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My name is Ann [436]
2 years ago
9

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=37°, and SQ = 56 feet. Find the length of QR to the nearest tenth of a foot

Mathematics
1 answer:
melisa1 [442]2 years ago
6 0

Answer:

  70.1 ft

Step-by-step explanation:

The cosine relation gives the ratio of the adjacent side to the hypotenuse for an acute angle in a right triangle:

  Cos = Adjacent/Hypotenuse

  cos(37°) = SQ/QR

Rearranging gives ...

  QR = SQ/cos(37°) = (56 ft)/0.798636 = 70.1 ft

The length of QR is about 70.1 ft.

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Answer:well i do know what exaclty what you were reading so i have no clue add a coment about it ill read then answer :)

Step-by-step explanation:


5 0
3 years ago
Can someone give me the answers plz:)
Alborosie

Remark

There is no short way to do this problem and no obvious way to get the answer other that to solve each part.  

Solve

A

\dfrac{x + 1.6}{2} =\text{x + 0.1}                    Multiply by 2

x + 1.6 = 2(x + 0.1)                                         Remove the brackets

x + 1.6 = 2x + 0.1*2                                        

x + 1.6 = 2x + 0.2                                          Subtract x from both sides

1.6 = x + 0.2                                                  Subtract 0.2 from both sides  

1.6 - 0.2 = x                        

1.4 = x

Circle A

B

Subtract 2x from both sides.

3x - 2x = 1.4

Circle B

C

Remove the brackets.

4x + 6 = 2x - 6           Add 6 to both sides

4x + 12 = 2x               Subtract 4x from both sides.

12 = -2x                      Divide by - 2

12/-2 = x

x = - 6                         Don't circle C

D

I'm going to be very scant in my solution of this. You can fill in the steps.

3x = 4.2

x = 4.2/3

x = 1.4

Circle D

5 0
4 years ago
Read 2 more answers
A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many
Pani-rosa [81]

780 students prefer chocolate milk.

Step-by-step explanation:

Let,

the total percentage = 100%

Students who prefer plain white milk = 35%

Students who prefer chocolate milk = 100 - 35 = 65%

Number of students = 1200

No. of students who prefer chocolate milk = 65% of total students

No. of students who prefer chocolate milk = \frac{65}{100}*1200

No. of students who prefer chocolate milk = \frac{78000}{100}\\

No. of students who prefer chocolate milk = 780

780 students prefer chocolate milk.

Keywords: percentage, subtraction

Learn more about subtraction at:

  • brainly.com/question/11253316
  • brainly.com/question/11258952

#LearnwithBrainly

4 0
3 years ago
The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)
Bas_tet [7]

Answer:

The expression is 20 - 50/5

Step-by-step explanation:

First we have the quotient of 50 and 5.

This is written as:

50/5

And we know that this is equal to 10, but let's leave it as 50/5 for now.

Now we subtract this FROM 20, then we have the number 20, and we subtract 50/5 from it, this is written as:

20 - 50/5

Now we can also solve this:

20 - 50/5 = 20 - 10 = 10

3 0
3 years ago
3900 workers in 3 buildings. twice as many work in largest building as the smallest of the 3 . there are 500 more workers in the
Svetllana [295]
<h3><u>Question:</u></h3>

There are 3900 workers in the three main buildings downtown. Twice as many people work in the largest building as in the smallest of the three. There are 500 more workers in the second-largest building than in the smallest building. How many workers are in each building?

<h3><u>Answer:</u></h3>

There are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building

<h3><u>Solution:</u></h3>

Let "b" be the number of workers in smallest building

Given that Twice as many people work in the largest building as in the smallest of the three

number of workers in largest building = 2b

Given that There are 500 more workers in the second-largest building than in the smallest building

Number of workers in second largest building = 500 + b

Given that there are 3900 workers in 3 buildings

b + 2b + 500 + b = 3900

4b + 500 = 3900

4b = 3900 - 500

4b = 3400

b = 850

Thus there are 850 workers in smallest building

workers in largest building = 2b = 2(850) = 1700

workers in second largest building = 500 + b = 500 + 850 = 1350

Thus there are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building

6 0
3 years ago
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