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4 years ago

How would I answer this?

Mathematics

1 answer:

Reika [66]4 years ago

3 0

Answer:

C = 145.4°

By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.

Step-by-step explanation:

Linear pairs are found on a straight line, so they total to 180°.

C + D = 180 ......eq'n [1]

C is seven more than four times D can be represented with this equation:

C = 4D + 7 ........eq'n [2]

We can solve by substituting [2] into [1], replacing "C".

C + D = 180

4D + 7 + D = 180

Collect like terms

5D + 7 = 180

Subtract 7 from both sides

5D = 173

Divide both sides by 5

D = 173/5

As a decimal, D = 34.6°.

Using eq'n [2], find C. Substitute the value of "D". Solve.

C = 4D + 7

C = 4(173/5) + 7

C = (692/5) + 7

C = (692/5) + (35/5) Find a common denominator.

C = (692+35)/5 Combine into numerator.

C = 727/5

As a decimal, C = 145.4°.

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yanalaym [24]

Answer:

The answer is 1, -1

Step-by-step explanation:

Because I said so.

5 0

3 years ago

Read 2 more answers

Sarah bought pencils and markers for school. She bought 3 times as many pencils as markers.

Serhud [2]

Answer:

Sarah bought 30 pencils

Step-by-step explanation:

1. Let define p, as the number of pencils bought, and m, as the number of markers bought.

$0.15p+0.30m=7.50$

$p=3m$

3. Substitute p in the first equation to 3m since p=3m as defined.

$0.15(3m) + 0.30m=7.50\\0.45m+0.30m=7.50\\0.75m=7.50\\m=10$

plug m into equation p=3m to find the number of pencils bought

$p=3m=3(10)=30$

7 0

3 years ago

For our sample of student's measurements we expect that 68% of the values to fall within one σ (0.23mm) from our mean davg (21.0

7nadin3 [17]

Answer: 74.5% of the measurements fall within one standard deviation of the average.

Step-by-step explanation:

The total number of measurements given is 2 + 12 + 10 + 33 + 40 + 76 + 80 + 65 + 52 + 22 + 12 + 5 + 11 = 420

If the mean is 21 mm and one standard deviation is 0.23 mm, then one standard deviation from the mean would be

21 ± 0.23

The lower limit is 20.77 mm

The upper limit is 21 + 0.23 = 21.23 mm

The number of measurements that fall within this range are

20.8 × 40

20.9 × 76

21.0 × 80

21.1 × 65

21.2 × 52

The total number of measurements that fall within this range is

40 + 76 + 80 + 65 + 52 = 313

The percentage of the measurements that fall within one standard deviation of the average is

313/420 × 100 = 74.5%

8 0

3 years ago

If the perimeter of a square is 120f+80 inches, what is the length, in inches, of each side of the square?

Fittoniya [83]

Answer:

30f + 20

Step-by-step explanation:

A square has four sides, all of equal length. If we call that side length x, then the perimeter - the total length around the square - is 4x. To find the side length given the perimeter then, we can simply divide the perimeter by 4.

Our perimeter here is 120f + 80, and dividing each term by 4 gives us a side length of 30f + 20.

6 0

3 years ago

How do i find the radius? please help :(

Rus_ich [418]

Answer:

r = 40/π exact answer

r = 12.7 decimal approximation

Step-by-step explanation:

arc length formula

s = (∅/360) * 2πr

s = (∅/180) * πr

--------------------------------

Plug in the givens

10 = (45/180) * πr

10 = .25πr

Divide both sides by .25

40 = πr

divide both sides by π

40/π = r

r = 40/π exact answer

r = 40/3.14

r = 12.7 decimal approximation

8 0

3 years ago