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Ugo [173]
3 years ago
13

5. There are 29 students available to represent the upperclassmen at a fair.

Mathematics
2 answers:
Stels [109]3 years ago
7 0

Answer:

senior and junior? that would be a perfect 100%, 29/29

Step-by-step explanation:

Unless I'm incorrect, this question states the probability of <u>BOTH</u> a senior <u>AND</u> junior being chosen, which would be 100% or again, 29/29

USPshnik [31]3 years ago
5 0

<u>Answer:</u>

The probability that a senior will be chosen is 55.2% or 16/29. And The probability a Junior will be chosen is 44.8% or 13/29.

<u>Explanation:</u>

Since the total students are 29. I put the 29 as the denominator and converted these fractions into percentages to find my answer.

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Rewrite with only sin x and cos x.
Annette [7]

Option A

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

\cos (a+b)=\cos a \cos b-\sin a \sin b

Therefore,

\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x  ---- eqn 1

We know that,

\sin 2 x=2 \sin x \cos x

\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

We know that,

\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)

\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}

\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x

Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

7 0
3 years ago
Jasmon spent half of her weekly
Step2247 [10]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
best answer will be awarded the brainliest and 5 stars please evaluate 6/2 and remember to show your work
Svet_ta [14]
6/2 is the number 6 being divided in half by 2; to figure this out just count your 2 table factors! Shown work:

2 x 2 = 4
2 x 3 = 6!

So 6 divided by 2 (6/2) is just the oppoposite of 2 x 3 = 6
8 0
4 years ago
PLEASE HELP!!! I am struggling
cestrela7 [59]

The ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.

<u>Explanation:</u>

We need to find the time at which the ball will be at height 19 feet.

Equation:

h = 3 + 34t - 16t²

19 = 3 + 34t - 16t²

16 = -16t² + 34t

-16t² + 34t - 16 = 0

On solving the equation, we get

t1 = 0.7 s and t2 = 1.42s

Therefore, the ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.

4 0
4 years ago
Select all of the angles that have a positive measure
lina2011 [118]

Answer:

Just the second one is correct

3 0
3 years ago
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