pre-calc questions (trignometry)

Pre-calc Questions (trignometry)
Pre-calc Questions (trignometry)

Answers

Answer 1

Answer:  (1a) 250°  (1b) 70°    (2) see below

Step-by-step explanation:

1a) -110 + 360 (one rotation clockwise) = 250°

1b) 430 - 360 (one rotation counterclockwise) = 70°

2) sec Ф = -8/5    in Quadrant III

Quadrant III identifies that both sin (y) and cos (x) are negative.

sec = r/x --> r = 8, x = -5, and y = -√39

(Use Pythagorean Theorem x² + y² = r² to solve for y)

[tex]\sin\theta=\dfrac{y}{r}=\dfrac{-\sqrt{39}}{8}[/tex]              [tex]\csc\theta=\dfrac{r}{y}=\dfrac{-8}{\sqrt{39}}[/tex]  rationalized = [tex]\dfrac{-8\sqrt{39}}{39}[/tex]

[tex]\cos\theta=\dfrac{x}{r}=\dfrac{-5}{8}[/tex]                  [tex]\sec\theta=\dfrac{r}{x}=\dfrac{-8}{5}[/tex]  (GIVEN)

[tex]\tan\theta=\dfrac{y}{x}=\dfrac{\sqrt{39}}{5}[/tex]              [tex]\cot\theta=\dfrac{x}{y}=\dfrac{-5}{-\sqrt{39}}[/tex]  rationalized = [tex]=\dfrac{5\sqrt{39}}{39}[/tex]

NOTE THAT YOU ARE ALLOWED A MAXIMUM OF 3 QUESTIONS PER POST.  Please repost #3 and #4 as a different question and I will answer them.


Related Questions

Need Help! Solve for x

Answers

Answer:

Step-by-step explanation:

25²-16²=369

369+x²=22²

x=10.72(correct to nearest tenth)

200, 100,
50, 25,
b. What is the fifth term?

Answers

Answer:

12.5

Step-by-step explanation:

Keep dividing by 2, 25 divided by 2 is 12.5

I believe the answer is 12.5

I dont know which one!! Please help!! ​

Answers

Answer:

B C

Step-by-step explanation:

it's b and c

write the equation of the line with the givin slope and y-intercept form GET 10 POINTS

Answers

Answer:

The answer is

[tex]y = \frac{1}{3} x - 1[/tex]

Step-by-step explanation:

Let The equation is

[tex]y = mx + c[/tex]

Since the straight line intersects with Y axis at - 1

Then x equal to zero

Since m=1/3

Then

[tex]y = \frac{1}{3} x + c \\ when \: y = - \: \: and \: x = 0 \\ then \: c = - 1 \\ y = \frac{1}{3} x - 1[/tex]

3+2x = 41

Need help
Show work

Answers

Answer:

x=16

Step-by-step explanation:

when solving for a variable, get the variables to one side of the equation and the numbers to the other side.

3+2x=41

*minus 3 from both sides of the equation to get rid of the number on the side of variables of the equation*

2x=38

to get one variable alone, divide the whole equation by 2

x=16

Ok so I did it on my paper and that is wrong but I’m not sure

13 In 2010, Cool Game Corporation made a profit of $84.7 million.
The profit made in 2010 was 2.2 times the profit the company
made in 2009.

Answers

in 2009 the company made thirty-eight million five hundred thousand dollars

4n-16=6 I need to solve this

Answers

the answer is= n= 11/2 and in decimal it’s n=5.5
Explanation:
You first move the constant to the right
4n=16+6 you then calculate which will be 4n=22 and then you divide both sides

Find an equation of the line that contains the point (4,-3) and is perpendicular to the line 2x-3y=4

HELPPPPPPPPPP PLISSSSSSSS

Answers

Answer:

Step-by-step explanation:

-3y = -2x + 4

3y = 2x - 4

y = 2/3x - 4/3

perp; -3/2

y + 3 = -3/2(x - 4)

y + 3 = -3/2x + 6

y = -3/2x + 3

HELP ASAP!! (MATH) I WILL MARK BRAINLIST, PLZ HELP!! PLZZ HELP!

Answers

If I am correct it is option C) 90/360

Answer: 3/300

Step-by-step explanation:

divide 24x^2y^2z^2 by 6yz​ pls give step by step explanation

Answers

Answer:

[tex]\boxed{4x^2yz}[/tex]

Step-by-step explanation:

[tex]24x^2y^2z^2 \: by \: 6yz = \frac{24x^2y^2z^2 }{6yz} = \\ \frac{(24)x^2y^2z^2}{(6)yz} = \frac{24}{6} \times \frac{yz}{yz} \times \frac{x^2yz}{1} = \\ \frac{4}{1} \times \frac{1}{1} \times \frac{x^2yz}{1} = \boxed{4x^2yz}[/tex]

Masha bought 24 snickers, 56 kit kats, and 96 twixes to make identical goody bags with the same number of Snickers, Kit Kats, and Twixes. What is the largest number of identical goody bags that Masha can make, if she wants to use all the candies?

Answers

Answer:

8 bags

Step-by-step explanation:

Get the prime factors of each number and find GCF

24 = 2*2*2*356 = 2*2*2*796 = 2*2*2*2*2*3

CGF(24, 56, 96) = 2*2*2 = 8

Number of bags is 8

Each bag contains:

3 Snickers, 7 Kit Kats, 12 Twixes

Answer:

8 bags

Step-by-step explanation:

Convert the decimal value 0.28 to a fraction

Answers

Answer:

Step-by-step explanation:

7/25 28%

0.24 6/25 24%

0.31818 7/22 31.818%

0.30435 7/23 30.435%

Answer:

7/25 (simplified) OR 28/100.

‎‎‎‎‎‎

help whoever ever get s it 5 stars and brainless ​

Answers

Answer:

3/4

Step-by-step explanation:

9/12 which can be simplified by dividing by 3 (the common factor) to get 3/4.

Caitlin purchased a prepaid phone card for $20. Long distance calls cost 7 cents a minute using this card. Catin used her card only once to make a long
distance all the remaining credit on her card is $168. how many minutes did her call last?

Answers

Correct question is;

Caitlin purchased a prepaid phone card for $20. Long distance calls cost 7 cents a minute using this card. Catin used her card only once to make a long distance all the remaining credit on her card is $16.8. how many minutes did her call last?

Answer:

45 minutes 43 seconds

Step-by-step explanation:

We are told that she purchase the prepaid phone card for $20.

Now she has $16.8 after making the call.

Therefore;

Amount spent on the call = 20 - 16.8 = $3.2

We are told that the long distance call costs 7 cents per minute. Which is $0.07 per minutes

Thus, time spent = $3.2/$0.07 = 45.714 minutes or 45 minutes 43 seconds

PLEASE PLEASE HELP
Solve. Be sure to write your solution as a solution set using braces {}.

(y + 4)(3y - 5) = 0

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

(y+4)(3y−5)=0

Step 1: Simplify both sides of the equation.

3y2+7y−20=0

Step 2: Factor left side of equation.

(3y−5)(y+4)=0

Step 3: Set factors equal to 0.

3y−5=0 or y+4=0

y=5 /3

or y=−4

How can you use expressions to find the percent of a number?

Answers

Answer:

See below

Step-by-step explanation:

x% of y is found as:

1% of y ⇒ y*1/100 = 0.01yx% of y ⇒ x*0.01y = 0.01xy

So the answer is:

0.01xy

HELPPPP: From the top of a light house 50 meters high, the angle of depression of a boat out at sea has a measure of 15°. Find to the nearest meter the distance from the boat to the foot of the light house, which is at sea level.

Answers

Answer:

13m

Step-by-step explanation:

[tex]d=50tan(15)=13m[/tex]

The required distance from the boat to the foot of the light house, which is at sea level is 13meter

Given that,

The top of a light house 50 meters high,

The angle of depression of a boat out at sea has a measure of 15°.

We have to determine,

To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.

According to the question,

The angle of depression may be found by using this formula = opposite/adjacent.

The opposite side in this case is usually the height of the observer or height in terms of location.

Therefore, angle of depression = 15degree

Height of the light house = 50m

The distance from the boat of the light house is denoted by d.

Then the distance from the boat of the light house is given as.

[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]

Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter

For more information about Trigonometry click the link given below.

https://brainly.com/question/2773823

– 6 x + 4 < 29 answer?

Answers

Answer:

its 847>×+18 enjoy hope it work

ysis Q3
Follow these steps to prove the given quadrilateral is a parallelogram.
1. Determine the slope of AB: 413
2. Determine the slope of DC: 413
3. Determine the length of AB:
B
С
2
A
-2
D
Check

Answers

Answer:

1.   Determine the slope of line AB:  4/3

2.  Determine the slope of line DC:  4/3

3.  Determine the length of line AB:  5

4.  Determine the length of line DC:  5

A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?

Answers

Answer:

$2.77 per quart.

Step-by-step explanation:

There are four quarts in a gallon.

4 * 3 = 12

There are 12 quarts in 3 gallons.

[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]

The price per quart should be $2.77.

Hope this helps.  

A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20 . The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?

Answers

Answer:

The employees will work for 1 hour, will earn $5 per hour and will be paid $5

Step-by-step explanation:

System of Equations

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

Which rule explains why these triangles are congruent?

Answers

Answer:

ASA prove it's congruent

as 2 angles are equal and a side between of them is same for both triangles.

A rectangular room is 3 meters longer than it is wide, and its perimeter is 26 meters. Find the dimension of the room. The length is : meters and the width is meters.

Answers

Perimeter is the sum of all 4 walls.

Divide the perimeter in half for the total of the width  + the length:

26/2 = 13 meters

Subtract the difference in length:

13 - 3 = 10

Divide by 2 walls:

10/2 = 5

The width is 5 metes.

The length is the 5 metes + the 3 meter difference = 5 +3 = 8 meters.

The length is 8 meters and the width is 5 meters.

HELP PLEASE I NEED ANSWER ASAP!

Answers

Answer:

86+18[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18[tex]\sqrt{2}[/tex]. The answer is now 86+18[tex]\sqrt{2}[/tex].

Answer:

111.4556

Step-by-step explanation:

Perimeter = 18 + 25 + 18√2 + 43

Perimeter = 86 + 18√2

Perimeter = 86 + 18(1.4142)

Perimeter = 86 + 25.4556

Perimeter = 111.4556

Linear equations: 5 +2(2x-3)+8x = -5x +2. and . 5 -2(2x-3)+8x = -5x +2

Plz show your work.

Answers

Answer:

hello,I'll edit the process and say step by step.

result= 28x-30= -70x²+73x-18 = -5x+2

Sorry, it was a little long process. I could not explain them all. I said the result directly.And I am Turkish, sorry if there is a problem with my pronunciation.But remember, you will do it according to the distribution in the parenthesis.

1 + 3/4 =? trying to figure this out!

Answers

Answer:

1.75 as a decimal or 1 3/4 as a mixed number

Write the algebraic expression of “the sum of a multiple of 3 and the number one greater than multiple of 3”

Answers

Answer:

9 IS THE ANSWER

Step-by-step explanation:

3*3=9

Nine is 15% of what number

Answers

Answer:

60

Step-by-step explanation:

9/15 = 0.6

0.6 x 100 = 60

Answer:

60

Step-by-step explanation:

Let x be the number

15/100 * x  =  9

multiply by 100

15x = 900              Divide by 15

x = 900/15

x =  60

What is the value of g?

Answers

Answer:

31

Step-by-step explanation:

Answer:

g = 31

Step-by-step explanation:

The entire angle is 90 degrees. Subtract 90 - 59 to find the value of g. You get 31.

Hope it helps!

What is pi/4 a reference angle for

Answers

is it multiple choice
Other Questions
I need so much help, can anyone please help me? c) An identical spring is pulled with a force or 75 N The elastie limit of the spring is 72NSuate and explain whether or not the spring will return to its original shape. Local law enforcement has mandated that children under the age of sixteen return home by 11 PM. This type of law is known as a ________ law. A. truancy B. substance C. curfew D. juvenile If its _____________ in the Northern Hemisphere, then its Summer in theSouthern Hemisphere.Fall/AutumnWinterSummerSpring Recall How did the Buffalo Soldiers get their name? Complete the analogy below. Remember, find the relationship between the word pairs, and then choosethe word to complete the analogy.urban: rural as wealth:O povertyOabundanceO commoditiesO prosperity True or False: An equation to find Circumference is C = r2 Plz answer ASAP Question; What role, idea, etc. do you believe people need to stop believing in simply for the sake of conforming, or, for the sake of being different? Write one function of each of the following enymes1) Pepsin( 2) Lipase 2. Bakit isa si Sumakwel sa itinuturing na pinuno sa kanilang gagawing paglalakbay? Ito ay dahil A. Siya ang pinakamatandang datu B. Tumanggi siya sa balak na paglaban C. Siya ang punong ministro ni Sultan Makatunao D. Marami siyang alam tungkol sa paglalayag What two numbers multiply to -16 and add up to 0? who says "You wouldnt leave when I wanted to. You couldnt leave your things. You couldnt leave your precious furniture. in diary of anne frank Patricia has $425.82 in her checking account. How much does she have in her account after she makes adeposit (puts money in) of $120.75 and a withdrawal (takes money out) of $185.90? Amelia's account balance is $16. If she uses her debit card to buy a $32shirt from the mall, what will the balance of her account be? 3 Write the statement "10 is 7 less than the product of 5 and a" as amathematical equation. 2). Stuart took his wife out to dinner. The bill came to $72.00 and hewants to leave a 15% tip. How much should Stuart leave the server for thetip? * Hellllpppppop!?!?!!????? 3. After learning about chemical reactions, Olivia investigated differentkinds of chemical changes using substances she found in her kitchenso she could see these changes. Which of the following can occur whena chemical reaction takes place? Choose the three statements thatapply. 1. The Imperialism control system that used a local ruler but with European advisors to control trade was calledprotectoratesO capitalismO direct ruleO nationalism I need help.. I can't figure it out 1. Printmaking involves moving a tool across a dry surface to create marks on that surface.O TrueO False