find sine or cosine using identity

Find Sine Or Cosine Using Identity

Answers

Answer 1

Answer:

sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]

Step-by-step explanation:

cos(theta) = [tex]\frac{x}{r}[/tex]

cos(theta) = [tex]\frac{3}{4}[/tex]

so x = 3 , r = 4 , and y =?

Pythagorean Theorem: x^2 +y^2 = r^2 or a^2 +b^2 = c^2

x^2 +y^2 = r^2

(3)^2 +y^2 = (4)^2

9 + y^2 = 16

y^2 = 7

[tex]y=\sqrt{7},-\sqrt{7}[/tex]

In Quadrant 1, so its only [tex]y=\sqrt{7}[/tex].

sin(theta) = [tex]\frac{y}{r}[/tex]

sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]


Related Questions

PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER

You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.

Answers

The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore, the hypotenuse side is the bridge length.

c² = a² + b²

where

c = hypotenusea and b are the other legs

Hence,

c² = 1170² + 520²

c² = 1368900 + 270400

c = √1639300

c = 1280.35151423

The bridge is the prefered option when the cost is within $1500. Therefore,

cost of the bridge = 11 × 1280.35151423 = $14083.87

Therefore, the bridge is not the prefered option

learn more on right triangle here: https://brainly.com/question/27309330

Please help me with this problem!!

Answers

Answer:

ok this is at first hard but during time you should use math genie helps you and has grade levels

Step-by-step explanation:

Why 10^33/2=5*10^32? Explain, pls. :(

Answers

Answer:

see below

Step-by-step explanation:

10^33/2

Rewriting the numerator as 10 * 10 ^ 32

10 * 10 ^32

--------------------

2

10/2 = 5

5 * 10 ^32

Therefore

10^33/2=5*10^32


Is the graphed function linear?
Yes, because each input value corresponds to
exactly one output value.
Yes, because the outputs increase as the inputs
increase
O No, because the graph is not continuous.
No, because the curve indicates that the rate of
change is not constant

Answers

Answer:

No Because the curve indicates that the rate of change is not constant!

Step-by-step explanation:

Linear functions are straight lines diagonally!

This function shows a rate of growth through time which isn't describing constant growth.

Constant = Linear

Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has
planned has a length that is 75 feet less than twice the width. What are the dimensions of the
yard?

Answers

Answer:

Length = 175

Width = 125

Step-by-step explanation:

P=2(L+W)

600ft=2(L+W)

300=L+W

300=2W-75ft+W

375=3W

125=W

L=2W-75

L=2(125)-75

L=250-75

L=175

Plsss help

Explain how the shapes shown have been sorted. ​

Answers

Answer:

A have no right angles and B had all right angles.

Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?

A.
There is exactly one solution.
B.
There is no solution.
C.
There are infinitely many solutions.
D.
The lines in a system cannot graph as the same line.

Answers

Answer:

C

Step-by-step explanation:

HELP ASAP

FIRST GET BRAINIEST

I LOVEEE ALL YALL !!!!

Answers

the last net, it's the only one with a rectangle and 4 triangels

Answer:

D

Step-by-step explanation:

Again all it takes is for you to image wat the shape would fold into.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Happy to help! :)

One number is 4 more than another number. If the greater number is x, what is the other number?

Answers

first number: x

second number: x -4


Select the correct answer.

Prontas Inc. has issued shares worth $1,000,000 to raise fund for its business. Which activity of the cash flow statement will recognize this
inflow of cash?


A non-operating activities

B. investing activities

C. operating activities

D. financing activities

Answers

Answer:

B. -- investing activities

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The difference between your income and your costs in a given time period is called which ?

1) liability

2) Cash-Flow Balance

3) Guaranteed Minimum

4) Cash cow

Please help thank you

Answers

Cash-flow balance is the answer

Tiffany had finished 78% of her homework. Write this amount as a decimal.



Could someone please help me!?

Answers

As a decimal 78% is 0.78!
78% as a decimal would be 0.78 :)

Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?

Answers

Answer:

(a) Since the upper limit of the 99% confidence interval is less than

Step-by-step explanation:

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.

Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Thus,

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

What is the image point of (-3,-5) after the transformation T2,1 o D2?

Answers

Let's assume point (-3,-5) is Point P.

Step 1: Translate point P(-3,-5) to P' (2 units right and 1 unit up).

Do the translation first and Dilation later.
Translation rule is:
T(2,1)
P(x,y) -------------------> P'(x+2,y+1)

T(2,,1)
P(-3,-5) ------------------->P'(-3+2,-5+1) = P'(-1,-4)

Step 2: Dilation 2 times. Dilate point P' to P" (2 times)

Dilation rule is:
D(2)
P'(x,y) -------------------> P"(x.2,y.1)

D(2)
P'(-1,-4) ------------------->P"(-2,-8)

Answer : Point (-2,-8)

Omar paid $23.60 for 29.5 centimeters of wire. Find unit price in dollars per centimeter

Answers

Answer:

$0.80

Step-by-step explanation:

$23.60 divided by 29.5cm = $0.80 per cm.

PLEASE HELP FOR BRAINLIEST, I'M DOING A TESTTT.

Find the area of the triangle below.
Be sure to include the CORRECT UNIT in your answer.

Answers

Answer:

the answer is 60 yards for the triangle

Question The population of North Dakota was about 672,000 in 2010. The population is projected to be about 630,000 in 2020. Find the percent decrease of the population of North Dakota. (Round to the nearest tenth of a percent.)​

Answers

Answer: 6.25%

Step-by-step explanation:

Percent Decrease = ( ( Starting Value - Final Value ) / Starting Value ) * 100

So 672,000-630000 = 42,000

42,000 / 672,00 = 0.0625

Finally multiply by 100 soooooo 0.0625 * 100 = 6.25%

solve for x ~
[tex]{x {}^{2} - 4x = 0}[/tex]
★ list all the possible values ~

thankyou ~​

Answers

Answer:

x = 0,4

Step-by-step explanation:

Given

x² - 4x = 0

Simplifying

Take x to be a common factor so we'll have 2 factors⇒ x(x - 4) = 0⇒ x = 0 and x = 4⇒ x = 0,4

Answer:

All values of x are 0 and 4 .

Step-by-step explanation:

In this question we have given an equation that is x² - 4x = 0 and we have asked to find all the possible values of x . So finding our answer ,

[tex] \longmapsto \: x {}^{2} - 4x = 0[/tex]

Step 1 : We are taking x common :

[tex] \longmapsto \: x(x - 4) = 0[/tex]

Step 2 : That means :

[tex] \longmapsto \:x = 0 \: and \: (x - 4) = 0[/tex]

Step 3 : Finding value of x for x - 4 :

[tex] \longmapsto \:x = 4[/tex]

[tex] \pink{ \boxed{ \sf{Therefore , \: value \: of \: x \: are \: 0 \: and \: 4 }}}[/tex]

#Keep Learning

Find the equation of the line joining the points (4, 9) and (-1, 0)

Answers

The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5

How to find the equation of a line?

The formula for calculating the equation of a line is expressed as:

y = mx + b

m is the slope

b is the intercept

Determine the slope:

Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5

Determine the y-intecept

0 = 9/5(-1) + b

b = 9/5
Hence the equation of the line is y = 9/5 x + 9/5

Learn more on equation of a line here: https://brainly.com/question/13763238

I need help please answer
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?

A 2.66 light-years
B 7.18 light-years
C 7.74 light-years
D 9.46 light-years

Answers

Answer:

B) 7.18

Step-by-step explanation:

sorry if I am wrong. I hope this helps.

HELPP ASAPP (BRAINIEST SBB )

Answers

Answer:

The one to the upper right, with a triangle on opposite ends of both sides. It looks like the one in the photo I included.

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

-13x+2y=29 solve for y

Answers

Answer:

x = 2.38; substitute x to get y

Step-by-step explanation:

solve for variable x.

move the term containing x to the left and the rest to the right.

add -2y to each side of the equation.

 -13 +2y + -2y = 29 + -2y

combine like terms; 2y + -2y = 0

     -13x + 0 = 29 + -2y

          -13x = 29 + -2y

divide each side by -13 and then simplify;

x = -2.23 + 0.15

x = 2.38

which one is a vertical line through the point (3;5)​

Answers

A vertical line going through any given point would pass through the x-coordinate.

In this case, the x-coordinate is 3. Therefore, the vertical line that would pass through the point (3, 5) is x = 3.

Hope this helps!

A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.

Answers

Answer:

38.95%

Step-by-step explanation:

profit%= profit/cost price ×100

37/95×100

0.38×100

profit%=38.95

how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3

Answers

Answer:

The area is 4.

Step-by-step explanation:

hope this helps.

Can somebody help me I’m confused on how solving the equation

Answers

Answer:

You answer is.

(d)YesA = -9

Step-by-step explanation:

Example Problem.

y = 2^ (x - h) + k

y = 8^(x-0) - 9

The h = 0 so there no transition left/right.

There is a k = -9 which means transition down/up but it is a negative so down.

Domain: all real number ( -inf , +inf)

Range: (k, inf) -> (-9, +inf)

k = -9 is also y=-9 that the graph can't pass.

What is the range of this set of test scores?
My Science Test Scores:
82, 85, 87, 68, 74, 90, 92, 78, 89, 95, 94, 94
Science Test Scores
See
Leaf
6
1
48
3
2579
24.45
Xay 61 868

Answers

Answer:

range = 27

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest = 95 , smallest = 68

range = 95 - 68 = 27

Answer:

46

Step-by-step explanation:

20. A centimeter is 1/100t of a meter, while a kilo-
meter is equal to 1000 meters?
a. True
b. False

Answers

Answer:

I think it true?

I is correct?

my brainlist answer please. <:(

What net is shown below?
triangular prism
rectangular prism
O square pyramid
triangular pyramid

Answers

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

rectangular prism because it has dimensions of 5 sides and if you fold it, it would turn into a rectangular prism

Can someone help I will mark u brilliant

Answers

Answer:

50

Step-by-step explanation:

We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.

Answer:

First, we must know the formula for the area of a circle.

The formula for the area of a circle is;

A = π[tex]r^{2}[/tex]

Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.

Plug in what you know;

R(radius) = 4 feet.

So,

A = π[tex]r^{2}[/tex]

Will be;

A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".

Simplify:-

A = 3.14(16)

A = 50.24 feet is the area.

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