

Step-by-step explanation:

The answer is immediately evident:  NO.  The reason for this is that no direct variation equation includes a vertical intercept.

Here 2y = 5x + 1 becoems y = (5/2)x + 1/2; the y-intercept 1/2 is problematic.

If we were to drop the constant 1, then 2y = 5x, or y = (5/2)x; this represents direct variation with the constant of proportionality 5/2.

8 0
3 years ago
Pretty please help me ❤️pleaaaase
never [62]

Answer:

Sue = 25.75

Dave = 29.5

Tom = 19.75

Sue = s

Tom = t

Dave = d

Step-by-step explanation:

s+t+d = 75

s-6=t

d +16 = s+t

d+16+d= 75

2d = 59

d = 29.5

t = s-6

t+s = 45.5

s-6+s= 45.5

2s = 51.5

s= 25.75

t= 19.75

5 0
3 years ago
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54 books make up 25% of the books in the library. How many books are there in the library.
Scrat [10]

25% is 1/4.

This means that 1/4 of the books in the library is 54, so just multiply 54 by 4, which gives you 100%, or all of the books. 54 times 4 is equal to 216, so there are 216 books in the library.

4 0
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jonny [76]
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7 0
3 years ago
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