Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree​

Answers

Answer 1

Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

Answer 2

Answer:

cos 30

Step-by-step explanation:


Related Questions

please I need help i will give 30 points

Answers

Answer:

250π OR 785.398

Step-by-step explanation:

Just plug in the values given to you in the image into the formula for volume.

Your answer can either be 250π or it can be 785.398

Both are correct

More math! <.>
Which of the pp-values satisfy the following inequality?
5≥2p+1
Choose all answers that apply:
A: p=0
B: p=1
C: p=2

Answers

Answer:

answer c p=2

Step-by-step explanation:

because its equal to five

Please help, Been stuck for 20 minutes on this problem.

Answers

I solved for
this problem, hope it helps !

Marking brainliest! :p A TV is priced at $798.50. There is a 6% sales
tax rate. What is the sales tax for the
refrigerator in dollars and cents?

Answers

Answer:

1277.6

Step-by-step explanation:

798.50 x 0.6 = 479.1

798.50 + 479.1 = 1277.6

Mark Me Brainliest Please! ⭐

Ameen went to the salon and had 3/8 of an inch of hair cut off. The next day she went back and asked for another 1/2 of an inch to be cut off. How much hair did she have cut off in all? Write your answer as a fraction in simplest form

Answers

Answer:

Total hair cut off  = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Given - Ameen went to the salon and had [tex]\frac{3}{8}[/tex] of an inch of hair cut off. The next day she went back and asked for another [tex]\frac{1}{2}[/tex] of an inch to be cut off.

To find - How much hair did she have cut off in all?

Proof -

Given that,

Firstly,

She cut off her hair = [tex]\frac{3}{8}[/tex]

Then,

She cut off her hair = [tex]\frac{1}{2}[/tex]

So,

Total hair cut off = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{2}[/tex]

                           = [tex]\frac{3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]

⇒Total hair cut off  = [tex]\frac{7}{8}[/tex]

5+5?????????????????????????????????????????/

Answers

Answer:

Hello There!!

Step-by-step explanation:

Here is your answer:5+5 eqauls 10.

hope this helps,have a great day!!

~Pinky~

multiple choice pls help!
(Links = report )

Answers

Answer:

120 in² hope it helped lol

Michael breeds chickens and ducks.

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.
How much does a chicken cost, and how much does a duck cost?
A chicken costs $_____ and a duck costs $_____.

Answers

Answer:

Chicken:$8   Ducks:$5

Step-by-step explanation:

Let's assume

Chickens= c

Ducks=d

50c + 30d = 550 (divide this by 10)--- 5c+3d=55

44c + 36d = 532 (divide this by 4)--- 11c+9d=133

Solving simultaneously:

5c + 3d = 55 (x9)

11c + 9d = 133 (x3)

45c + 27d = 495

33c + 27d = 399

By subtraction we get:

(45c-33c+27d-27d)= 96

12c = 96

Chicken = $ 8 (96/12)

Ducks: 50(8)+ 30d = 550

30d = 150

Ducks = $5 (150/30)

A right triangle has one leg with a length of 1 inch. In addition, the length of the hypotenuse is 1.5 times greater than the length of the other leg. Determine the measurements of the acute angles in the right triangle.

Answers

Answer:

25.5 inches is the correct answer

Answer: 25.5 inches

6.
a rectangular room measuring 5.75m by 6.5 in to be covered by whole square tiles,
Calculate the size of each tile and the number of tiles required.
(3mks)

Answers

Answer:

Below.

Step-by-step explanation:

The dimensions are  5.75m * 6.5 m

= 575cm * 650 cm.

Finding the GCF:

575 = 5 * 5 * 23

650 = 5 * 5 * 26

- so t he Greatest Common Factor of these 2 is 25cm.

575 / 25 = 23

650 / 25 = 26.

So we need 23 tiles along the width of the room and the length will have 26 tiles.

Each tile with be 25cm * 25 cm. in size and the number of tiles = 23*26

= 598.

Find the length of AC, correct to 2 decimal places.

Answers

Hello!

This is a question relating trigonometry to unknown sides.

Here we can use the law of sines, which state that if a triangle is a right triangle, the ratio between a side and the sin of its opposite angle will be equal to any other ratio of the same type.

This means that we can set up this equation.

[tex]\frac{17}{sin(90)}=\frac{AC}{sin(38)}[/tex]

[tex]AC=17sin(38)[/tex]

Be sure to be on degrees if you're on a calculator.

[tex]AC=10.47[/tex]

Hope this helps!

what is the following product? 3sqrt4 times sqrt3​

Answers

Answer:

[tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}[/tex]

help asap please!!
Darryl and Ashley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Darryl sold 12 rolls of plain wrapping paper and two rolls of holiday wrapping paper for a total of $94. Ashley sold 13 rolls of plain wrapping paper and one roll of holiday wrapping paper for a total of $89. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

Answers

Answer:

Screenshot of work is uploaded.

Step-by-step explanation:

X-20=62 please Help thanks

Answers

Answer:

x = 85

Step-by-step explanation:

x - 20 = 62

add the 20 on both sides                          x - 20 = 62

                                                                        +20    +20

add 62+20 to get 85                                  x =  85

What is the probability of the spinner landing on a vowel?

Answers

So let's keep counting. There's already three, four, five, six, seven, eight. So there are eight total letters on the spinner. So the probability of getting a vowel from the spinner will be three out of the total eight. Hope this helps! Mark brainly please!

Answer:

What is the probability of getting a vowel (a success) for the spinner shown?

1/3

Suppose you spin the spinner 5 times. means “the probability of getting a vowel on exactly 3 of the spins.”

P(3 successes)

Compute P(3 successes) for 5 spins of the spinner

0.165

Step-by-step explanation:

edge 2022

A coach needs to choose two players from the
hockey team to be captain and assistant
captain. If there are 20 players on the team,
how many ways he can assign the two roles?
A. 100
B. 190
C. 380
D. 450

Answers

Answer:

380

Step-by-step explanation:

Your goal is to fill a right circular cylinder shaped bucket with water. The bucket has a radius of 6 inches and a height of 12 inches. If you use a right circular cone with a 3 inch radius and a 4 inch height, how many scoops of water will it take to fill the bucket ?

Answers

Answer:

36

Step-by-step explanation:

to answer this question :

determine the volume of the cylinder and the cone. Divide the volume of the cylinder by the volume of the cone

Volume of a cylinder = nr^2h

n = 22/7

r = radius = 6

h = height = 12

(22/7) x (6^2) x (12)  = 1357.71 in^3

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius = 3

h = height =

4

(1/3) x (22/7) x (3^2) x (4) = 37.71

1357.71 / 37.71 = 36 times

Could someone help me

Answers

9.85

Hope this Helps!

If x + sin^2 theta + cos^2 theta = 4, then what is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]x + sin^2 \theta + cos^2 \theta = 4 \\ x + 1 = 4 \\ ( \because \: sin^2 \theta + cos^2 \theta = 1) \\ x = 4 - 1 \\ x = 3[/tex]

You randomly choose a marble form a jar.The jar contains 4 red marbles , 10 blue marbles , 7 green marbles , and 6 yellow marbles.Find the probability of the event.

Choosing a green marble.

Answers

The probability is 7/27
Because you add all the marbles to find the total 10+7+6+4=27
And like its asking for green and there are 7 out of 27

If the nth term of a sequence is
4n + 3 what is the 6th term?​

Answers

Answer:

27 is the answer to the question

Step-by-step explanation:

4(6)+3=24+3=27

a) Expand and simplify the following expression.
x(4x – 5) – 2(x² - 4x + 6)

Answers

Answer:

[tex]2x^{2} - 12x -12[/tex]

Step-by-step explanation:

[tex]4x^{2} - 5x - 2x^{2} - 8x -12[/tex]

[tex]2x^{2} - 12x -12[/tex]

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14

A. 18.84

B. 28.26

C. 91.06

D. 113.04

Answers

Answer:

B. 28.26

Step-by-step explanation:


Which set of values makes the inequality n > -5 true?
А
{-5, -5.5,-6)
B
{-5, -4.5, -3)
Ć
(-6,0,5)
D
{-6, -7,-8}

Answers

Answer:

the answer is c :)

Step-by-step explanation:

What are the solutions to the equation?

x=-6 and x= -2/3

x=-6 and x=2/3

x=6 and x=2/3

Answers

Answer:A

I just took assignment on edge.

Answer: x=-6 and x= -2/3

Bob order 151/2 pound of cherrys fron the farm,this year they want to order 1 1/4 more pound but then 2/5 of the order they want blue berrys what is the percent

Answers

Answer:

Percentage of cherries    = 60 %

Percentage of berries  = 40 %

Step-by-step explanation:

He orders  15 1/2 pounds every year.

He wants more=  1 1/4 pounds

So the total pounds = 15 1/2 + 1 1/4

                                 = 15 + 1 + 1/2 + 1/4

                                 = 16 + (2+1)/4

                                  =   16 + 3/4

                                  = 16 3/4 pounds

Out of 16  3/4 pounds they want 2/5 part to be of blue berries.

So blue berries = 16 3/4 * ( 2/5)

                          = 67/4 * ( 2/5)

                            = 67/10 = 6 7/10 pounds

Amount of cherries= 16  3/4- 6 7/10

                                 = 10 3/4- 7/10

                                  = 10 (15- 14)/20

                                   = 10 1/20 pounds

Percentage of cherries = Amount of cherries/ Total amount * 100

                                      = 201/20 / 67/4 *100

                                         = 201/20 * 4/67 *100

                                         = 201/335 *100

                                          = 60 %

Percentage of berries = 100- 60 = 40 %

hey i just need an answer and possibly a step by step thanks !!!

Answers

Answer: 1517.54

Step-by-step explanation:

So we can divide solving this question into two parts: the 2% compound interest and the 5% compound interest.

We know that the compound interest equations is A = P(1+r/n)^nt where:

A is final amount

P is principal (initial) amount

r is interest rate

n is number times interest compounded

t is number of time periods

Given this, in the 2% compound we know:

A = ?

P = 1200

r = 2%

n = 1 (because it didn't say how many times compounded so we assume 1)

t = 2

This becomes:

A = 1200 (1 + (0.02/1))^ 1 * 2

A = 1248.48

Because we switching to 5% from 2%, we can assume that the final amount from the 2% will be the initial amount in the 5%. Thus:

A = ?

P = 1248.48

r = 5%

n = 1

t = 4 (because there were 6 years in total and we used 2 years for 2%)

This becomes:

A = 1248.48 (1 + (0.05/1))^ 1 * 4

A = 1517.54

2x - 42 = 94

Solve for x

Answers

Answer:

x = 68

Step-by-step explanation:

2x - 42 = 94

Use inverse operations to add 42 to both sides of the equation.

2x - 42 + 42 = 94 + 42

Simplify this to-

2x = 136

Now divide 2x and 136 by two for-

2x/2 = 136/2

Simplify.

x = 68

The answer, then, is x = 68.

I hope this helps ^^

Good luck :]

3. What kind of angle is this?
Right Angle
Straight Angle
Obtuse Angle
Accute Anglw

Answers

Answer:

That's acute angle

Right angle is exactly 90 degrees

straight Angle is exactly 180

obtuse angle is greater than 90 degrees and less than 180 degrees

acute angle is less than 90 degrees

please help asap:)))

Answers

Answer:

Step-by-step explanation:

Yes, We can find the cost of one admission to the water park,

We can form two linear equation with two variables and by solving the equation we can determine the cost of one admission.

Cost of 15 people's admission and 8 rental tube  is $ 263.25

15x  + 8y = 263.25  -------------(I)

Cost of 20 people's admission and 13 rental tubes is $ 358

20x + 13y = 358  ------------(II)

(I) * 13        195x + 104y = 3422.25

(II)*(-8)     -160x - 104y  = - 2864   {Now add and so y will be eliminated}

                35x               = 558.25

                                  x = 558.25/35

x = 15.95

Cost of one admission = $ 15.95

Other Questions
Why does Elizabeth think that "it should be her privilege to know what the black veil conceal[s]," and why does Elizabeth's "calm energy" change to terror when she tries to persuade Mr. Hooper to remove the veil? Moreover, why does Hooper deny Elizabeth's request and choose to remain behind his black veil, when he could remove the veil and marry Elizabeth instead? Identify patterns reread lines 6-7 what sound device is used in these lines and what effect does it have Q 9.20: City Mission is a not-for-profit organization that provides hot meals, living quarters, and showers for homeless people. Based on their yearly budget, they expect to spend $450,000 on food expenses, $350,000 on housing expenses, $280,000 on staff salaries, $90,000 on utilities, and $118,000 on other expenses. How much will City Mission need to raise in donations What should we find in order to determine how many square feet of plywood are needed to make a rectangular prism Discounting Cash Flows and Earnings. Under the residual income approach and the discounted cash flow approach to firm valuation, carnings and cash flows, respectively, are discounted using a firm's cost of equity. Discuss why the cost of equity is the appropriate discount rate to use to discount a firm's camings and cash flows. Why is the cost of debt inappropriate to use to discount a firm's earnings or cash flows oi oi oi oi Read the excerpt from Heart of a Samurai and then answer the question.The strangers leaped out of their boats and pulled them up on the small beach. By signs, they made it clear the castaways should climb aboard.The fishermen exchanged frightened glances and whispered to one another,What about Denzo and Jusuke?Gesturing, Manjiro communicated to the strangers about the two men in the cave. Denzo and Jusuke were retrieved, both of them so weak they had to be carried to the boats. Everyone found a place and the sailors shoved off. The two boats rowed away from the island toward an unknown future.The sun flickered on the restless waves just as it always did. The wind blew just as steadily as it always had. Yet everything had changed. They had been rescued from the island, only to be taken captive by barbarians.Manjiro stared at the strangers when he thought they werent looking. Sometimes he caught them staring at him when they thought he wasnt looking.What do the details in this excerpt help readers to infer about the barbarians?They are just as mean and monstrous as the fishermen expect them to be.They are suspicious creatures who seem to be from a place other than Earth.They have a plan to humiliate the fishermen and are waiting for the right time.They are just as curious about the fishermen as the fishermen are about them. Find the length of the third side. If necessary, round to the nearest tenth.159 please help asap ill give brainliest it's due in 30 min help me please NOWWW RearrangeC=d+2/3to make d the subject. a particle is projected from a point a with a velocity of 21m/s at an angle of 53.1 degees to the horizontal. one second later another particle is projected at a point 0.3m below a with initial velocity of 31.5m/s at an angle of 36.9 degrees to the horizontal. (i) prove that the particles collide(ii) find the time of collision(iii) find the distance of collision from point of projection The General Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 2.98 with a standard deviation of 2.66. Assume that in a sample of 40 teenagers, the sample standard deviation of daily TV time is 1.9 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers is less than 2.66 Look at the table below and answer the questions based on the information providedElisaXavierMateoVictorMYAnswer the questions by writing E for Elisa, X for Xavier, M for Mateo or V for Victor1.A quin le gusta ir de compras? 9.Quin va a la fiesta?2.A quin le gusta jugar al ftbol? 10Quin va a la heladera?3.A quin le gusta jugar al ajedrez? 11. Quin va a las montaas?4.A quin le gusta levantar pesas? 12. Quin va a ver una pelcula?5.A quin le gusta jugar al baloncesto? 13. Quin va a la biblioteca?6.A quin le gusta nadar en la piscina? 14. Quin va al partido de tenis?7. A quin le gusta jugar al bisbol? 15. Quin va a la iglesia?8. A quin le gusta ir de pesca? 16. Quin va a la playa? Look at the following picture and check all the correct statements.A. Les vtements sont en solde!B. Il y a un vendeur.C. C'est le rayon femmes.D. Les vtements cotent chers!E. Il y a une vendeuse. Can someone please help!! Im stuck on this question 2. Analyzing Why was the inspector unable to impose the penalty he asked for? What does the court's decision suggest about the importance of factory owners and manufacturing? 1) Matthew can run 1/5 of a mile in 1/3 of an hour. What is the unit rate? Why might women's rights leaders have also supported ending slavery? Please watch the following clip and write a paragraph about what youve watched. Video Clip: Broadway Center Stage: In the Heights | The Kennedy Center A nuclear power plant is used to generate:steamsolar energyheat energyelectricity