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andrew11 [14]
2 years ago
8

What is the measure of Zc​

Mathematics
1 answer:
maks197457 [2]2 years ago
3 0

Answer: 56 degrees

Step-by-step explanation:

We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).

124 and c are supplementary angles. We can represent this in an equation to solve for c:

124 + c = 180\\\\c = 56

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I need to get the left side to equal the right side. Keeping the right side alone and not changing it.
likoan [24]

<u>To prove the trigonometric equation:</u>

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

RHS=(\sin x+\cos x)(1-\sin x \cos x)

We know that \sin^2x +\cos^2x=1, substitute this in place of 1.

       =(\sin x+\cos x)(\sin^2x +\cos^2x-\sin x \cos x)

Multiply each term of the first term with each term of the 2nd term.

       =\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x

Group like terms together.

       =\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x

       =\sin^3x +( 0)+(0) + \cos^3 x

       =\sin^3x + \cos^3 x

       = LHS

RHS = LHS

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

Hence proved.

7 0
3 years ago
Plss help for points and brainliest
olganol [36]
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4 0
3 years ago
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1943 divided by 67.Show steps please. ​
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Answer: Long Division Calculator with Decimals

look this up see if it helps

Step-by-step explanation:

8 0
2 years ago
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Mike went to a football game with his family. They bought 5 boxes of popcorn and 3 programs, and spent $41. Sean's family went t
slamgirl [31]
EZ!

Let's say each box costs $X and each program costs $Y
Thus, Mike's family spent:
$(5X+3Y)
or
$41

Sean's family spent
$(3X+2Y)
or
$26

This yields us a system of two equations:
5x+3y=41
3x+2y=26

<span>5x+3y=41
</span>2y=26-3x

<span>5x+3y=41
</span><span>y=13-1.5x
</span>
5x+3(13-1.5x)=41
y=13-1.5x

5x+39-4.5x=41
<span>y=13-1.5x
</span>
0.5x+39=41
<span>y=13-1.5x
</span>
0.5x=2
<span>y=13-1.5x
</span>
x=4
<span>y=13-1.5x
</span>
x=4
<span>y=7
</span>
Each box costs $4 and each program costs $7
8 0
3 years ago
What is the value of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B81%7D%20" id="TexFormula1" title=" \sqrt{81} " alt=" \sq
vovangra [49]
9

9x9= 81 hope this helps
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