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barxatty [35]
2 years ago
11

Select all the correct answers.

Mathematics
2 answers:
astra-53 [7]2 years ago
6 0

The statement(s) that are true is that the measure of the reference angle is 45°.

<h3>What is the conversion of radians to degrees?</h3>

The conversion of an angle in radian to a degree can be determined by the multiplication of the given angle in radian by 180/π.

From the given information:

\mathbf{\theta = \dfrac{7 \pi}{4}}

To degrees, we have:

\mathbf{\theta = \dfrac{7 \pi}{4} \times \dfrac{180}{\pi}}

\mathbf{\theta =315^0}

A reference angle is an angle that measures the remaining distance (called the terminal distance) to the x-axis.

315° is in the 4th quadrant, i.e.

= 360° - 315°

= 45°

Therefore, the statement(s) that is true is:

  • The measure of the reference angle is 45°.

Learn more about the conversion of radians to degrees here:

brainly.com/question/12939121

#SPJ1

Alexandra [31]2 years ago
6 0

Answer:

sin(0)=-√2/2

tan(0) = -1

The measure of the reference angle is 45°

Step-by-step explanation:

I took the test

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Christen sells boxes of cookies for $4 each. Rafael sells boxes of cookies for $7 each. Each of them sold the same dollar amount
KATRIN_1 [288]

Answer:

28$ and christen sold 7 boxes while Rafael sold 4

Step-by-step explanation:

lower common multiple so take 4 x 7 = 28 as then take the 28 and divide by how much Christen gets a box which is 4 and 28 divided by 4 is 7

3 0
3 years ago
Read 2 more answers
An employer uses the linear regression equation y = 0.18 x + 320.22 to predict the weekly salary, y, of an employee who sells x
Nata [24]

Answer:

Option C is correct.

Alex earned about $60 more than Joaquin did.

Step-by-step explanation:

The linear regression equation

y = 0.18 x + 320.22

is used to predict the weekly salary, y, of an employee who sells x dollars worth of merchandise.

Joaquin sold $1500 worth of goods. Meaning that x for that week for Joaquin is 1500.

Joaquin' s salary for that week is then given as

y = 0.18x + 320.22

y = 0.18(1500) + 320.22 = 590.22

Hence, Joaquin's salary for that week = $590.22

Alex earns $650 that week. Meaning that y for Alex in that week = 650

y = 0.18x + 320.22

650 = 0.18x + 320.22

0.18x = 650 - 320.22 = 329.78

x = (329.78/0.18) = 1832.1

Hence, Alex sold goods worth $1832.1 that week.

Joaquin sold goods worth $1500

Joaquin earned $590.22

Alex sold goods worth $1832.1

Alex earned $650

From this calculation, it is evident that 'Alex earned about $60 more than Joaquin did' is the correct option as $650 is about $60 more than $590.22

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
The sum of two numbers is 33.the larger number is 3 more than two times the smaller number.what are the numbers?
e-lub [12.9K]

Answer: The numbers are 10 and 23

Step-by-step explanation:

Let the smaller number be x

And the larger number be y

Ist sentence;

1. The sum of two numbers is 33.

X + y= 33 .........eqn 1

2. second sentence

the larger number is 3 more than two times the smaller number.

Y = 3 +2x

Put y into eqn 1

X+ 3 +2x = 33

3x= 33- 3

3x= 30

X = 30/3

X= 10 and y= 3+ 2x

Y= 3+ 2(10)

Y = 3+ 20

Y= 23

Therefore the two numbers are 10 and 23

8 0
3 years ago
Use the quadratic formula to solve for the roots of the following equation.<br> x 2 – 4x + 13 = 0
Artyom0805 [142]
  • Quadratic Formula: x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} , with a = x^2 coefficient, b = x coefficient, and c = constant

With our equation, plug in the values:

x=\frac{4\pm \sqrt{(-4)^2-4*1*13}}{2*1}

Next, solve the exponent and multiplications:

x=\frac{4\pm \sqrt{16-52}}{2}

Next, solve the subtraction:

x=\frac{4\pm \sqrt{-36}}{2}

Next, factor out i (i = √-1):

x=\frac{4\pm \sqrt{36}i}{2}

Next, solve the square root:

x=\frac{4\pm 6i}{2}

Lastly, divide and <u>your answer is:</u>

x=2\pm 3i

5 0
3 years ago
Read 2 more answers
If it takes 6.9 pounds of seed to plant one acre of grass , how many acres can be planted with 8.28 pounds of seeds
Vaselesa [24]
There's 1.2 times as much seed, so you can plant 1.2 times more land.

1.2x1=1.2

So you can only plant 1.2 acres.
6 0
3 years ago
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