which statements are true about the trigonometric ratios of this triangle​

Which Statements Are True About The Trigonometric Ratios Of This Triangle

Answers

Answer 1

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(30°) = [tex]\frac{AC}{AB}[/tex]

              = [tex]\frac{11\sqrt{3} }{22}[/tex]

              = [tex]\frac{\sqrt{3}}{2}[/tex]

sin(30°) = [tex]\frac{BC}{AB}[/tex]

             = [tex]\frac{11}{22}[/tex]

             = [tex]\frac{1}{2}[/tex]

cos(60°) = [tex]\frac{BC}{AB}[/tex]

              = [tex]\frac{11}{22}[/tex]

              = [tex]\frac{1}{2}[/tex]

sin(60°) = = [tex]\frac{AC}{AB}[/tex]

              = [tex]\frac{11\sqrt{3} }{22}[/tex]

              = [tex]\frac{\sqrt{3}}{2}[/tex]

Options (1), (2), (3) and (4) are the correct options.


Related Questions

What is the surface area of a rectangular prism that is 4 inches long, 5 inches wide, and 8 inches tall?

Answers

Answer:

160

Step-by-step explanation:

4x5=20.

20×8=160

l×w×h.

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

c. 143.8 m³

Step-by-step explanation:

The figure can be decomposed into a semicircle and a trapezoid

Area = area of semicircle + area of trapezoid

= ½(πr²) + ½(a + b)h

Where,

r = ½(9) = 4.5 m

a = 9 m

b = 23 m

h = 7 m

Area of the figure = ½(π*4.5²) + ½(9 + 23)7

Area of the figure = 31.81 + 112

= 143.8 m³

In ΔSTU, u = 890 cm, t = 810 cm and ∠T=38°. Find all possible values of ∠U, to the nearest degree.

Answers

Answer:

Answer: 43  and 137  

Step-by-step explanation:

Delta math ez

find the value of x in the Triangle shown below x=?​

Answers

Answer:

x = 66°

Step-by-step explanation:

unmarked angle = x because it is an isosceles triangle.

The sum of all three interior angles of any triangle = 180°

So:

2x + 58° = 180°

2x = 122°

x = 66°

solve the system for x and y -3x+8y=103 -5x-8y=-255

Answers

9514 1404 393

Answer:

  (x, y) = (19, 20)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (-3x +8y) +(-5x -8y) = (103) +(-255)

  -8x = -152

  x = 19 . . . . . . . divide by -8

Substituting into the first equation, we have ...

  -3(19) +8y = 103

  8y = 160

  y = 20

The solution is (x, y) = (19, 20).

What integer is the opposite of 32 degrees Celsius below zero?

Answers

Answer:

-32?

Step-by-step explanation:

1.What should be the c-value in the equation shown below if the equation is a perfect square trinomial

Answers

Answer:

64

Step-by-step explanation:

a² + 2ab + b²

→ Identify the value of a

a = 1

→ Find b using a

-16 ÷ ( 2 × 1 ) = -8

→ Square the b term

( - 8 )² = 64

An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far does she throw the javelin in total? No links

Answers

The answer is 18.5 yd

Answer:

19 yards

Step-by-step explanation:

Because 9 + 9 is 18 and .5 + .5 is 10 which would equal 19 yards

So the athlete threw 19 yards. Its basically like 9 x 9 = 18 + .10 =

Hope this helps

1. What is greater? 6 pounds and 11 ounces OR 117 ounces? 2. 3/4 tons = how many pounds? (Answer the ones u know!) pls help due in 4 mins

Answers

Answer:

1. Equal. 2. 1500

Step-by-step explanation:

6 x 16 = 96 + 11= 117

3/4 x 2000 = 1500

I need help quickly. Please help.

Answers

Answer:

Mean:

= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7

= 63 / 7

= 9 (The sum of the numbers divided by the number of numbers)

Median:

= 4, 6, 8, 9, 11, 12, 13

= 9 (The middle number of a list from least to greatest)

Mode:

= NONE (The number that appears the most in a given list)

using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors. ​

Answers

Answer:

See below

Step-by-step explanation:

Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:

(ax+p)(x+q) where p+q=b and pq=c

Eli is feeling gift bags each bag will have three baseball cards which number sentence could either used to find how many bags he can fill if he has 21 cars

Answers

Answer:

7

Step-by-step explanation:

if he has to be 3 in each baseball card and has 21 cards then you would divide 21 by 3 and get 7 which is your answer.

A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST

Answers

Bro I’m rly sorry but I don’t know the answer to this

1. Given sin B = 5/13 in QII, and (6.-8) is on the terminal side of a find the exact value of
sin(a + b).

Answers

Answer:

Step-by-step explanation:

that's difficult dude I'm just in grade 4

Raquel has to fill-up 5 volleyball with air. Each ball has a radius of 4.5 inches. What is the volume of the 5 volleyballs all together?

WILL MARK BRAINLEST!!

Answers

Answer:

Mate just divide 5 by 4.5 and you got your answer (1.11)

Step-by-step explanation:

If you see any question that has each in its name then its a division question.

What are the dimensions and maximum area for a rectangular carpet that has a perimeter of 56 ft?

Answers

Answer:

Step-by-step explanation:

It's a square, 14 by 14 feet.

Dude that guy up top is right completely:)

What is the angle of X​

Answers

Answer:

∡x°=35°

Step-by-step explanation:

x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°

Question 9
A room is 16 feet in length. The ratio of the width to the length is 3:4.
What is the width in feet?

Answers

4 feet

Because 16/4 is 4

Sally weights 15 7/10 pounds cocoa weights 13 3/5 pounds how much more does sally weigh than cocoa

A.1/10
B.4/5
C. 2 1/10
D. 2 4/5

Answers

Answer:

C. 2 1/10

Step-by-step explanation:

15 7/10-13 3/5= 15 7/10 - 13 6/10=

2 1/10

I think the answer is C

$600 invested at 5% compounded daily after a period of 3 years.

Answers

Answer:

$697.09

Step-by-step explanation:

The computation of the investment after 3 years is shown below:

As we know that

Amount = Present value × (1 + rate)^number of years

= $600 × (1 + 0.05 ÷ 365)^365× 3

= $697.09

Hence, the investment after 3 years is $697.09

We simply used the above formula to determine the investment

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

I believe the answer is $ 231.00.

Step-by-step explanation:

I might be wrong, but please don't hate me if I am!!

First I found the sales tax of the nice running shoes by multiplying the price of the shoes by the sales tax:

216 * 6.5% = 14.04

Then I added the sales tax to the price of the nice running shoes:

$ 216 + $ 14.04 = $ 230.04

Since Jim doesn't have any change and can only pay in cash, you would round $ 230.04 to the nearest dollar:

$ 230.04 is rounded to $ 231.00 :D

My cousin needs help with this question.

Answers

I believe the answer is 3

Answer:

3 feet per minute

Step-by-step explanation:

Look at an easy to read point on a grid line intersection.

Then find the slope. Slope = constant of proportionality.

For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.

(6 ft)/(2 sec) = 3 feet per minute

Answer: 3 feet per minute

Solve the following triangle using either the law of sines or the law of cosines b=6 , c=12, A=48°

Answers

9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

What is 2 1/2+3 1/3 pretty please help I need this answer fast

Answers

Answer:

D. 5 5/6

Step-by-step explanation:

2 1/2 + 3 1/3

= [tex]\frac{5}{2}[/tex] + [tex]\frac{10}{3}[/tex]

= [tex]\frac{15 + 20}{6}[/tex]

= [tex]\frac{35}{6}[/tex] = 5 5/6

Answer:

5 1/3

Step-by-step explanation:  i am pretty sure

Which is typically the only way to purchase a car and receive

a warranty? a. Dealership

b. Auction

c. Used Car lot d. Private Seller.

Answers

the answer is
a. Dealership

how can you use the multiplicative inverse to solve division problems?
(best answer gets brainliest)

Answers

Answer:

Hello, the multiplicative inverse is just another name for reciprocal. You can use this type of method when dividing fractions like:

1/2/3/5

You use the method known as kfc, keep, flip, change like this:

1/2 x 5/3

Notice how 1/2 is kept the same, the division sign is now a multiplying sign, and 3/5 is flipped.

And then you just answer it from there and you get 5/6

Step-by-step explanation:

I hope this helped you!

ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

b

Step-by-step explanation:

both functions are decreasing because the slope is negative :)

Answer: Function I equals 3 and Function II equals 1 and 5 over 7. Different y intercept , with a neutral slope, the functions slope are decreasing

Your experience indicates that offering a discount in your emails increases responses by 75%. Your last email, without a discount, you got 19,000 responses. If you mail to the same size list and offer a discount, how many responses would you expect?

Answers

Answer:

33250

Step-by-step explanation:

Find 1%

100% = 19000

1% = 19000 ÷ 100 = 190

100% + 75% = 175%

175% = 190 x 175 = 33250

Mr. Jones has $410,000 in a retirement account that earns 3.85% simple interest each year. Find the amount of interest earned by this investment if it is in there for 5 years. *

Answers

Answer:

Amount of interest earned = $78,925

Step-by-step explanation:

Given:

Amount deposit = $410,000

Rate of interest = 3.85% = 0.0385

Number of year = 5 year

Find:

Amount of interest earned

Computation:

Using simple interest formula

Amount of interest earned = Amount deposit x Rate of interest  x Number of year

Amount of interest earned = 410,000 x 0.0385 x 5

Amount of interest earned = $78,925

what does a value of 8 in 589310 compare yo the value of the 8 ine 598301​

Answers

Answer:

10

Step-by-step explanation:

It is 10 times as much

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