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Alinara [238K]
3 years ago
8

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?​
alexira [117]

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.

6 0
3 years ago
Read 2 more answers
G(x) = 2x – 4<br> h(x)=x²-3<br> Find (g.h)(5)
Mariulka [41]

Answer:

40

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

(g.h)(5) is 40.

4 0
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]
Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)
6 0
3 years ago
Read 2 more answers
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

#SPJ1

6 0
2 years ago
The sum of two consecutive odd integers is 32 what are the two integers
padilas [110]
15 and 17 is the answer
6 0
3 years ago
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