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

Find the x- and y-intercepts of the graph of x + 3y = 33. State your answers as
whole numbers or as improper fractions in simplest form.

Answers

Answer:

x intercept is (33,0)

y intercept is (0, 11)

Step-by-step explanation:

x-intercepts are found when y=0

x + 3(0)=33,,, x=33

y-intercepts are found when x=0

0 + 3y= 33,,, y=11

What is the area of rectangle PQRS?



A.
20.25 square inches
B.
21.375 square inches
C.
27.00 square inches
D.
42.75 square inches

Answers

Answer:

D

Step-by-step explanation:

(4.5+3+2) x4.5 = 42.75

hope this helps

Answer:

D. 42.75 square inches

Step-by-step explanation:

Area = height x width

Height = 4.5 inches

Width = 3 + 4.5 + 2 = 9.5 inches

4.5 x 9.5 = 42.75 square inches

im crying please help me so much

Answers

Answer:

A and D

Step-by-step explanation:

A shoe box has a volume of 693 cubic inches. The area of the base of the shoe box is 126 square inches. What is the height of the shoe box in inches?

Answers

Answer: 5.5

volume formula:

v = bh

693 = 126h

h = 5.5

Find the value of x that makes A || B.
1
2
B
4
3
5
L2 = 3x – 10 and Z3 = x + 30
x = [ ? ]

Answers

Answer:

x=20

Step-by-step explanation:

3x-10=x+30

2x-10=30

2x=40

x=20

Answer:

X=20

Step-by-step explanation:

So their alternate interior angle which is equal

3x-10=x+30

Solve and you would get 20

write each of the following expression without using absolute value.
|6m-54|, if m<9

Answers

9514 1404 393

Answer:

  54 -6m

Step-by-step explanation:

For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...

  -(6m -54) = 54 -6m

What is r?

r = one-third
r = 3
r = two-thirds
r = one-half

Answers

Answer:

what is the equation.

Step-by-step explanation:

comment the equation

Answer:

r = r

 -incomplete

Step-by-step explanation:

since there is no equation or no limitations along with the question, i cannot say what r can be, if there is an equation or additional info I can better tell you, but rn, r literally is equal to all of those answers


[tex] \frac{x}{ \sqrt[5]{y} {}^{} {7} } [/tex]

Answers

Answer:

Step-by-step explanation:

Can someone please help me please

Answers

Your answer would be 5

Answer:

5

Step-by-step explanation:

hi can you please help me with my work and please no Link please no Link please​

Answers

Answer:

The second one, -11/12

Step-by-step explanation:

I used a website so sorry I don't have an explanation

Which expression represents the perimeter of the of the figure below?

Answers

Answer:

10x - 20

Step-by-step explanation:

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you assuming some things. First of all, for a two dimensional shape, the perimeter is defined as the distance around it. Suppose we have a rectangle whose dimensions are:

Find the x-intercept of y = -x - 20

Answers

Answer:

(-20, 0)

Step-by-step explanation:

to find x intercept we have to substitute 0 into y and solve for x

0 = -x - 20

rewriting the equation

-x - 20= 0

-x = 20

The National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2626 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.)

Answers

Answer:

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year    

(0.47228 , 0.49868)

Step-by-step explanation:

Step(i):-

Given that the National Center for Health Statistics interviewed 5409 adult smokers in 2015

and 2626 of them said they had tried to quit smoking during the past year

proportion

                            [tex]P = \frac{x}{n} = \frac{2626}{5409} =0.48548[/tex]

                          Q = 1-P = 1 - 0.48548 = 0.5146

Step(ii):-

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year      

[tex](P - Z_{\alpha } \sqrt{\frac{PQ}{n} } , P+ Z_{\alpha } \sqrt{\frac{PQ}{n} } )[/tex]      

[tex](0.48548 - 1.96 \sqrt{\frac{0.48548 X 0.51452}{5409} } , 0.48548+ 1.96\sqrt{\frac{0.48548 X 0.51452}{5409} } )[/tex]

( 0.48548 - 0.0132 , 0.48548 +0.0132)

(0.47228 , 0.49868)

Final answer:-

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year    

(0.47228 , 0.49868)

Which is equivalent to 12^0?

Answers

Answer:

the answer is 1

Step-by-step explanation:

I hope this was helpful

Answer is 0!!!

When we raise a number to the zeroth power, that means we multiply itself 0 times. You’re not multiplying anything at all. 0 is the only number such that for any number x,x+0=x

help with this it is so hard

Answers

Answer:

its 4.8

Step-by-step explanation:

i divided 7.5 by 12.5 and got 0.6 and added 4.2 and got 4.8

Answer:

here is your answerrrrrrrrrrr

Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0

Answers

Answer:

The Identity Property of Zero, also called the Additive Identity Property, states that if you add 0 to any number, the result will be that number. Likewise, if you subtract 0 from any number, the result will be that number. Believe it or not, this works for all real numbers.

Step-by-step explanation:

Find the area please..........................................

Answers

Answer:

Should be 216

Step-by-step explanation:

An online retailer wants to study whether more lenient return policies increase purchasing behaviors. They
select a random sample of 2000 customers who have made purchases in the past year.
They use a random number generator to select 1000 customer account numbers to assign to the treatment
group. The remaining 1000 customers are assigned to the control group.
What type of experiment design is this?

A) randomized block
B) stratified
C) completely randomized
D) marched pairs
E) cluster

Answers

Answer: Completely Randomized

Step-by-step explanation:

effect of one primary factor rather than many different variables

As per the question the retailer wants to study the return policy that can increase the buying behavior and selects a random sample of 2000.

He uses matched pair of designs in his experiment design in which participants of the same traits get grouped in pairs.   After which within each pair, one participant gets randomly allotted to either the treatment, and the other is assigned to the other part.

Hence the option D is correct.

Learn more about the study whether more.

brainly.com/question/14894261.

I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have?


Willie Buggs Jr

Answers

Answer: You have $800.

Step-by-step explanation:

A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?

Answers

Answer:

$7.33

Step-by-step explanation:

22=3/4x

22/.75=22*4/3=29.3333333

$29.33-$22=$7.33

A discounted from the original price of the Blu-ray disc will be $5.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Cost of a Blu-ray disc = $22

The sale on the cost of a Blu- ray = 25%

Now,

Find the discounted price of a Blu-ray as;

Discounted price = 25% of $22

                           = 25 x $22 / 100

                           = $550/100

                           = $5.5

Thus, A discounted from the original price of the Blu-ray disc will be $5.5.

Learn more about the percentage visit:

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Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans what fraction of the bag did Craig fill with beans

Answers

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

24:10 simplified Ratio HELP

Answers

I went and found out the answer was 12/5

Answer:

12:5 is the simplified ratio. Couldn't answer before but here lol

Find the value of x to the nearest degree.
A. 58
B. 52
C. 38
D. 32

Answers

Answer:

52⁰

Step-by-step explanation:

Cos x⁰ = adjacent/hypotenus

Cos x⁰ = 8/13

Cos x⁰ = 0.615

x⁰ = cos^-1 (0.615)

x⁰ = 52⁰

Help mark brainlist

Answers

Answer:

741.415866247

Step-by-step explanation:

Solve m/8<4. Graph the solution.

Answers

m < 32

open circle to the left

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

18m < 4

Step 2: Multiply both sides by 8.

8 (1/8m) < (8)(4)

m < 32

A play was attended by 348 people,some adults and some children. Admissions for adults was $1.50 and for children 75 cents. The total amount collected was $390. How many adults attended the play?

Answers

Answer:

172

Step-by-step explanation:

Let adults be x

and children be y

According to the problem,

x + y = 348              . . . (1)

1.5x + 0.75y = $390. . . (2)

From Eq 1, find the value of x:

x = 348 - y

Put this value in Eq 2:

1.5 ( 348 - y ) + 0.75y = 390

522 - 1.5y + 0.75 y = 390

-1.5y + 0.75y = 390 - 522

-0.75y = -132

y= -132/-0.75

y = 176

Put the value of y in Eq 1

x  + 176 = 348

x = 348 -1 176

x = 172

No. of children = 176

No. of adults = 172

Help for 20 points please

Answers

I think that the answers to this question is going to be B

Answer:

The Answer is 12 - 15= 129

Step-by-step explanation:

x2−15=129

Step 1: Add 15 to both sides.

x2−15+15=129+15

x2=144

Step 2: Take square root.

x=±√144

x=12

A DVD player costs a store $185 to purchase from the manufacturer. They mark the price of the DVD player up by 20% for profit. How much do they charge for the DVD player?

Answers

Answer:

$222

Step-by-step explanation:

$185 x 1.2 = $222

Answer:

222

Step-by-step explanation:

Hi! So marking up means to raise the price or increase it.

185 is the whole, a whole is 100

and we need to raise it by 20% so add these two together to get 120%, turn this into a decimal  is 1.2, now to find and increase we multiply it by the original price.

1.2 x 185 = 222

Very sorry if it is wrong.

Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?

Answers

The value of h -j is -5.

We have the function, f(x) = x² -4x + 8

Now, vertex

h = x = -b/2a

h = x = -(-4) / (-2)

h = x = -4/2

h= x = -2

Now, according to the graph

j = x= 3

So, h - j

= -2 - 3

= -5

Learn more about Function here:

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Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?

Answers

Answer:

24 gallons

Step-by-step explanation:

set up a proportion and cross-multiply:

g = # gallons

192/4 = g/0.5*

4g = 96

g = 24

*30 minutes = 0.5 hours

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