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3 years ago

Elapsed time was 9 hours and 45 min that ended at 6:00 what was the starting time

Mathematics

2 answers:

LiRa [457]3 years ago

6 0

8:15 is the answer assuming the clock is at PM.

Mila [183]3 years ago

3 0

The answer is 9:15 because if you go ahead and subtract the 6 hours from 9 hours you only have 3 hours left. So 12, 11, 10. Now you have to take 45 minutes from 10:00 so that's 9:15

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area

Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

$3:2$

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

$C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle$

If we define:

$C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2$

Then, the ratio of the circumference of two circles is 3:2 is:

$\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}$

The area of a circle is given by:

$A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius$

So the ratio of their area can be found as:

$\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2$

So:

$\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}$

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

5 0

3 years ago

Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was

olga_2 [115]

2.50.....................................

4 0

3 years ago

Read 2 more answers

Put these numbers from least to greatest. I'm too lazy to do it. it's for trigonometry.

blagie [28]

Answer:

15, 20, 25, 40, 50, 55, 65, 70, 75, 80, 85, 95

Hope this was all the numbers.

8 0

2 years ago

Read 2 more answers

According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

2 years ago

If an angle measures between 90 and 180, how is it classified

sukhopar [10]

The name of the angle is obtuse

5 0

3 years ago