1. If sin y = sin 35, y≠35, what is the value of y? 2. If cos y = cos z = - cos 35, y≠z≠35, what are the values of y and z? 3. If sin y = sin x and x<90, y≠x, what is the value of y in terms of x? 4. If sin y = sin z = -sin x and x<90, y≠z≠x, what are the values of y and z in terms of x? 5. If cos y = cos x and x<90, y≠x, what are the value of y and z in terms of x? 6. If cos y = cos z = - cos x and x<90, y≠z≠x, what are the values of y and z in terms of x?

Answers

Answer 1

Answer:

1. y = 145  

2. y = 145 and z = 215  

3. y = 180 - x  

4. y = 180 + x and z = 360 - x  

5. y = 360 - x

6. y = 180 - x and z = 180 + x

Step-by-step explanation:

1. siny = sin35

Since sin35 is positive, siny is in the second quadrant.

So siny = sin(180 - 35) = sin35

siny = sin145 = sin35

Since siny = sin145, y = 145

2. cosy = cosz = -cos35

since -cos35 is negative in the second and third quadrant,

cosy = cos(180 - 35) = -cos35 and cosz = cos(180 + 35) = -cos35

cosy = cos145 = -cos35 and cosz = cos215 = -cos35

Since cosy = cos145 and cosz = cos215,

y = 145 and z = 215

3. If siny = sinx and x < 90,

since x < 90, sinx is in the first quadrant and siny is in the second quadrant since it is positive

siny = sin(180 - x) = sinx

Since siny = sin(180 - x)

y = 180 - x

4. siny = sinz = -sinx and x< 90

since -sinx is negative and sine is negative in the third and fourth quadrant respectively, siny and sinz are in the third and fourth quadrant,

siny = sin(180 + x) = -siny and sinz = sin(360 - x) = -sinx

Since siny = sin(180 + x) and sinz = sin(360 - x)

y = 180 + x and z = 360 - x

5. cosy = cosx and x < 90

Since cosx is positive in the first and fourth quadrant, and x is in the first quadrant,

cosy = cos(360 - x) = cosx

cosy = cos(360 - x)

y = 360 - x

6. cosy = cosz = -cosx  and x< 90

since -cosx is negative in the second and third quadrant,

cosy = cos(180 - x) = -cosx and cosz = cos(180 + x) = -cosx

cosy = cos(180 - x) and cosz = cos(180 + x)

y = 180 - x and z = 180 + x


Related Questions

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of {1}{15} ​ start fraction, 1, divided by, 15, end fraction of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, sss, Darcie can skip crocheting and still meet her goal.

Answers

Answer:

s ≤ 60 - (3 ÷ 1/15)

Step-by-step explanation:

Minimum of blankets to crochet = 3

She has 60 days to crochet

She crochet at a rate of 1/15 of a blanket per day

Therefore to crochet 1 blanket

Number of days needed =x

1 blanket = rate per day * x days

1 = 1/15 * x

1 = 1/15x

Divide both sides by 1/15

x = 1 ÷ 1/15

= 1 × 15/1

= 1×15

x = 15

15 days needed to crochet 1 blanket

To crochet 3 blanket = 15 days × 3 blanket

=45 days needed.

Darcie can skip = 60 days - 45 days

= 15 days

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

s ≤ 60 - (3 ÷ 1/15)

Solving the inequality

s ≤ 60 - (3 ÷ 1/15)

s ≤ 60 - (3×15/1)

s ≤ 60 - 45

s ≤ 15

Answer:

s ≤ 60 - (3 ÷ 1/15)

Step-by-step explanation:

Carlos buys a new phone. He
makes an initial payment of
$39.50. In order to pay off the
balance on this phone, he has
to make nine additional
payments of $29.30 each.
What is the total cost of the
phone?

Answers

The answer is $303.2

Hello I need immediate help please?

Dion bought tickets for the fun park so that he and his friends would each have the same number of tickets. There are enough tickets so that each person can ride the go-carts once, play video games three time, and play laser tag twice.

When Dion purchased the tickets for himself and his eight friends, he realized that he could purchase ticket books, individual tickets, or a combination of books and individual tickets. Dion figured out the cheapest way to buy tickets for his group. What was the total cost?

Please I would appreciate it a lot ❤️

Answers

Answer:

25

Step-by-step explanation:

;\

The required cheapest way to buy tickets is by buying 7 ticket books and 3 individual tickets.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Consumption of tickets for each person can ride the go-carts once, play video games three times, and play laser tag twice,
= 4 + 1*3 * 2*6

= 19
So each person conceded 19 tickets,
Total ticket conceded by 9 persons,
= 19 * 9
= 171 tickets
Now the cheapest option is given by,
A ticket book consists of 24 tickets so,
Dividing 171 by 24 the quotient will be the number of books and the remainder will be the individual tickects for the cheapest purchase,
= 171 / 24
= 7 + 3 / 24
quotient = 7
remainder= 3

Thus, the required cheapest way to buy tickets is by buying 7 ticket books and 3 individual tickets.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2



Radius 2.9cm what’s the circumference

Answers

Step-by-step explanation:

radius=2.9 cm

circumference=2πr

=2*22/7*2.9

=18.2 cm

The slope is positive?
The slope is negative?
The slope is zero?
There is no slope?

Answers

The slope for each is 8

X is the slope.

y=mx+b

m is the slope and b is y intercept.

Equations listed below.

1. y=8x-8

2.y=8x-4

3. y=8x

4 y=8x+4

5.Y=8x+8

Answer: undefined

Step-by-step explanation: The slope is in a vertical line. So, when the slope is in a vertical line it is considered undefined.

This figure has two intersecting lines and a ray.


What is the value of x?


Enter your answer in the box.

Answers

Answer:

Value of x is 90°

Step-by-step explanation:

Why?Imagine it as a shape of circle.

Circle has a measurement total of 360°

Semi cirlcle(half of the circle) is equivalent to 180

Now,

The bottom semi circle has a 146°

The top has a 56°

You can simply compute it by subtracting them.

[tex]146 - 56 = 90[/tex]

what two ratios are equivalent to 8:11

Answers

Two ratios are 16:22 and 24:33, just multiply each side by the same number
16:22 is the answer I took the test

Check whether the given numbers is a solution of the equation or inequality x+9=17;8

Answers

Answer:

It is a solution to the equation

Step-by-step explanation:

We just need to bring the value 9 to the right hand side of the equation

So we have;

x = 17 -9

x = 8

Is it possible to have a triangle with two right angles? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

For something to be considered a triangle, the sum of its angles must be 180 degrees. Right angles are 90 degrees. And since triangles must have 3 angles, it could not work. 80+80 exceeds 180.

WILL MARK YOU BRAINIEST HURRY PLZ

Answers

Acute triangle; m<CDB = 180 - 130 = 50 and m<2 = 180 - 70 - 50 = 60.

remember that all angles in a triangle add up to 180°.

And angles on a straight line add up to 180°.

You have been saving $4.50 per week for the last several weeks. Today you decide to spend $21 which is 1/6 of your savings. How much money did you have saved? How many weeks have you been saving for?

Answers

Answer:

Q

Step-by-step explanation:

Answer:

$126 saved

28 weeks saving up money

Step-by-step explanation:

21 x 6 = 126

126 ÷ 4.50 = 28 weeks

Amanda wants to host a party. She invites 3 friends and tells them to invite 3 of their friends. The 3 friends do invite 3 others and ask each to invites 3 more people. This invitation process goes on for 5 generations of invitations. Including, herself, how many people can Amanda expect at her party?

Answers

Answer:

45 people

Step-by-step explanation:

person#1 3x5=15

person#2 3x5=15

person#3 3x5=15

then you do 15x3=45

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

s=24

Step-by-step explanation:

Answer:

s=24

Step-by-step explanation:becuase this is an improper fracton

so you do 8x the 3 that is shown above the you will have you r answer plz mark as brainliest thx

(x^2+3x)=(x^2+x+2)

is it a or b
a. x=2
b. x=1

Answers

Answer:

b. x = 1

Step-by-step explanation:

(1^2+3x)=(1^2+1+2) is equal to 4

What is v48 in simplified form?
4v3
48 can't be simplified
2v12
24

V means square root

Answers

Answer:- 12/25 is the simplified fraction for 48/100.

Step-by-step explanation:

Do I just type out where the dots are on the x axis?​

Answers

Answer:

yes

Step-by-step explanation:

Select all the triangle that have and area of 45 square units.
A
B
C
D
E

Answers

The answer is A and C.

4(6x - 10) = 8x + 40

Answers

Answer:

5

Step-by-step explanation:

24x-40=8x+40

plus 40

24x=8x+80

then u subtract 8

then u get 16x

then 80 divied by 16

u get 5

Answer:

x = 5

Step-by-step explanation:

4(6x -10) = 8x + 40

24x - 40 = 8x + 40

now were going to get the variable and the numbers on different sides

24x - 40 + 40 = 24x

8x + 40 - 8x = 40

24x - 8x = 16x

40 + 40 = 80

16x = 80

now divide each side by 16

16x / 16 = x

80 / 16 = 5

x = 5

Solve for x. -17=-5x+3(x-7) Simplify your answer as much as possible. x=?​

Answers

Answer:

ANother filthy£50

Step-by-step explanation:

answer is £50

i think

HELP MEEEEEEEEEE!!!! the answer is not D i just clicked on it, please help fast!

Answers

The answer is B because it’s asking for zeros not coordinates

What is 10r-5r+3r-8r?????

Answers

Answer:

16

Step-by-step explanation:

Rani is making rice pudding. She uses 3/4 cup of white rice for every 2 cups of milk. how many cups of rice does she need when she uses 3 cups of milk

Answers

Answer:

9/4 cups or 2 1/4 cups.

Step-by-step explanation:

Since she uses 3/4 for every 2 cups, then we have to find out what she makes per cup. We have to divide 3/4 in half and to do that, we want to scale up 3/4 making it 6/8 which is congruent to 3/4.

Now we divide 6/8 in half which is 3/8.

Then we multiply that by 3, 6 times 3 is 18. So now it is 18/8 cups. We can now scale down and simplify it more.

To do that, we just divide the fraction by 2 to make to denominator into 4. Because of that, our answer is 9/4 cups or 2 cups and 1/4 cup.

Cups of rice uses for every 3 cup of milk is [tex]1\frac{1}{8}[/tex] cups

Given:

Cups of rice uses for every 2 cup of milk = 3/4 cup

Find:

Cups of rice uses for every 3 cup of milk

Computation:

Cups of rice uses for every 1 cup of milk = (3/4) / 2

Cups of rice uses for every 3 cup of milk = [3 / 8]3

Cups of rice uses for every 3 cup of milk = 9 / 8

Cups of rice uses for every 3 cup of milk = [tex]1\frac{1}{8}[/tex] cups

Learn more:

https://brainly.com/question/2281974?referrer=searchResults

The soulution is x = ________ .

Answers

Answer:

1 x alone will always be 1

Brent has 48 pens in his locker. The pens are colored blue and black. He counts 30 pens and the
rest are black. What is the ratio of black pens to total pens in his locker?

Answers

Answer:

18:30

or a more simplified version is

3:5

Answer:

18

Step-by-step explanation:

What is located at (–2, –2)?
A. Nicholas’s home
B. post office
C. school
D. grocery store

Answers

Answer:

B. The post office

youre welcome!

The place located at coordinates (-2, -2) is the post office.

Option B is the correct answer.

We have,

The coordinates are in the form of (x, y).

The coordinates of each location on the given graph are:

Nicholas’s home = (0, 0)

Post office = (-2, -2)

School = (3, 2)

Grocery store = (1, -1)

Thus,

The place located at coordinates (-2, -2) is the post office.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ6

convert 6 feet into meters. round to the nearest tenth

Answers

20 feet.

..........
2 meters :)

6 feet is 1.83 meters so if you round up you will get 2 meters. Hope I helped you :)

Help it’s due today !!!

Answers

I believe it’s (A)
Because when u square root -3 it equals 9 when added to 5 gives u 14 and the rest don’t

Carpeting cost $7.99 a yard. If Jan buys 12.4 yards, how much will it cost her?

Answers

Answer:

Step-by-step explanation: 99.07

2(u-1)-6= -5(-4u+4) -3u

Answers

Answer:

u = 4/5

Step-by-step explanation:

Expand

2u - 2 - 6 = 20u - 20 - 3u

Rearrange with like terms on either side

12 = 15u

u = 4/5

Answer:

u=4/5

Step-by-step explanation:

First, parentheses/multiply on both sides.

2u-2-6=20u-20-3u <--- two negatives make a positive

Next, add/subtract like terms.

2u-8=17u-20

Then, add 8 to both sides.

2u=17u-12

Finally, get "u" by itself. Subtract "17u" to both sides and then divide "-15" to both sides

-15u=-12

u=4/5

exponents and roots are what operations

Answers

Answer:

An exponent

Step-by-step explanation: So if we have 83, we want to multiply three 8s, or 8 * 8 * 8. A root is basically the opposite. We're trying to find the number that we multiply by itself a certain number of times to get the number under the radical sign.

Other Questions
samuel read 8 books in 10 months. what is his rate of reading in books per month Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours? Escuchamos el maestro y estudiamos en clase.TrueFalse What tools would you use to find evidence of early human societies in Africa or Asia? List the tools or methods you would use and a description of each. One example has been provided for you. please helpenglish 4learning task 6: write the concluding sentence for each topic sentence below using an end-of-paragraph signal1. exercise is important for a healthy body.2.every meal should include fruits and vegetables.3.the less junk food you eat, the healthier you will be.4.it is easy to choose healthy snacks; here's how.5.breakfast is the most important meal of the day.we can see thaton the wholesohenceto sum upin sumin conclusionin short Sujan saw you.( into passive) How were Aztec pyramids similar to Egyptian pyramids, and how were they different? The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle Which was a result of the Norman conquest of England what is (5.6*10^6)-340,000 Which laws apply to members of a tribe when they a federal Native American reservation? Given that every seventh person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you dont get a coupon when youre in line? Enter a fraction or round your answer to 4 decimal places, if necessary. For each part of this problem, show all your work and write a probability statement. Investigators recently reported the results a study designed to assess whether or not the herb, St. Johns Wort is effective in treating moderately severe cases of depression. The study involved 338 subjects, randomly assigned to receive one of three treatments: St. Johns Wort, Zoloft, or a placebo. The authors were primarily interested in whether St. Johns Wort performed better than placebo and included Zoloft as a "way to measure how sensitive the trial was to detecting antidepressant effects." Their results are presented in the table below: St. John's Wort Placebo Zoloft TotalFull Response 27 37 27 91 Partial Response 26 13 26 55No Response 70 66 56 192Total 113 116 109 1381. What is the probability that a randomly selected subject had no response?2. What is the probability that a randomly selected subject was treated with Zoloft and had a full response?3. What is the probability that a randomly selected subject had a full or partial response given they were treated at St. John's Wort?4. What is the probability that a randomly selected subject who didn't have a full response was treated with Placebo? Why did Velu decide to follow the 'strange girl'? A father has dimples, the mother does not have dimples, and all four of their children have dimples. Dimples (D) are dominant over no dimples (d). Draw a Punnett square to show the probable genotypes of all six people in this family One check that the legislative branch has over the judicial branch is __________. A. The power to declare war B. The power to enact taxes and allocate funds C. That the Supreme Court is required to report on the State of the Union to Congress D. The power to set the jurisdiction of courts Here are the total scores of 10 students in an introductory statistics course. 62 93 54 76 73 98 64 55 80 71Previous experience with this course suggests that these scores should come from a distribution that is approximately Normal with mean 72 and standard deviation 10. The grading policy says that the cutoffs for the other grades correspond to the following: bottom 5% receive F, next 15% receive D, next 35% receive C, and next 30% receive B. These cutoffs are based on the N(72, 10) distribution.A) Give the cutoffs for the grades in this course in terms of standardized scores.B) Give the cutoffs in terms of actual total scores. C) Do you think that this method of assigning grades is a good one? state the uses of coke ? Small, energy-efficient, Internet-centric, new computers are increasingly gaining popularity (The New York Times, July 20, 2008). Some of the biggest companies are wary of the new breed of computers because their low price could threaten PC makers already thin profit margins. An analyst comments that the larger companies have a cause for concern since the mean price of these small computers has fallen below $350. She examines six popular brands of these small computers and records their retail prices as given below:$322 $269 $373 $412 $299 $389Required:a. What assumption regarding the distribution of the price of small computers is necessary to test the analysts claim?b. Select the appropriate null and the alternative hypotheses to test the analysts claim.1. H0: = 350; HA: 3502. H0: 350; HA: > 3503. H0: 350; HA: < 350c. Calculate the value of the test statistic. d. At the 5% significance level, what is the critical value(s)? Is there anyone who can do my homework for me Its 30 questions I'm really busy with life this is why I ask if you can please friend me I also need the work