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Elenna [48]
3 years ago
10

Find an angle in the normal range (0° to 360°, or 0 to 2pi radians) whose terminal side points in the same direction as the term

inal side of an angle measuring -312°
​

Mathematics
2 answers:
kondor19780726 [428]3 years ago
8 0

Answer:

a. 48°

Step-by-step explanation:

To get an angle between 0 and 360, just keep on adding/subtraction 360° to the given angle till you find an angle in the required interval

-312 + 360 = 48°

elena55 [62]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Our angle is -312 degrees, but because angles on the unit circle are always periodic and repeat every 2π or 360°, that means if we add a certain multiple of 360 to -312, we should get an angle with the terminal side pointing in the same direction.

Let's add 360 to -312:

-312 + 360 = 48°

Thus, the answer is A.

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Help me ):
slavikrds [6]
For the carpet:

Given:

Area = x^2 + x - 20 ft^2
Length = x+ 5 ft

As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:

         __x_-_4___x + 5|x^2 + x - 20         x^2 + 5x         --------          -4x - 20          -4x - 20             --------                    0

Therefore, the expression of width = x - 4.

Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:

Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.

Therefore, the carpet is 25ft x 16ft.

For the wall:

The same principles apply to the wall as it is also assumed to be rectangular.

Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2

To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:

         __x_+_15______x + 2|x^2 + 17x + 30         x^2 + 2x          --------                  15x + 30                  15x + 30                   ---------                             0

Therefore, the expression for the wall's length is x + 15.

Applying the value of x = 20 to obtain the wall's dimensions:

Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.

Therefore the wall has measurements of 35ft x 22ft.</span>
8 0
3 years ago
A system of equations can be written to represent coin and pricing problems. True or False.
soldier1979 [14.2K]
<span>The answer to this question is True. Apparently, there are a lot of mathematical problems regarding coin and pricing problems can be written with a system of equations.</span>
3 0
3 years ago
I worked for 12 hours each day for 6 days then the next day I worked 9 hours how many did I work in all
nikitadnepr [17]

Answer:

81

Step-by-step explanation:

12(6) + 9

72 + 9

81......

4 0
3 years ago
Read 2 more answers
At this rate, how many hours will it take Darin to mow 12 lawns?
Lerok [7]

Answer:

6

Step-by-step explanation:

:D You can trust me on this one! Did the iready lesson and got the answer correct.

3 0
3 years ago
X/6 + 2x/3 = 5 what is the value of x in the equation
ycow [4]

The value of x is 6 in the equation.

Step-by-step explanation:

Given equation is;

\frac{x}{6}+\frac{2x}{3}=5

Taking least common multiple

\frac{x+4x}{6}=5

Multiplying both sides by 6

6*\frac{5x}{6}=5*6\\5x=30

Dividing both sides by 5

\frac{5x}{5}=\frac{30}{5}\\x=6

The value of x is 6 in the equation.

Keywords: linear equation, fraction

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

5 0
3 years ago
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