All categories

2 years ago

The circumference of a circle is 43.96 kilometers. What is the circle's diameter?

Advanced Placement (AP)

1 answer:

Oxana [17]2 years ago

4 0

13.99 kilometers is the diameter.

Divide the circumference (43.96) by 2(pi), which should give you a radius of 6.99. You should then proceed to multiplying that by 2, since radius is half of the diameter, giving you 13.99.

You might be interested in

Taking a position on the French Revolution was difficult for Washington because:

Viktor [21]

Answer:

D. the president's role in foreign policy had not yet been specifically defined.

Explanation:

The Constitution does not explicitly state that the President has sole authority over foreign policy, and so at this point in history it was still unclear exactly how much power the President actually had in regards to international affairs. Washington didn't want to take a position on such a contentious issue without knowing for sure that he could back up his stance with actual authority.

3 0

8 months ago

What does dispersion mean

mixer [17]

The action or process of distributing things or people over a wide area

4 0

2 years ago

Read 2 more answers

1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The

Arlecino [84]

Hi there!

To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

$\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt$

Evaluate using a calculator:

$= 899.97 \approx \boxed{900\text{ people}}$

To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.

In other terms:
$\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt$

We can evaluate using a calculator (math-9 on T1-84):

$\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt$

$= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}$

If:
$P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt$

Then:

$\frac{dP}{dt} = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt = S(t) - R(t)$

Evaluate at t = 20:

$S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669$

$S(20) - R(20) = 87.844 - 108.669 = -20.823$

This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.

To find the maximum, we must use the first-derivative test.

Set S(t) - R(t) equal to 0:

$80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 0$

Graph the function with a graphing calculator and set the function equal to y = 0:

According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.

<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>

8 0

1 year ago

A worker is using a soft wire brush attached to an electric drill to clean a storage battery. What is wrong with this method? A.

MA_775_DIABLO [31]

Answer:

The correct answer is letter "B": The wire brush can remove too much material from the posts of the battery.

Explanation:

While cleaning a battery there are several considerations to be taken in order not to damage its function. At the moment of cleaning the posts, we must be very careful since this is the principal contact with the vehicle cables. In front of any damage, the vehicle may not even start.

Thus, using a soft wire brush with an electric drill is not appropriate since it could remove more material than the necessary from the posts.

4 0

3 years ago

Solve for p 6|–3p − 2| − 4 = –4

kifflom [539]

Answer:

Explanation:

there is on online calculator that solves equations and shows the steps.

6 0

3 years ago

Read 2 more answers