What are the three main functions in trigonometry? The __________________ is opposite the right angle. The __________________ side is opposite the (reference) angle. The __________________ side is next to the (reference) angle. Which two sides are interchangeable, depending on the reference angle? How does the phrase, SOHCAHTOA, help us remember the trig ratios?

Answers

Answer 1

Answer:

Please check explanation for answers

Step-by-step explanation:

1. the three main functions of trigonometry are;

The sine

The cosine

The tangent

2. The hypotenuse is opposite the right angle. The opposite side is opposite the reference angle. The adjacent side is next to the reference angle

3. The opposite and adjacent are the sides which are interchangeable depending on the reference angle.

4. SOHCAHTOA

SOH means ;

Sine = opposite/hypotenuse

CAH;

cosine = Adjacent/Hypotenuse

TOA;

Tangent = opposite/adjacent


Related Questions

Which value of x makes the equation
0.25(x + 20) = 0.1(x + 70) + 0.05x true?
A.0.2
B.25
C.20
D.2

Answers

Answer:

C. 20

Step-by-step explanation:

20 is the only value that makes x true. Basically x = 20.

We find this by doing the "good ol' Isolate the variable by dividing each side by factors that don't contain the variable."

Hope this helps and have a nice day!

What is the slope of the line y=3?

Answers

Answer:

The slope of the line is zero.

Step-by-step explanation:

The slope is zero. This is a perfectly horizontal line passing through y=−3 .

Ali bought 8 apples for a total of $14.32. How much
did each apple cost?

Answers

Each apple costs 1$ and 78 cents

the next model of the car will cost 14.4% more than the current model. the current model costs 39,000 how much will the price increase in dollars? what will be the price of the next model​

Answers

Answer:

$ 44616

Step-by-step explanation:

Hi there !

What will be the price of the next model​ ?

$39000 + $39000×14.4% =

= $39000 + $39000×0.144

= $39000(1 + 0.144)

= $39000×1.144

= $ 44616

Good luck !

Angels family is visiting the city they are looking for a place to spend the night and discovered that the plaza hotel charges 110 per night.Write an equation

Answers

Answer:

$110 x 7 =$770. A weeks stay at the Plaza Hotel will cost $ 770.00. 7 days multiplied by $110 will cosr $770

Using the table created in part a determine how long it will take to complete the calls of Emma and Jackson work together

Answers

Answer: look at the image. hope this helps

Step-by-step explanation:

Peyton go shopping she finds T-shirts one +24.97 and the other cost 13.75 she needs to know if she has enough money to buy both shirts using mental math she round $24.97-$25 and exit 213.75 to get 38.75 how does Peyton need to compensate find the exact all of the Two shirts

Answers

Answer: Subtract 0.03.

Step-by-step explanation:

given data:

Cost of T-shirt one = $24.97.

cost of T-shirt two = $13.75.

peyton rounded the cost of the first T-shirt up to $25 ( by adding $0.03 ). The addeded the cost of the second shift to arrive at a total cost of $38.75 for both.

to find the exact amount of the two shirts, peyton needs to subtract 0.03 from the total amount.

= $38.75 – 0.03

= $38.72

The original amount of both T-shirt is $38.72.

Kayley needs to find the area of a circle. Which process should she use? She should multiply the diameter by 2 and then multiply the result by 3.14. She should multiply the radius by 2 and then multiply the result by 3.14. She should square the diameter and then multiply the result by 3.14. She should square the radius and then multiply the result by 3.14.

Answers

Answer:

The correct answer is the last one:

"She should square the radius and then multiply the result by 3.14"

Step-by-step explanation:

Answer:

The answer is D which says she should square the radius and then multiply the result by 3.14 or pi

Step-by-step explanation:

Took the review, and got 100 on Edge2021 <3

Hope this helped you c:

does anyone know the answer to this?​

Answers

Answer:

it might be 48 seeing that 1/4 of df is dz so add zf to it and df should equal 48

Step-by-step explanation:

BRAINLIEST WHOEVER ANSWERS FIRST!

Caroline's Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy?

Answers

Answer:

The answer is 12

Step-by-step explanation:

All you had to do is subtract 26.95 by 8.95 which is 18, and then you would divide 18 by 1.50 and your answer is 12!

I hope this helped you! Make sure to mark me as a Brainliest!

What is the length of the line?
a. 6.5
b. 7
c. square root of 35
d. square root of 37

Answers

Answer :A


Explanation

Answer: the correct anwser is D square root of 37

Step-by-step explanation:

Determine whether the statement is true or false. Justify your answers.

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

Answers

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

Let us explain the reflection about the axes

If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

That means reflection about the x-axis change the sign of yy = f(x) → reflection about x-axis → y = -f(x)

If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

That means reflection about the y-axis change the sign of xy = f(x) → reflection about y-axis → y = f(-x)

Now let us answer our question

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

how do you do 32x−4=14x+12

Answers

Answer:

8/9

Step-by-step explanation:

you will add 4 to both sides and minus 14x from both sides making it 18x= 16 divided 18 from both sides with will be 16/18 but simplify it and it will be 8/9

Answer:

8

9

Step-by-step explanation:

given m ll n find the value of x

Answers

Answer:

63°

Step-by-step explanation:

opposite angle

63°

Does anyone know if this is a function ?

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

This is a function since each x value, the number on the left in the paretheses only has one y value.

If any x had more than one y value, it wouldn't be a function.

Hope this helps:)

if Sam drove 5 miles per hour 3 minutes how many miles will it take Sam to get to another 17 miles​

Answers

Answer:

It will take Sam another 10 minutes and 20 seconds to go another 17 miles.

If Sam is going 5mi per 63 min, then we can ADD 63+63=126 it takes 126minutes for 10mi, 126+63=189 it takes 189 minutes to go 15mi, now we DIVIDE 63/5 = 12.6 minutes to travel 1mi, so 12.6+12.6 =25.2 189+25.2=214.2 minutes to travel 17mi

Answer:
214.2 minutes
3.57 hrs

Use the rule y = -x + 7 to fill in the blank.

If (-1, y) is on the graph, then y = ___

Answers

Answer:

8

Step-by-step explanation:

x=-1 so -(-1)+7=y

1+7=y

8=y

Answer:8

Step-by-step explanation:

mark me brainlist

Find the midpoint of the segment with the following endpoints.
(4, -10) and (10,0)
literally anyone know this ?

Answers

Ok the answer is (7,-5)

What is the LCM (12, 15)?

Answers

Answer:

60

Step-by-step explanation:

12x5=60 and 15x4=60 so 60 is the LCM

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+157x+124 y=−16x 2 +157x+124

Answers

Answer:

Rocket will hit the ground in 10.55 seconds.

Step-by-step explanation:

Let be [tex]y = -16\cdot x^{2}+157\cdot x +124[/tex], where [tex]x[/tex] and [tex]y[/tex] are time after launch and the height of the rocket, measured in seconds and meters, respectively. To find the time that the rocket will hit the ground, we need to equalize height to zero and solve the resulting expression:

[tex]-16\cdot x^{2}+157\cdot x + 124 = 0[/tex]

The quadratic function can be solved analitically by Quadratic Formula, that is to say:

[tex]x = \frac{-157\pm \sqrt{157^{2}-4\cdot (-16)\cdot (124)}}{2\cdot (-16)}[/tex]

Roots of the polynomial are, respectively:

[tex]x_{1} \approx 10.55\,s[/tex], [tex]x_{2}\approx -0.74\,s[/tex]

Only first root offers to us a reasonable solution. Hence, we conclude that rocket will hit the ground in 10.55 seconds.

What is the value of x?
(5x)
(3x + 18)º

A. x = -2.25
B. x = 2.25
Cx = 9
D. x = -9

Answers

We know that 5x-3x =2x

So x(5x-3x)=x×2x

=(2x)^2

=4x^2

Which is given as 18.

X^2=18÷4

=4.5

So x=root over 4.5

Which is approximately 2.25

Name the plane in 2 ways please! simple and quick :) ​

Answers

Answer:

Plane A or Plane MVN

Step-by-step explanation:

Please help me with this problem thank you​

Answers

LP is 12 units, MN is 3, so MN is 1/4 of LP, meaning there is a 25% chance that any point on LP is MN

Tyrell went to the park to go jogging. The beginning of the running path has an elevation of -2 feet. The highest elevation on the jogging path is 14 feet. What is the difference in elevation between the highest point and the beginning of the path? Make sure you write down the highest point first then take away the negative two.

Answers

Answer:

16 ft

Step-by-step explanation:

Difference in a math question always signifies that we are subtracting. When finding the difference between an elevation you need to subtract the highest point first from the lowest point or starting point. Therefore in this scenario, we subtract 14 feet which is the highest point from the starting point which is -2 ft. Since the starting point is at a negative elevation, the negatives will cancel out and becomes a positive.

14 - (-2) = x ... negative cancel out and become a positive or addition

14 + 2 = x

16 ft = x

Finally, we can see that the difference between these two points is 16 ft.

What is 5+5 and how do i use my fingers to get it?

Answers

10


Each hand has 5 fingers, so hold up both of your hands and count them up and you’ll get 10 fingers in total!

Answer:

5+5=10

Step-by-step explanation:

If you have 5 fingers on 2 hands, you put them together and count 1 by 1. if not then since there are 2 5s, multiply 5 and 2, hten tell you're teavher you dont got no fingers

SOLVE ASAP WILL GIVE BRAINLIEST 100 POINTS

Answers

Answer:

I believe thats 8 to the power of 7

Step-by-step explanation:

Answer:

i clicked your link adn it looks like 8^7 or 8 to the 7th power which would be 2,097,152

Step-by-step explanation:

A spaceship on a journey between planets would have to recycle as much air and water as possible. Suppose the crew on such a spaceship used 32.99 L of water one day and recycled all but 0.24 L. About what percent of the water was​ lost?

Answers

You take the percent that was lost (0.24) and divide by the total used (32.99) and you get a decimal of 0.007274 and the percentage of that is 0.7274%

What two numbers multiply get 45 and added get -18?

Answers

Answer:

-3 and -15

Step-by-step explanation:

-3*-15=45

Answer: When 45 is added to -18 it’s written as 45-18=27.

If the sum of the square of the number and 4 time the number is 21,
what is the number? ​

Answers

Answer:

I think there is a missing “and” there: “If the sum of the square of the number and 4 times the number is 21, what is the number?”

If so, then we have: x² + 4x = 21, or x² + 4x - 21 = 0.

This factors as (x+7)(x-3) = 0, so x = -7 or x = 3.

what is 1000x57 to the second power?

Answers

Answer:

57*57*1000= 3249000

(>'-'<)    

Other Questions
Which of the following numbers is to the right of 6 on a number line? Please answer all questions and explain, except 1, 7, and 8, I will award brainliest. PLEASE HELP ASAP How would you graph this correctly onto a graph? Stories and new articles about people becoming wealthy are familiar to most people. In both "The story of baba abdalla" and the article "Lots of lottery winners go bankrupt" people suddenly become rich useing the evidence from the text compare and contrst how the people in both texts react to thier sudden wealth. What are the first four terms of the sequence shown below? an = 2n HelpppppFind the equation of the line parallel to y = -1/2 - 4 and goes through the point (-2,-5) Progressives wanted to fix problems caused by the Revolution. industrial,american,algriculer,and russan Only the _______valence electrons in an atom take part in chemical bonds.A)PairedB)Unpaired The radius of Earth is about 6.38 x 10 kilometers. Write this distance in standard notation. IF YOU GET GOOD GRADES ON SCIENCE TESTS PLEASE HELP ME!!!!!based on the table and your knowledge about waves, what can you conclude about the wavelength of mechanical waves compared to electromagnetic waves?A. Mechanical waves have greater amplitudeB. Mechanical waves tend to have longer wavelengthC. Mechanical waves tend to have shorter wavelength D. Mechanical waves travel faster than electromagnetic waves(please be certain about your answer) Use the given information to find the measure. what is the structure of the lysosomes organelle? What is one way that kinetic energy can be transformed into another form of energy? Fraser scores 43% in a spelling test. What percentage did he get wrong? A body with initial velocity 8.0 m/s moves along a straight line with constant acceleration and travels640 m in 40 s. For the 40 s interval, find (a) the average velocity, (b) the final velocity, and (c) theacceleration. what is the answer to-4y + 2= -2 HELP PLEASE!!!!!!Create a situation that could be modeled by the equation f(x) = 2x + 7. The percent increase from 18 to 26 is find the percent of change What is Monohybrid cross? What is the main fear that ransomware attacks center around?