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3 years ago

Help ASAP!!! Identify the correct trigonometry formula to use to solve for x.

Mathematics

2 answers:

cestrela7 [59]3 years ago

8 0

Answer:

The answer is option 2.

Step-by-step explanation:

You have to apply Cosine Rule, cosθ = adjacent/hypotenuse. Then, you have to substitute the values into the formula :

$cos(θ) = \frac{adj.}{hypo.}$

$let \: θ = 55$

$let \: adj. = 11$

$let \: hypo. = x$

$cos(55) = \frac{11}{x}$

Alex787 [66]3 years ago

4 0

Answer:

cos(55) = 11/x

Step-by-step explanation:

We have the hypotenuse (x) and an angle adjacent to 55 (11). The only trigonometric formula that uses adjacent and hypotenuse is cosine (adjacent/hypotenuse), so that will be your answer.

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A farmer plants 987 apple trees in 9 rows. Can each row have the same number of trees? How do you know?

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Answer:

No,

Step-by-step explanation:

each row can not have the same number of trees as the number 987 can not be evenly divided into 9 rows.

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3 years ago

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G(x) = 2x – 4<br> h(x)=x²-3<br> Find (g.h)(5)

Mariulka [41]

Answer:

Step-by-step explanation:

This is asking you to plug in the value of h(5) into g(x). First solve for h(5)

x^2-3 = h(x)

5^2-3= 22

h(5) = 22

h(5) is 22. So now, plug that into g(x).

g(h(5)) = 2(22)-4

44-4=40

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3 years ago

Shelia mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. How many

zimovet [89]

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3 years ago

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For a fair coin, suppose you toss the coin 100 times.

Natasha_Volkova [10]

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

$\mu = np = 100(0.5) = 50$ .

$\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5$

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{66.5 - 50}{5}$

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

More can be learned about the normal distribution at brainly.com/question/4079902

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2 years ago

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15 and 17 is the answer

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