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

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!

Answer:

Screenshot of work is uploaded.

Step-by-step explanation:

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

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 %

Answer:

25.5 inches is the correct answer

Answer:

1277.6

Step-by-step explanation:

798.50 x 0.6 = 479.1

798.50 + 479.1 = 1277.6

Mark Me Brainliest Please! ⭐

Answer:A

I just took assignment on edge.

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

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.

Answer:

27 is the answer to the question

Step-by-step explanation:

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

Answer:

the answer is c :)

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

Here is your answer:5+5 eqauls 10.

hope this helps,have a great day!!

~Pinky~

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]

Answer:

120 in² hope it helped lol

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:

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

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

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

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]

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 :]

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

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)

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

Answer:

380

Step-by-step explanation:

Answer:

answer c p=2

Step-by-step explanation:

because its equal to five

Answer:

36

Step-by-step explanation:

to answer this question :

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

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]

Answer:

B. 28.26

Step-by-step explanation: