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4 years ago

Find the height H of the flagpole

Mathematics

1 answer:

Elenna [48]4 years ago

7 0

Answer:

B 15 ft

Step-by-step explanation:

The length of the left side of the triangle is 6/8 = 3/4 of the length of the base. For shadows in the same general area, the ratio of height to shadow length is the same for all objects. So, we can assume that ...

h = (3/4)(20 ft) = 15 ft

_____

You can eliminate the other answer choices using your "common sense." The triangles have sides of different measure, and the one corresponding is shorter than the bottom side. Hence 20 and 26.67 make no sense. We also note that the missing side will be more than half the length of the bottom side, so 2.4 makes no sense.

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A runner finished a total of 1,500 kilometers in races before retiring . She finished thirty-two 15-kilometer races . The rest o

Sindrei [870]

Answer:

32*15 = 480

1500-480 = 1020

1020/10

102 races

Step-by-step explanation:

5 0

3 years ago

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 . A dotplot s

Ilya [14]

Answer:

The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, $\bar x=36800$ σ = 5000

degrees of freedom = n-1 = 12-1 = 11

$H_0: \mu = 33700\ and\ H_a: \mu \neq 33700$

Formula to find the value of z is: $z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

Where $\bar x$ is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

$z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}$

$z=2.148$

Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

6 0

3 years ago

Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca

VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

Max earned a total of $162 working at two jobs
He worked 6 hours at his grandfather's store
He worked 10 hours at the local movie theater
g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local movie theater

∴ He earned from the local movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

6 0

3 years ago

If the temperature choose 1: (increases or decreases), then the particles will move choose 1: (faster or slower). WILL GIVE BRAI

vfiekz [6]

Answer:

The temperature increases and the particles will move faster.

Step-by-step explanation:

I'm pretty sure this is right :D

I hope this helps!

5 0

3 years ago

Read 2 more answers

Can Someone Please Help ASAP! F(x) = -2 (-3+3) +1

lisov135 [29]

Answer: Your question is written f(x) = -2*(-3+3)+1. I'll assume you need the answer for just the one value of x (-3)? If so, f(-3) = 1.

Step-by-step explanation:

f(x) = -2*(-3+3)+1

f(x) = -2*(0)+1

f(x) = 1

Other values x for the equation f(x) = -2*(x+3)+1:

-2 is -1

1 is -7

3 is -11

3 0

3 years ago