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

Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?​

Answers

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

bhyrhyhybtrhthvtt

Solve for x and y simultaneously in

Answers

Answer:

forgot to add a pic

Step-by-step explanation:

Which survey question is unbiased?
O A. "Do you think we should allow them to cut down the trees and pave over the grass for the new playground?"
B. "Which do you prefer with a meal-water, or a syrupy sweet soft drink?"
C. "Should there be a school dress code?"
D. "Do you prefer bringing a healthy lunch to school or eating cafeteria food?"

Answers

Answer:

Should be a dress code i hope this helps god bless you all

Step-by-step explanation:

Which equation shows how to find the
angle measure of the part of the circle
without the arrow?

Answers

C is the answer to your question

write 3^n/9^(n-1) as a power of 3​

Answers

The correct answer is 3^(2 - n)

Jake ran a full marathons of 26 miles. His average speed was 6 miles per hour. About how long did it take him to cross the finish line?

Answers

Answer:

Step-by-step explanation:

273m

Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.

f(x) = -2x2 + 32x - 126

Answers

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

What is the measure of each angle of a regular 26-gon?

Answers

Answer:

Angle of Regular polygon = 166.15° (Approx.)

Step-by-step explanation:

Given:

Regular polygon with 26 sides

Find:

Measure of each angle of Regular polygon

Computation:

Angle of Regular polygon = [(n-2)180] / n

where n = number of sides

Angle of Regular polygon = [(26-2)180] / 26

Angle of Regular polygon = [(24)180] / 26

Angle of Regular polygon = [4,320] / 26

Angle of Regular polygon = 166.15° (Approx.)

What figure can be made using the net shown?

a triangular prism
a rectangular prism
a triangular pyramid
a rectangular pyramid

Answer:
A rectangular pyramid

Answers

Answer:

rectangular pyramid

Step-by-step explanation:

just took the test

The figure can be made using the net shown is a rectangular pyramid.

What is Difference between Pyramid and Prism?

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

Pyramids and prisms are both three-dimensional solids with flat faces and bases.

Yet, a pyramid only has one base, whereas a prism has two bases that are identical.

Here, the base is rectangular then the figure shows A rectangular pyramid.

Learn more about Prism and Pyramid here:

https://brainly.com/question/1558408

#SPJ5

Simplify the expression: 15i ⋅ 4i

Answers

Answer:

I think the answer is 11i

there is the correct answer.

What is the angle of rotation of the figure?
A. 30°
B. 60°
C. 72
D. 120

Answers

Answer:

b

Step-by-step explanation:

Answer:

i would say A

Step-by-step explanation:

cause it looks like its only slitly rotated

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options

Answers

What’s the options ?

6>w/-2 solve the inequalities

Answers

Answer:

w>-12

Step-by-step explanation:

6>w/-2 (Given)

6>-w/2 (Rewrite)

12>-w (Multiply both sides by 2)

-12<w (Remember to flip the sign when dividing or mulitplying by a negative)

w>-12 (Rewrite with w in front)

Therefore, w>-12 is the solution to the inequality.

Answer:

w>-12

Step-by-step explanation:

First, you you need to get rid of the -2 in w/-2 by multiplying -2 by both sides like this.

(-2)6>w/-2(-2)

Then you simplify it like this:

-12>w

However, since you multiplied/divided with a negative, you switch the inequality sign like this:

w>-12

And that's the answer!

63/4 divided by 41/2

Answers

Answer:

63/328

Step-by-step explanation:


Which is closest to the length of AB?
A. 3.5 in.
B. 2.9 in.
C. 2.4 in.
D 1.4 in

Answers

Answer:

gohdsyuufdyiikkjhfddyiooufddtuiokhfd

write an equation for the nth term of the arithmetic sequence. Then find a40.

1/4,1/2,3/4,1,...​

Answers

Answer:

The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

1/4,1/2

This means that:

[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]

1/4

This means that [tex]a_1 = \frac{1}{4}[/tex]

The nth term is:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

Then find a40.

[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]

So

a40 = 10

TIMED WILL GIVE BRAINLEIST HELPPPPPPPPPPPP

Answers

Answer:

3.13π

Step-by-step explanation:

One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:

Diameter is half the radius, so the radius is 5ft.

Area of a circle  = π(radius)²

=5²π

=25π.

We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π

Can someone please help.

Answers

Answer:

26 degrees :)

Step-by-step explanation:

Yeah it’s 26 degrees

Please help! Tell the numbers that I have to add to demostrate the answer

Answers

Answer:

I am not sure what you mean but the answer is  

Step-by-step explanation:

                                       

If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.

Answers

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp

Answers

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

ANSWER THE QUESTION FOR BRAINLIEST

Answers

The graph is decreasing at one rate and then decreasing at another rate (B)

Find the shorter base of a trapezoid if the trapezoid's area is 52, its altitude is 8, and its longer basis 10.

Answers

Answer:

The shorter base is 3

Step-by-step explanation:

[tex]a = \frac{(b1 + b2)}{2} \times h[/tex]

[tex]52 = \frac{(10 + b2)}{2} \times 8[/tex]

[tex]b2 = 3[/tex]

What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)

Answers

I think the answer is A, but im sorry if its wrong

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

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Brainliest is greatly appreciated!

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

4≤n−4. a little help?

Answers

Answer:

Just isolate the variable by performing inverse operations. Its like solving an equation but the sign is different.

Step-by-step explanation:

Well add 4 to both sides

8≤n

Thats basically it

Answer:

n ≥ 8

Step-by-step explanation:

We want to isolate n to solve the inequality. To do that, you add 4 to both sides, so 4 + 4 = 8 on the left and n - 4 + 4 = n on the right. That leaves you with 8 ≤ n, or n ≥ 8.

The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?
Question 2 options:

16

40

46

52

Answers

Answer:

A) 16

Step-by-step explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.


You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

simplify the expression: 1-sin^2x/secx

Answers

Answer:

cos (x)

Step-by-step explanation:

how to find selling price when cost price and profit is given​

Answers

so the selling price is pretty much the cost price + the profit

so its

selling price = cost price + profit

5.6(x - 3) = -0.4x + 19.2

Answers

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

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