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zhuklara [117]
2 years ago
10

Prove the identity with steps.

Mathematics
1 answer:
Sav [38]2 years ago
4 0
Remember that a double angle formula for cosine is
\cos(2x)=\cos^{2}x-\sin^{2}x

So
\cos^{2}(2x)-\sin^{2}(2x)=\cos(4x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos(2*2x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos^{2}(2x)-\sin^{2}(2x)
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24% of students buy there lunch, 190 students bring their lunch from home. How many students are there in total
miv72 [106K]

so we know that 24% of the students buy their lunch at the cafeteria, and 190 students brownbag.

well, 100% - 24% = 76%, so the remainder of the students, the one that is not part of the 24% is 76%, and we know that's 190 of them.

since 190 is 76%, how much is the 24%?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190&76\\ x&24 \end{array}\implies \cfrac{190}{x}=\cfrac{76}{24}\implies 4560=76x \\\\\\ \cfrac{4560}{76}=x\implies 60=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total amount of students}}{190+60\implies 250}

6 0
3 years ago
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The first side of a triangle is 7cm less than twice the second side. The third side is 4cm longer than the first side. The perim
Vinil7 [7]

Given:

First side(A): 2B - 7

Second side(B): B

Third side(C): B + 4

Plug in values:

A + B + C = 80

2B - 7 + B + B + 4 = 80

If you look at the coefficients only, you can rewrite the equation like this:

2B + B + B - 7 + 4 = 80

This means that 4B - 7 + 4 = 80

=4B - 3 = 80

= 4B = 80 + 3

B = 83/4, so you can either write B as 83/4 or as 20.75.

Checking your work:

A: 2(20.75) - 7 = 34.5

B: 20.75

C: 4 + 20.75 = 24.75

34.5 + 20.75 + 24.75 = 80cm.

Hope this helped.

3 0
2 years ago
I need friends so message me if you are 12 years old.
svet-max [94.6K]

Answer:

bet

Step-by-step explanation:

4 0
3 years ago
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A square has a perimeter of 40 m. What is the length of each side?
bekas [8.4K]

Answer:

10 m

Step-by-step explanation:

A square has all equal side lengths. If that is the case, the we have 4 sides that equal each other:

x + x + x + x = 40 m

4x = 40m

x = 10m

So each side is 10 m long.

7 0
3 years ago
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Kevin Durant is trying to break the single
finlep [7]

Answer: 41 more games.

Step-by-step explanation:

4030-2595 to find out how many points he needs to score.

1435

If he averages 35 per game lets divide 1435 by 35 to get the answer of 41.

6 0
2 years ago
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