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hram777 [196]
3 years ago
13

Find the value of x. 76° PLEASE HELP ASAP!!!

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer: 14°

Step-by-step explanation:

Given that the triangle you have is a right triangle, we know that all of it's angles must add up to 180°. Therefore, this problem is as simple as setting up a small algebra expression.

76°+90°+x=180°

166°+X=180°

-166°     -166°

x = 14°

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Convert 500 cubic feet to liters then to gallons
V125BC [204]

Answer:

500 cubic feet equals 14158.4 liters or 3740.25 gallons.

Step-by-step explanation:

We are asked to convert 500 cubic feet to liters then to gallons.

We know that one cubic feet equals 28.3168 liters.

\text{500 cubic feet to liters}=\text{500 cubic feet}\times \frac{\text{28.3168 liters}}{\text{cubic feet}}

\text{500 cubic feet to liters}=500\times \text{28.3168 liters}

\text{500 cubic feet to liters}=\text{14158.4 liters}

We know one liter equals 0.264172 gallons.

\text{14158.4 liters to gallons}=\text{14158.4 liters}\times\frac{0.264172\text{ gallons}}{\text{liter}}

\text{14158.4 liters to gallons}=14158.4 \times 0.264172\text{ gallons}

\text{14158.4 liters to gallons}=3740.2528448\text{ gallons}

\text{14158.4 liters to gallons}\approx 3740.25\text{ gallons}

Therefore, 500 cubic feet equals 14158.4 liters or 3740.25 gallons.

5 0
3 years ago
Which sample fairly represents the population? Check all that apply. measuring the heights of every fiftieth person on the schoo
LenKa [72]
A sample is a small subset of a population, on which startistical analysis is carried out to obtain the characteristics of the population.

Sampling is the process of selecting units (e.g., people, organizations) from a population of interest to obtain the characteristics of the population.

When drawing a sample, it is important that all the components of the population of interest is adequately represented.

Thefollowing samples are categorised based on whether they fairly represent the population of interest or not.

1.) M<span>easuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school.

Here, the population of interest is the boys in the school. Drawing a sample of every fiftieth person on the school roster will contain both boys and girls whereas girls are not needed for the purpose of the survey.

Threfore, the sample does not represent fairly the population of interest.

2.) C</span><span>alling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment.

Here, the population of interest is the team members, so drawing a sample of every third person on the soccer team's roster represents fairly the population of interest.

3.) </span>O<span>bserving every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.

Here the population of interest is people who wear glasses, though observing people walking down the road might be a good way to drawing this sample, but the sample will be biased because by 5 pm, the sum will be down and the people who wear glasses because of the sun might not have their glasses on again.

So this sample does not fairly represent the population of interest.

4.) </span>Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town.

Here, the population of interest is the residents of the town and not all residents of the town might be a parent.

So, the sample of one-hundredth parent in the school district does not fairly represent the population of interest.

5.) T<span>aking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Here, the population of interest is the students and taking a poll in the lunch room (where all students currently have to eat lunch) fairly represent the population of interest.


Therefore, the samples that fairly represent the population are:
</span>
<span>C<span>alling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment.
and
</span></span>T<span>aking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.</span>
6 0
3 years ago
The chart below shows the number of students in each grade who are members of the spirit club at Lone Star Middle School.
irina1246 [14]

Answer:

The Answer Is 6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which expression best represents the value of pi? <br> A. 22/ 14 C. 14 /22<br> B. 7 /22 D. 22/ 7
lisov135 [29]

Answer:

D) 22/7

Step-by-step explanation:

22/7 = 3.14

6 0
3 years ago
Stephanie is earning simple interest of 3.5% on her money each month. She currently has $1325 in her account. What will her bala
siniylev [52]

Answer:

$1556.88

Step-by-step explanation:

<em>Since Stephanie is earning </em><u><em>simple interest</em></u><em> and not compound interest, we can multiply her interest rate for each month by how many months we are calculating for.</em>

0.035 x 5 = 0.175

<em>Then multiply that by her current balance but change the </em><em>0</em><em> in front of the </em><em>0.175</em><em> to a </em><em>1</em><em> to reduce the number of steps we have to take. (It automatically adds what is earned in interest to her current balance.)</em>

1.175 x 1325 = 1556.875

7 0
3 years ago
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