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3 years ago

How are equations and inequalities the same and how are they different

Mathematics

2 answers:

xenn [34]3 years ago

6 0

Answer:

i know right

Step-by-step explanation:

boting jeese

NARA [144]3 years ago

3 0

When you do both you have to find a answer

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The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypo

soldi70 [24.7K]

Answer:

$\sqrt{549}$ ≈ 23.4

Step-by-step explanation:

A = bh

270 = 15b

b = 18

Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse: a² + b² = c²

15² + 18² = c²

225 + 324 = c²

c² = 549

c = √549

8 0

3 years ago

Read 2 more answers

87/100 in simplest form

Paladinen [302]

The fraction Is already in its simplest form :)

They do not have any common factors

6 0

3 years ago

The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

3 0

3 years ago

16(4 1/4) distrubuted

ss7ja [257]

Answer:

Step-by-step explanation:

Step 1: Convert fraction to improper

4 1/4 = 16/4 + 1/4 = 17/4

Step 2: Multiply 16 and 17/4

16(17/4) = 272/4 = 68

8 0

3 years ago

The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses.

Luden [163]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

If we had increased the confidence level, the margin of error also would have increased.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96. Increasing the confidence level, z also increases, hence the margin of error also would have increased.

The sample size and the estimate are given as follows:

$n = 450, \pi = 0.47$ .

The lower and the upper bound of the interval are given, respectively, by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 - 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.4239$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 + 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.5161$

The 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

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

#SPJ1

5 0

1 year ago