MATHEMATICS HIGH SCHOOL

Write the expression as the sine, cosine, or tangent of an angle. sin 57° cos 13° - cos 57° sin 13°
Select one:
a. cos 70°
b. cos 44°
c. sin 44°
d. sin 70°

Answers

Answer 1
Answer:

Answer:  The correct option is (c) sin 44°.

Step-by-step explanation:  We are given to write the following expression as the sine, cosine or tangent of an angle :

T=\sin 57^\circ\cos13^\circ-\cos57^\circ\sin13^\circ.

We will be using the following trigonometric formula :

\sin (A+B)=\sin A\cos B-\cos A\sin B.

Therefore, we get

T\n\n=\sin 57^\circ\cos13^\circ-\cos57^\circ\sin13^\circ\n\n=\sin(57^\circ-13^\circ)\n\n=\sin 44^\circ.

Thus, the required expression can be written in sine of an angle of measure 44°.

Option (c) is CORRECT.
Answer 2
Answer: Use this formula: sin (x-y) = sinx cosy - cosx siny

sin57 cos13 - cos57 sin13 = sin (57 -13) = sin (44)

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At the end of one day, the value of a share of a certain stock was $12. Over the next three days, the change in the value of the share was $-1, then, $-1, and then $3. Write an expression that descrines the situation.

Answers

12-13=-1+4(after 2 days)=3

Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He asked 500 students at his school the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below.

                                                   Spanish Club         Not in Spanish       ClubTotal

Received Spanish class requested  265                              100                365
Did not get Spanish class requested  70                               65                  135

Total                                                 335                              165                  500

Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested. Show your work and explain your process for determining the fairness of the class assignment process.

Answers

1.       Josh requested for a Spanish club then asked his students how many got the Spanish class and how many did not.
So he asked 500 students for the questions:
The result was
=> got the Spanish class = 265 100 365
=> did not = 70 65 135
=> The total was 335 165 500
Thus, this show that only 335 students were able to get the Spanish class they requested and there are still 165 students do not received any Spanish class.
Thus, this is not fair to the other students.
 



Answer:

We have the given the data of 500 students and it is required to see whether every student got an equal opportunity to get the Spanish class they requested.

Now, we have,

Number of students in the Spanish class who got the class they requested = 265

Number of students not in the Spanish class that got the class they requested = 100

Total number of students in Spanish class = 335

Total number of students not in Spanish class = 165

Therefore, we get that,

Probability of students in the Spanish class who got the class they requested = (265)/(335) = 0.791

Probability of students not in the Spanish class who got the class they requested = (100)/(165) = 0.606

This shows that all students do not get the equal chance of getting into the Spanish class they requested.

Solve the system of equations graphed on the coordinate axes below.�
=
y=
 
 
−
2
3
�
+
4
−
3
2
​
x+4
�
=
y=
 
 
1
2
�
+
4
2
1
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x+4

Answers

The solution to the system of equations y = -2x + 4 and y = 1/2x + 4 is the point (0, 4)

Calculating the solution to the system

A system of equations is a set of two or more equations that are to be solved simultaneously.

The solution of a system of equations is a set of values that satisfy all the equations in the system.

Given the equations:

y = -2x + 4

y = 1/2x + 4

The question implies that we solve graphically

So, we create a plot of the equations y = -2x + 4 and y = 1/2x + 4

And we write out the coordinate of the point of intersection between the two equations

From the graph of the system of equations (see attachment), we have the point of intersection to be (0, 4)

This means that the solution to the system of equations is (0, 4)

Find more on equation at:

brainly.com/question/2972832

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Complete question

Solve the system of equations graphed on the coordinate axes below.

y = -2x + 4

y = 1/2x + 4

Cedric work 33.25 hours he makes 13.25 per hour what is his total straight pay for the past two weeks

Answers

To calculate Cedric's total straight pay for the past two weeks, we need to multiply the number of hours he worked by his hourly wage.

Cedric worked 33.25 hours and earns $13.25 per hour.

To find his total straight pay, we multiply the number of hours worked by the hourly wage:

33.25 hours * $13.25/hour = $439.06

Therefore, Cedric's total straight pay for the past two weeks is $439.06.

The icnceased demand for vegetarian meal has caused an increase in the price to toofu. if the cost of tofu is currently $2.99per pound , and is increaseinf by 6% per year, what will it cost in 5 year?

Answers

2.99x(100%+6%)^5 =4.0013

Neil decides to go to a technical college for 18 months to get a degree in computer networking. There are 6 school quarters in the program with a tuition of $530 each. Books for the entire program cost $1,800. How much will it cost Neil to get his degree?a.

$3,180

b.

$3,920

c.

$4,980

d.

$11,340

Answers

The total cost for Neil to get his degree is $4980 so option (C) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Total tuition fees;

6 × 530 = $3180

Books cost = $1800

Total cost to get a degree = Total tuition fees + Books cost

Total cost to get a degree = 3180 + 1800 = $4980.

Hence "The total cost for Neil to get his degree is $4980".

To learn more about the arithmetic operators,

brainly.com/question/25834626

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6(530) + 1800 = 3180 + 1800 = 4980 <===
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