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2 years ago

Given the triangle below, Which of the following equations correctly represents the relationship between a,b and c

Mathematics

2 answers:

Dennis_Churaev [7]2 years ago

7 0

Answer:

Option D is correct.

Step-by-step explanation:

We are given with a right angled triangle.

Measurement of sides of triangle are a , b , c

and measure of ∠C is 90°

We know that we have a relationship between sides and an angle opposite to a side.

This relation is given by LAW OF COSINES.

In given triangle and using law of cosines, we have

b² = a² + c² - 2ac cos B

a² = b² + c² - 2cb cos A

c² = a² + b² - 2ab cos C ⇒ c² = a² + b² - 2ab cos(90°)

Therefore, Option D is correct.

nekit [7.7K]2 years ago

3 0

The correct answer I believe is D

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A square tile has an area of 324 square inches. what is the perimeter of the square tile in inches?

kotykmax [81]

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a - side

We have: $A=324\ in^2$

substitute:

$a^2=324\to a=\sqrt{324} \to a=18\ in$

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substitute:

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2 years ago

Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence

Alchen [17]

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

The margin of error is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In this problem, we have that the parameters are given as follows:

$M = 3, z = 1.645, \sigma = 16$ .

Hence, solving for n, we find the sample size.

$M = z\frac{\sigma}{\sqrt{n}}$

$3 = 1.645\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 1.645 \times 16$

$\sqrt{n} = \frac{1.645 \times 16}{3}$

$(\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2$

$n = 76.97$

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at brainly.com/question/25890103

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1 year ago

one third of the people at a banquet ordered ice cream for dessert. the rest ordered pie. one forth of those requesting pie orde

Vaselesa [24]

Answer:

30 people ordered apple pie

Step-by-step explanation:

one third of the total people:

180/3 = 60

subtract the people who ordered ice cream, so that we have the total people who ordered pie:

180-60= 120

divide the total people by 4 to find the people who ordered apple pie

120/4 = 30

30 people ordered apple pie

6 0

2 years ago

PLEASE HELP!!<br> 7. Are the two triangles similar? How do you know?

aleksandr82 [10.1K]

Answer:

yes

Step-by-step explanation:

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2 years ago

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denpristay [2]

Answer:

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Step-by-step explanation:

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2 years ago