A point (-20, 48 ) is on the terminal side of angle 8. Find the exact value of sin 0.

A. 5/13
B. -5/13
C. -12/13
D. 12/13

Answers

Answer 1

Answer:

D.   12/13

Step-by-step explanation:

Hyp = √( (-20)² + 48² )

Hyp = 52

Sin = opp/hyp

sin = 48/52 = 12/13

Answer 2

The value of trigonometric ratio Sinθ = 12/13.

Hence option D is correct.

According to the given point

The base of the triangle be = -20

Perpendicular of triangle = 48

We know that the Pythagoras theorem for a right-angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Therefore,

Hypotenuse = √( (-20)² + 48² )

Hypotenuse = 52

Since we know that,

Sinθ = opposite side of θ /hypotenuse

        =  48/52

        = 12/13

Hence,

Sinθ = 12/13

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The complete question is:

A point (-20, 48 ) is on the terminal side of angle θ .

Find the exact value of Sinθ.

A. 5/13

B. -5/13

C. -12/13

D. 12/13

A Point (-20, 48 ) Is On The Terminal Side Of Angle 8. Find The Exact Value Of Sin 0.A. 5/13B. -5/13C.

Related Questions

PLEASE HELP:(
In the book Cinder, What happened just after Prince Kai hired Cinder to fix his android?

The baker, Chang Sacha, showed symptoms of the plague and was taken away.

Adri sent her a comm telling her the apartment building was on fire.

A hover malfunctioned and crashed into Cinder's booth, destroying it.

She saw Pearl and her friends tormenting a young cyborg boy in the market.

Answers

Answer:

Adri sent her a comm telling her the apartment building was on fire.

Step-by-step explanation:

good luck

c(x)=2x^3+3x^2-1 find rational zeros

Answers

Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  [tex]\pm 1[/tex]

Denominator: [tex]\pm 2[/tex]

That means there are only two possible rational roots: [tex]\pm \frac{1}{2}[/tex]

Try them both by plugging them into the polynomial.

[tex]2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0[/tex]

Aha!  The negative one-half value does not produce 0

The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)
1 9 8.1 7 8 7.6
2 7 6 8 11 8
3 11 3.6 9 10 8
4 12 4 10 12 6
5 8 5 11 6 8.6
6 7 10 12 6 8


Required:
a. Determine the regression equation.
b. Estimate the selling price of a 10-year-old car (in $000).
c. Interpret the regression equation (in dollars).

Answers

Answer:

ŷ = -0.47876X + 11.17724

$6.4

Step-by-step explanation:

Given the data :

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)

1 9 8.1 7 8 7.6

2 7 6 8 11 8

3 11 3.6 9 10 8

4 12 4 10 12 6

5 8 5 11 6 8.6

6 7 10 12 6 8

The estimated regression equation using a linear regression calculator is :

y = -0.47876X + 11.17724

With - 0.47876 being the slope ; and 11.17724 being the intercept

y = predicted variable (price of car) ; x = predictor variable (Age of car)

Selling price of a 10 year old car : x = 10

ŷ = -0.47876(10) + 11.17724

Price = 6.38964

About 6.4(000) dollars ($6,400)

According to the regression equation : The starting price of cars is about $11.18 (intercept) with the proved of cars declining by a value of $0.479(negative slope value) each year.

ASAP pleaaase ASAP ASAP I’ll give a brainliest

A student had 10 marks in mathematics. But he remembers only 7 of them:
1,1,2,2,3,4,5. The mode of the marks is 3 and the mean is 2.9. What are the
missing marks? Once you manage to find these marks, create a frequency
table for the students' scores and visualize the results with a bar chart.

Answers

Answer:

The missing marks are 3, 3, and 5.

Step-by-step explanation:

Since the mode is 3, that means it's the number that occurs most often. The numbers 1 and 2 occur twice so there must be at least 3 3's on the list. But since the mean is 2.9, the third mark cannot be a 3 because it will make the mean only 2.7 so the 3rd mark can be either a 4 or a 5. Using 5 will make the mean 2.9. I take it that you know how to make a bar graph for this problem.

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.

Answers

Answer:

FD ≈ 252.8 feet

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(20°) =  

tan(20°) =  

0.36397 =  

FD =  

FD = 252.77

FD ≈ 252.8 feet

9 in
4 in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

9.8in

Step-by-step explanation:

i think this right

Solve equation by using the quadratic formula.
15x^2 + 13x = 0

Answers

Answer:

0 and - 13/15

Step-by-step explanation:


4) Express 1697 in Roman figures:

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

1697 ➳ MDCXCVII

Answer:

MDCXCVII

Step-by-step explanation:

Tiffany made 40 cupcakes for her birthday. She gave 5 to her family before taking the rest to school. What percent did she give away to her family? Show all work.

Answers

40
40 - 5
40 +40 +20= 100%
5+5+2.5= 12.5 %
She gave 12.5 percent

I don't really understand how to do this if you could help please help asap, thank you

Answers

Answer:

C

Step-by-step explanation:

Just use elimination strategy

If x - 12y= -210 and x -6y=90, then x=

Answers

Answer: x = -30

Step-by-step explanation:

y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x

The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.

To find the value of x, solve the system of equations using the method of  substitution . Let's use the method of elimination:

Given equations:

x - 12y = -210                      (1)

x - 6y = 90                          (2)

To eliminate x, we can subtract equation 2 from equation 1:

(x - 12y) - (x - 6y) = (-210) - 90

Simplifying the equation:

x - 12y - x + 6y = -210 - 90

-6y = -300

Divide both sides of the equation by -6:

y = -300 / -6

y = 50

Now, substitute the value of y back into either equation:

x - 6(50) = 90

Simplify the equation:

x - 300 = 90

Add 300 to both sides of the equation:

x = 90 + 300

x = 390

Therefore, the solution to the system of equations is x = 390 and y = 50.

Learn more about Substitution method here:

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What is the value of 1 / 5 (6 + 8.5)?

Answers

Your answer is gonna be: 2.9
The answer is 29/10 or 2.9

. y=-3x2 + bx + c; (1, 0)
find the unknown coefficients

Answers

Answer:

[tex]y = - 3 {x}^{2} + bx + c \\ when \: (1,0) \\ 0 = - 3( {1})^{2} + b(1) + c \\ 0 = - 3 + b + c \\ b + c = 3 - - - (.) \\ at \: (0,0) \\ 0 = c \\ c = 0 \\ hence \: b = 3[/tex]

Question 7
A cylindrical water tank carries a volume of 150 L when it is full. The water tank has a base surface
with a diameter of 140 cm. What is the height of the water tank? Round your answer to three decimal
digits.​

Answers

Answer:

Volume of a Cylinder:

In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.

The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.

Remember that the radius and the height must be in the same units - convert them if necessary.

The resulting volume will be in those cubic units. So if the height and radius are both in centimeters, then the volume will be in cubic centimeters.

The volume of a cylinder is found by multiplying the area of its top or base by its height and is defined as: V = π· r2· h

Example 1: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. Find the capacity of the tank in kiloliters (1kl = 1m3).

Solution:

Base radius: r = 7 m

Height: h = 11 m

The water storage tank is in the shape of the cylinder. So using the volume of cylinder formula we can find the volume of it.

V = π· r2· h

V = π· 72· 11

V = 1692.46 m3 = 1692.46 kl

Example 2: Find the volume of a cylinder whose base radius is 6 cm and height is 4 cm.

Solution:

Base radius: r = 6 cm

Height: h = 4 cm

V = π· r2· h

V = 3.14· 62· 4

V = 452.16 cm3

Example 3: If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, find the depth of the tank.

Solution:

Let the depth of the tank be h metres. Then we have:

V = π· r2· h

h = V / π· r2

h = 12 m

Example 4: A conical vessel, whose internal radius and height is 20cm and 50 cm respectively, is full of liquid. Find the height of the liquid if it is put into a cylinder whose base radius is 10 cm.

Solution:

The volume of the vessel is:

V = π ∙ r2 ∙ h / 3

V = π · 202· 50 / 3

V = 20944 cm3

The volume of the liquid is the same no matter it is in the vessel or in the cylinder, therefore we have:

V1 = V2, where V1 is the volume of the vessel and V2 is the volume determined using the formula for a cylinder.

20944 = π · 102 · h

Thus:

h = 20944 / (π · 102)

h = 66.67 cm

Example 5: Find the volume of a right circular cylinder whose curved surface area is 2640 cm2

And the circumference of its base is 66 cm.

Solution:

To begin with we need to determine the base radius using the formula for circular perimeter (circumference).

P = 2 · π ·r

r = P /(2 · π) = 66 / (2 · π) = 10.50 cm

Now we will find the height of the cylinder using the formula for surface area of a cylinder.

SA = P · h

h = SA / P = 2640 / 66 = 40 cm

The volume of the cylinder is therefore:

V = π· r2· h

V = π· 10.502· 40

The average height of Sally, Jackson, Tina and David is 150 cm per
person. The average height of Sally, Jackson and Tina is 145 cm per
person. Tina is 5 cm taller than David. Jackson is 4/5 as tall as
David. How tall is Sally? (in centimeters)

Answers

Answer:

129 cm

Step-by-step explanation:

The total height of all the people: 150 × 4 = 600 cm

The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm

David’s height: 600 – 435 = 165 cm

Tina’s height: 165 + 5 = 170 cm

Jackson’s height: 170 × 4/5 = 136 cm

Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm

Thenks and mark me brainliest :))

The height of Sally will be 133 centimeters and the height of Jackson is 132cm.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,

(S + J + T + D) / 4 = 150

S + J + T + D = 600  ...1

The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be

(S + J + T) / 3 = 145

S + J + T = 435      ...2

Tina is 5 cm taller than David. Then the equation will be

T = D + 5  ...3

Jackson is 4/5 as tall as David. Then the equation will be

J = (4/5)D    ...4

From equations, 1 and 2, then we have

435 + D = 600

D = 165 cm

From equation 4, then we have

J = (4/5) x 165

J = 132 cm

From equation 3, then we have

T = 165 + 5

T = 170 cm

From equation 2, then we have

S + 132 + 170 = 435

S = 133 cm

The height of Sally will be 133 centimeters.

More about the solution of the equation link is given below.

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Janet can shovel snow from her driveway in 65 minutes. Jim can do the same job
in 35 minutes. How long would it take Janet and Jim to shovel the driveway if they
worked together?

Answers

Answer:

about 23 minutes

Step-by-step explanation:

(65x35)/(65+35)= 2,275/100= 22.75 minutes (or 23 if rounded)

Name the 4Ps of marketing.

Answers

Answer:

Product – Attributes of an organization or offering within this segment include delivery system design, technology, quality, services provided and their availability.

Price – This silo of the marketing mix includes costs to users/supporters, payment periods, arrangements and terms. Note: Some have also argued “costs” are more than dollars … a full cost analysis should include emotional (for those seeking greater purpose, advancements, victory), sacrificial (for people giving time, energy, focus) and relational (what does one’s association with an organization do for their relationships … will people think more or less of them).

Place – An often-overlooked part of the marketing mix, this “P” covers strategy and executional elements surrounding service distribution channels, coverage, locations, logistics and e-services.

Promotion – Likely the most known aspect of the marketing mix, this piece considers strategies and tactics related to advertising, logo/identity and promotions. But it also covers development/fundraising, communications, events and public relations as they are all tools to be considered and deployed as part of the greater marketing and branding strategy.

Why are blurring the answers

Answers

Answer:

? sorry what?

Step-by-step explanation:

I need help with this

Answers

Answer:

is b

Step-by-step explanation:

porque si miras el (5) tienes que sacar la tercera parte pero la respuesta que es la mitad es 2

A group of friends wants to go to the amusement park. They have no more than $310 to spend on parking and admission. Parking is $9, and tickets cost $35 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

9 + 35x = 310

Step-by-step explanation:

F(x) =-6-3x/2. g(x)=2x+4

Answers

Answer:

correct

Step-by-step explanation:

my brain be smart

What is the expression in factored form? x^2-64

Answers

The answer is (x-8) x (x+8)
Hope this helped! Please mark as BRAINLIEST!

Answer:

(x-8)(x+8)

Step-by-step explanation:

a2-b2={a+b)(a-b) a=8 and b=8

(x+8)(x-8)

PLEASE I need help really bad I only have 10 minutes left to turn it in!! I’ll mark you as brainliest please!!!

Answers

Answer:

Area=76.8

Perimeter=49.6

Good luck!

what is the area of a rectangle in sqare inches

Answers

Answer:

Step-by-step explanation:

 To find the area of a rectangle in square inches  simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.

Find the product for each of the following.​

Answers

Answer:

1 10/17

Step-by-step explanation:

make 45 a fraction by putting a denominator of 1

3/85 * 45/1

3*45 = 135

85*1 = 85

Simplify 135/85 = 1 10/17

Order the following numbers from least to greatest. Put the lowest number on the left. 2 -2 5 -5

Answers

Answer:

-5,-2,2,5

Step-by-step explanation:

Probability!
A spinner has an equal chance of landing on either red, blue, green, or yellow. You spin five times. What is the probability that spinner lands on yellow exactly two times?​

Answers

10

you 5×2=10

that how you get your answer

She didn't see him either. (into affirmative)​

Answers

Answer:

i Don't know this but other's can help you.

A jewelry store is featuring a diamond in the shape of a square pyramid. The side length of

the diamond is 8 millimeters and the slant height is 6 millimeters.

Answers

Answer:

128√5/3 mm³

Step-by-step explanation:

Since we are not told what to find, we can as well look for the volume of the pyramid

Volume of a square pyramid: V = (1/3)a²h

a is the side length of the square

h is the height of the pyramid

Given

a = 8mm

l² = (a/2)² + h²

l² = (a/2)² + h²

6² = (8/2)² + h²

h² = 6² - 4²

h² = 36 - 16

h² = 20

h = √20

Volume of a square pyramid =  (1/3)*8²*√20

Volume of a square pyramid = 1/3 * 64 * 2√5

Volume of a square pyramid = 128√5/3 mm³

Find the missing value in the ratio table. Then write the equivalent ratio

Answers

Answer:

The missing value in shirts is 28, and the missing value in jackets is 14.

Step-by-step explanation:

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