PLZ HELP ASAP: due at 11:59 tonight!!

JUST HELP ME! PLEASE!!..0o0<br><br>Applying the Pythagorean theorem, solve this triangle.

Inessa [10]

<h3>Answer: <u>100 ft</u> is the hypotenuse</h3>

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Work Shown:

a = 60 and b = 80 are the two known sides

c is the unknown hypotenuse

Applying the pythagorean theorem gets us...

a^2 + b^2 = c^2

60^2 + 80^2 = c^2

3600 + 6400 = c^2

10,000 = c^2

c^2 = 10,000

c = sqrt(10,000)

c = 100

A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.

Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.

4 0

3 years ago

Read 2 more answers

Good afternoon can anyone tell me the answer

frozen [14]

(a,1)(a,2)(a,3)(a,4)(b,1)(b,2)(b,3)(b,4)

7 0

3 years ago

Which of the following is an example of discrete data?

Anton [14]

Answer:

this is right

Step-by-step explanation:

i just took the test and it was B!

6 0

3 years ago

A) In 2000, the population of a country was approximately 5.82 million and by 2040 it is projected to grow to 9 million. Use the

mezya [45]

Answer:

By 2086

Step-by-step explanation:

The provided equation is:

$A=A0*e^{k*t}$ , where:

A=total of population after t years

A0=initial population

k= rate of growth

t= time in years

Given information:

The final population will be 15 million, then A=15.

We start in 2000 with a 5.82 million population, then A0=5.82.

Missing information:

Although k is not given, we can calculate k by using the following statement, from 2000 to 2040 (within 40 years) population is proyected to grow to 9 million, which means a passage from 5.8 to 9 million (3.2 million increament).

Then we can use the same expression to calculate k:

$A=A0*e^{k*t}$

$9=5.8*e^{40*k}$

$ln(9/5.8)/40=k$

$0.010984166494596147=k$

$0.011=k$

Now that we have k=0.011, we can find the time (t) by which population will be 15 million:

$A=A0*e^{k*t}$

$15=5.8*e^{0.011t}$

$ln(15/5.8)/0.011=t$

$86.38111668634878=t$

$86.38=t$

Because the starting year is 2000, and we need 86.38 years for increasing the population from 5.8 to 15 million, then by 2086 the population will be 15 million.

4 0

4 years ago

Choose the correct answer below. A. Increasing the level of confidence has no effect on the interval. B. Increasing the level of

murzikaleks [220]

Answer:

$ME = t_{\alpha/2} \frac{s}{\sqrt{n}}$

And the width for the confidence interval is given by:

$Width =2ME=2t_{\alpha/2} \frac{s}{\sqrt{n}}$

And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval $t_{\alpha/2}$ would be higher and then the width of the interval would increase. So then the best answer for this case would be:

B. Increasing the level of confidence widens the interval.

Step-by-step explanation:

Let's assume that we have a parameter of interest $\mu$ who represent for example the true mean for a population. And we can construct a confidence interval in order to estimate this parameter if we know the distribution for the statistic let's say $\bar X$ and for this particular example the confidence interval is given by:

$\bar X \pm ME$

Where ME represent the margin of error for the estimation and this margin of error is given by:

$ME = t_{\alpha/2} \frac{s}{\sqrt{n}}$

And the width for the confidence interval is given by:

$Width =2ME=2t_{\alpha/2} \frac{s}{\sqrt{n}}$

And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval $t_{\alpha/2}$ would be higher and then the width of the interval would increase. So then the best answer for this case would be:

B. Increasing the level of confidence widens the interval.

3 0

3 years ago