please please help!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 15 / 8, find sin 0
sin 0 = [ ? ]
Simplify the fraction.

Please Please Help!The Pythagorean Identity States That:(sin X)2 + (cos X)2 = 1Given Cos 0 = 15 / 8,

Answers

Answer 1

Answer:

sin θ = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Substitute cos θ = [tex]\frac{\sqrt{15} }{8}[/tex] into the Pythagorean identity

(sin θ )² + ( [tex]\frac{\sqrt{15} }{8}[/tex] )² = 1

(sin θ )² + [tex]\frac{15}{64}[/tex] = 1

(sin θ )² = 1 - [tex]\frac{15}{64}[/tex] = [tex]\frac{49}{64}[/tex] ( take the square root of both sides )

sin θ = [tex]\sqrt{\frac{49}{64} }[/tex] = [tex]\frac{7}{8}[/tex]


Related Questions



What is the volume of this cylinder?

Answers

Answer:

The volume of this cylinder is 502.4 cubic inch

Step-by-step explanation:

For a given Cylinder

Radius (r) = 4 in.

Height (h) = 10 in.

Now,

Volume of Cylinder

V = πr²h

V = 3.14 × (4)² × 10

V = 3.14 × 16 × 10

V = 502.4 cubic inch

Thus, The volume of this cylinder is 502.4 cubic inch

-TheUnknownScientist

HELP⁉️⁉️⁉️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

C 684 sq. m

Step-by-step explanation:

[tex]A = \frac{a + b}{2} h[/tex]

(26 + 46) /2  x 19 = 684

If the discriminant of an equation is positive, which of the following is true of the equation
A it has one complex solution
B it has one real solution
C it had two real solutions
D it has two complex solutions

Answers

Answer:

C it has two real solutions

Step-by-step explanation:

If the discriminant of a quadratic equation is positive, it means that the graph intersects the x-axis, and hence produces two real solutions.  

If the discriminant is zero, then the graph is tangential to the x-axis, and there will be two real coincident solutions.  

If the discriminant is negative, then there are two complex solutions.

Answer:

C

Step-by-step explanation:

What us the y-intercept of the function described in the table

Answers

Answer:

10

Step-by-step explanation:

If the probability that a novice jumper hits the top rail is 65%, what is the probability that this jumper does not hit the top rail?

Answers

Answer:

I don't know

bcddghhffyyhfdcdssghttfxzzvbkmvfu

Find the missing length. The triangles in each pair are similar.
A. 17
B. 16
C. 11
D. 13​

Answers

The answer is D.13
21/7=3
39/3=13

The cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle. The distance from Raleigh to Durham is 24 miles. The distance from Raleigh to Fuquay-Varina is 18 miles. What is the distance from Durham to Fuquay-Varina?

Answers

Answer:

The distance from Durham to Fuquay-Varina is 30 miles.

Step-by-step explanation:

Given that the cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle, and the distance from Raleigh to Durham is 24 miles, while the distance from Raleigh to Fuquay-Varina is 18 miles, to determine what is the distance from Durham to Fuquay-Varina, the following calculation must be performed, applying the Pythagorean theorem:

18 ^ 2 + 24 ^ 2 = X ^ 2

324 + 576 = X ^ 2

√ 900 = X

30 = X

Therefore, the distance from Durham to Fuquay-Varina is 30 miles.

What is the GCF of the terms of the polynomial – 15^4 + 12y^2 – 9y?​

Answers

Answer:

-3y

Step-by-step explanation:

Answer:

i don't know

Step-by-step explanation:

i don't know

help me answer the last question

Answers

We have the equation 1/2x + 200 =1200 so we know that we have 200 already as one of the numbers so 1/2 is half of x + 200 equals 1200 since we have 200 we know that 1/2 of x is going to be 1000 because 1000+200=1200 meaning x is 2000. So your answer would be x=2000 or 1/2 2000 + 200=1200

1 ÷ 1/4 what does that equal

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

b Write down a decimal number between 20.22 and 20.23

Answers

Answer:

20.225

Step-by-step explanation:

GIVING BRAINLIEST!!!


The first rule is multiply by 2, then subtract 4 starting from 6. The second rule is add 3, then multiply by 2 starting from 1. What are the first four ordered pairs using the two sequences?


A (0, 0) (6, 1), (8, 2), (12, 22)

B (6, 1), (10, 8), (14,22), (22, 50)

C (6, 1), (8, 8), (12, 20), (20, 45)

D (6, 1), (8, 8), (12, 22), (20, 50)

Answers

Answer:

D, (6,1), (8,8), (12,22), (20,50)

Step-by-step explanation:

Hope this helps!! :D

Write an exponential function y=ab^x whose graph passes through the given points. (3, 56), (5, 224)

Answers

Answer:

y = 7*(2)^x

Step-by-step explanation:

We know that we have a function of the form:

y = a*b^x

Such that a and b are real numbers, and b also needs to be a positive number.

Such that this function passes through the points (3, 56) and (5, 224)

This means that:

56 = a*b^3

224 = a*b^5

So we have a system of two equations with two variables.

To solve this, we can take the quotient of the two equations (such that the second one is on the numerator) then we get:

(224/56) = (a*b^5)/(a*b^3)

4 = (a/a)*(b^5/b^3) = b^(5 - 3) = b^2

4 = b^2

Then we get:

√4 = b = 2

(because b needs to be positive we only care for the positive square root of 4)

The equation is something like:

y = a*(2)^x

Now we can use again the point (3, 56), so:

56 = a*(2)^3 = a*8

56 = a*8

56/8 = a = 7

Then the exponential equation is:

y = 7*(2)^x

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Correct Answer = 2.7

1. Put the following numbers in order from least to greatest. 0.8, 1/10, 3/100, 0.91
2. Put the following numbers in order from least to greatest. 0.9, 0.35, 11/100, 7/10, 0.6, 0.21
3 Put the following numbers in order from least to greatest. 36/100, 0.2, 1/10, 8/100, 0.5, 0.44

PLEASE HELP ITS DUE IN 10 MINUTES

Answers

Answer:

0.8,0.91,1/10,3/100

0.6,0.9,0.21,0.35,7/10,11/100

0.2,0.5,1/10,0.44,8/100

Step-by-step explanation:

Answer:

0.8,0.91,1/10,3/100

0.6,0.9,0.21,0.35,7/10,11/100

0.2,0.5,1/10,0.44,8/100Step-by-step explanation: IVE DONE THIS BEFORE TOO

7 men can complete a work in 52 days. In how many days will 13 men
finish the same work?

Answers

Answer:

if 7 men complete the work in 52 days, it means a man will take (52×7=364)days to complete the same piece of work. therefore 13 men will take (364÷13)days which is equal to 28 days.

If I roll a 6-sided die, what is the probability that it will land on the number 2? *
6%
33%
17%
2%

Answers

1/36 (2.778%)

there is your answer

In your own words, explain why C=2πr, where C is the circumference of a circle of radius r. Include a description of the number π in your explanation.

I really need help with this one pls help thank you :D

Answers

Answer:

Pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi(3.1415).

There are two radii in one diameter. The formula for circumference is pi*d when using diameter which explains the two in front of the formula given by your teacher.

Step-by-step explanation:

Pascal wants to find the sum of the measures of the interior angles of a polygon that has n sides. How could he do this? Multiply 180 degrees by n. Multiply 180 degrees by (n + 2) Multiply 180 degrees by (n minus 2) Multiply 180 degrees by 2.

Answers

Answer:

Multiply 180 degrees by (n minus 2)

Step-by-step explanation:

Number of sides in the polygon = n

Polygons have sides 3, 4, 5, 6.....

Polygon with 3 sides is a triangle

Polygon with 4 sides is a quadrilateral

Sum of it's Interior angles = (n-2) × 180°

For a 3 sided polygon

Sum of it's Interior angles = (n-2) × 180°

= (3 - 2) × 180°

= 1 × 180°

= 180°

For a 4 sided polygon

Sum of it's Interior angles = (n-2) × 180°

= (4 - 2) × 180°

= 2 × 180°

= 360°

Answer:

Multiply 180 degrees by (n minus 2)

Step-by-step explanation:

26. If you know the lengths of two sides and the measure of _____ angle(s) of a right triangle, you can find the measure of the other two angles and the length of the other side.

Answers

Answer:

1

Step-by-step explanation:

For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.

I need help with circle similarity / scale factor. can someone please help me out?​

Answers

Answer:

A scale factor exists because any two circles are similar. You can use the radii to determine the scale factor.

Step-by-step explanation:

The ratio between the radii is 31 so the scale factor is 31=3. The circumference of the smaller circle is C=2π(1)=2π.

Please solve 6 - 3x = 14

Answers

Answer:

Step-by-step explanation:

Answer:

X= -8/3

Step-by-step explanation:

plz answer for brainlist Brianna pays a phone company a basic
fee of $90 for cell phone service for 30
days. She also has to pay x dollars if she
uses extra data streaming. Which equation
can be used to find t, the total number of

dollars Brianna will pay the company for 30
days of phone service with extra data
streaming?

Answers

Answer:

Hello! Your answer would be,

Step-by-step explanation:

Write as an inequality: x is at least 30. If ... The method we will use to solve applications with linear inequalities is very ... If he charges ?60 per job, how many jobs must he do to earn a profit of at least ?4,000 a month? ... Find your last month's phone bill and the hourly salary you are paid at your job. ... 30\text{°},60\text{°},90\.

HELLLLPPPPPPPP PLEASEEEEEEEEE

Answers

Answer:

10.5

Step-by-step explanation:

[tex] KET\cong KIT...... (given) [/tex]

[tex] \therefore KE \cong KI.... (csct) [/tex]

[tex] \therefore m(KE) =m(KI)[/tex]

[tex] \therefore 10x-34= 4x + 29[/tex]

[tex] \therefore 10x-4x= 34 + 29[/tex]

[tex] \therefore 6x= 63[/tex]

[tex] \therefore x=\frac{63}{6}[/tex]

[tex] \therefore x=10.5[/tex]

I cant find the value of x
Im not sure how to find the value of x in the attached triangle, could someone please help?

Answers

Answer:

8+6x=30+4x+2 The answer is 12

Step-by-step explanation:

Reason - The sum of opposite interior of a triangle is equal to opposite exterior angle .

What is the sum of the first eight terms of the geometric series?
–4 + 20 - 100 + 500 +...

HELP PLSS​

Answers

-4 + 20- 100 + 500 - 2500 + 12,500 - 62,500 + 312,500 = 260,416

If x:y=11:8 and z:y=6:7

(i) Calculate x:y:z

(ii) x:z​

Answers

Answer:

77:56:48

77:48

Step-by-step explanation:

If x:y=11:8 and z:y=6:7

then;

x/y = 11/8 and z/y = 6/7

11y = 8x and 6y = 7z

x = 11y/8 anad z = 6y/7

Hence;

x:y:z

= 11y/8:y:6y/7

= 11/8:1:6/7

= 11/8 * 7/6

= 77:56:48

x:z = 11y/8:6y/7

x:z = 11/8:6/7

x:z = 77:48

Can someone pls help me with this i need a answer and i need to explain pls help!i need to summit this in a few minss

Answers

Answer:

Your answer is d because 60+30*2 is 120 and 30 of 120 is 25%.

Step-by-step explanation:

please help ASAP!!! Find the volume of the triangular prism.

Answers

Answer:

96 cm³

Step-by-step explanation:

V=1/2×6×8×4=196/2=96cm³

length x width x height

Triangle QRS is similar to triangle TUV.

Answers

Answer:

SQ/VT = QR/TU = SR/VU

hope it helps

Other Questions
When a bond trades at a premium, which bond yield will be the lowest? Helpppppppppppppppppp PLEASE PLEASE HELP ME Sort the Alliteration below lizards, lazy, limply. lumps, like, laying, live "The Soviet Union is responsible for the Cold War lasting as long as it did because they instigated war on numerous occasions." To what extent do you agree or disagree with the statement? ) ________ refers to the number of layers the chain of command is divided into from the top of Which system of equations is equivalent to the system of equations shown? 2x + 5y = -2 4x + 7y = 8 Carbon-14 has a half-life of 5,730 years. It is used in "carbon dating" to determine the age of once living organisms. How much of a 144 gram sample of C-14 will remain after 17,190 years have past. Suppose the risk-free rate of return is 3.5 percent and the market risk premium is7 percent. Stock U, which has a beta coefficient equal to 0.9, is currently sellingfor $28 per share. The company is expected to grow at a 4 percent rate forever,and the most recent dividend paid to stockholders was $1.75 per share. Is StockU correctly priced? Explain. answer this for points and brainilest 1. What is the external conflict in the story?a. The earth is dying.b. Demeter is sad her daughter has been taken by Hades.2. Which is an example of the exposition?a. Characters: Demeter, Persephone, Hades, Hermes, Heliosb. Persephone says that she will be back.3. What is the resolution?a. Zeus dispatches Hermes to the underworld.b. Persephone goes back to earth but returns to the underworld 4 months eachyear.4. What is the conflict in the story?a. Persephone was kidnapped by Hades, and as a result the world is dying.b. Helios decides to intervene.5. Which sentence is internal conflict?a. "Definitely lacking in social skills, Hades began to sweat."b. "Hello, uncle. I bring orders from Dad." Why do you think Darwin's theory of evolution still encounters so much opposition today? 1. Which characteristic is shared by all prokaryotic and eukaryotic organisms?A. the ability to reproduce asexuallyB. the ability to make their own foodC. the need for a source of energyD. the need for oxygen for respiration PLS HELLLPPPPPPP I NEED HELP I DID NOT UNDERSTAND HELP SOON PLSSSSS FOR BOTH QUESTIONS whats your zodiac sing mines a capricorn can you plz help me plz AJUTOOOOOOOOOOOOOR DAU COROANA SI INIMA What is the measure of arc AB PSYCHOLOGY/SOCIOLOGY Does anybody know the answer to any of these? Will mark BRAINIEST