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Evgen [1.6K]
2 years ago
14

What is the value of x? What is the measure of angle QOR? What is the measure of angle ROS?

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
4 0

Answer:

x = 26

angle QOR = 31

angle ROS = 59

Step-by-step explanation:

(x + 5) + (2x + 7)  = 90\\ 2x + x + 5 + 7  = 90 \\ 3x + 12  = 90 \\ 3x  = 90 - 12 \\ 3x = 78 \\ x = 78 \div 3 \\ x = 26

Sub x in

(x + 5) \\ 26 + 5 = 31

and

(2 \times 26 + 7) \\  = 52 + 7 \\  = 59

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I need to find sec(theta)= 2(sqrt3)/3
Sloan [31]

Answer: 30° and 330°

<u>Step-by-step explanation:</u>

sec θ = \frac{2\sqrt{3}}{3}

sec θ = \frac{1}{cos(\theta)}

\frac{1}{cos(\theta)} = \frac{2\sqrt{3}}{3}

cos θ = \frac{3}{2\sqrt{3}}

cos θ = \frac{3}{2\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})

cos θ = \frac{3\sqrt{3}}{3*2}

cos θ = \frac{\sqrt{3}}{2}

Look at the Unit Circle to see that cos = \frac{\sqrt{3}}{2} at 30° and 330°  ( which is equivalent to π/6 and 11π/6)


4 0
3 years ago
Read 2 more answers
When using re-grouping to solve 21 x 43, what are the four products that would be calculated and then added?
pshichka [43]

Answer:

c

Step-by-step explanation:

21×43

=(20+1)×(40+3)

=800+40+60+3

3 0
3 years ago
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Madison likes to go to her local hair salon because she is a premier member there. Her membership fee costs $80.00 and that memb
OlgaM077 [116]

By evaluating a linear equation, we can complete the table:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

<h3>How to fill the table?</h3>

We know that her membership fee costs $80.00, and it allows her to get her hair done for $26.00 for each visit, so if she does x visits, then the total cost for these x visits (including the membership fee) is:

c(x) = $80.00 + $26.00*x

So we have a linear equation that models the total cost.

Evaluating the equation in the values of the table we will get the other values.

c(2) = $80 + $26*2 = $132

c(4) = $80 + $26*4 = $184

c(5) = $80 + $26*5 = $210

c(8) = $80 + $26*8 = $288

Then the complete table is:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
If I plan to run 400 yards and I have completed 80%, how many yards do I have left?
Dimas [21]

Answer:

You have 80 yards left to run.

Step-by-step explanation:

To solve this problem, we first must realize that if you have completed 80% of the run, that you have 20% left (this is because 100%-80% = 20%).  

Next, we must find 20% of 400 yards.  We must remember that in math, the word "of" represents multiplication.  We also know that 20% = 20/100 = 0.2.

To find 20% of 400 yards, we can perform the following operation:

20% * 400

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Therefore, you have 80 yards left.

Hope this helps!

7 0
3 years ago
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WINSTONCH [101]

Answer:

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x + y

Step-by-step explanation:

(think about it with a horizontal line between the two numbers)

When using fractions and whole numbers turn the whole numbers into fractions like ---> 3/1

and if their like 3 5/6 (for example) you would multiply the denominator by the whole number ---> 3*6=18 then add what's on the numerator with it. so 18+5=23 which would make it 23/6

Just some tips for making it easier!

Hope it helps! :)

4 0
3 years ago
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