The terminal side of an angle in standard position passes through P(15, -8). What is the value of sin ?
sin 8--
15
17
8
sin e--
17
8
17
15
17
O sin e-
O sin e--

Answers

Answer 1

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse.  The value of sinθ can be written as (15/17).

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

\(\rm{Sine(\theta) = \dfrac{Perpendicular}{Hypotenuse}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

Given that the terminal side of an angle in standard position passes through P(15, -8). Therefore, the measure of the perpendicular will be 15 units, while the measure of the base will be 8 units. Now, the value of the hypotenuse of the triangle is,

Hypotenuse = √(15²+8²) = 17 units

Further, the value of sinθ can be written as (15/17).

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Related Questions

Write an exponential model given two points. (3, 55) and (4, 70)​

Answers

The exponential equation that passes through these two points is:

y = 26.678*(14/11)^x

How to write an exponential equation with these two points?

A general exponential equation is:

y = A*(b)^x

If we know the two points (3, 55) and (4, 70), then we can write  two equations:

55 = A*(b)^3

70 = A*(b)^4

If we take the quotient between the second equation and the first one, then we get:

70/55 = (A*(b)^4)/(A*(b)^3)

70/55 = b

14/11 = b

Then we can write:

55 = A*(14/11)^3

(11/14)^3*55 = A

26.678 = A

Then the exponential equation is:

y = 26.678*(14/11)^x

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Need help please hurry!!!

Need help please hurry!!!

Answers

Answer:

the answer is 16000

because 4 × 3848 is the best estimate for 16000 its nearby 15 k

hopefully its correct

Answer:

In an hour the factory makes 3848 pencils

In four hours the factory will make four times as much

=4×3848=15392 pencils

the best estimate is 16000 pencils

(x2 – 3x + 2)/(4x - 16)

Answers

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

HELPPP MEEE PLEASEE WITH THIS QUESTION

HELPPP MEEE PLEASEE WITH THIS QUESTION

Answers

The values of x and y are given as follows:

x = 18.\(y = 6\sqrt{10}\)

What is the geometric mean theorem?

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases for this problem are given as follows:

2 and x.

The altitude is given as follows:

6.

Hence the length x is given as follows:

2x = 6²

2x = 36

x = 18.

Applying the Pythagorean Theorem, the length y is given as follows:

y² = 18² + 6²

y² = 360

\(y = \sqrt{36 \times 10}\)

\(y = 6\sqrt{10}\)

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100 POINTS WILL GIVE BRAINLIEST What is the target percent change for Growth Domestic Product?
A. 2-3% growth per period
B. 1-5% growth per period
C. 3-6% growth per period

Answers

Answer:A

Step-by-step explanation:

Help me! I’ll.do anything

Answers

Answer:

whats the problem?

Step-by-step explanation:

x=-4
Tell whether it’s graph is a horizontal or a vertical line

Answers

Answer:

Vertical Line

Step-by-step explanation:

A vertical line is x = [a number]

A horizontal line is y = [a number]

Answer:

vertical line

Step-by-step explanation:

A vertical line is of the form

x =

All the x values are the same and the y value changes

x = -4 is a vertical line

2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000

Answers

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

.
Discuss some details that you should research before taking out a credit card. Your answer should be at least two complete sentences.

Answers

The details that you should research before taking out a credit card include:

Annual Percentage RateAnnual fee.Charges. Interest rates. Loyalty points

How to explain the credit card?

It should be noted that credit cards give you a line of credit that can be used to make purchases, balance transfers or cash advances and requiring that you pay back the loan amount in the future.

When one is using a credit card, you will need to make at least the minimum payment monthly by the due date on the balance.

The above should be considered before taking the credit card.

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A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount

Answers

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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whats the mean and median of 13, 1, 17, 6, 2, 111, 3?

Answers

Answer:

111

Step-by-step explanation:

The median is 6
The mean is 21.9

In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle. A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y. Write and solve an equation to determine the measure of angle y.

Answers

Step-by-step explanation:

sorry but u should provide with a diagram for better understanding of ur question

PLEASE I need this answer ASAP I am being timed

PLEASE I need this answer ASAP I am being timed

Answers

Answer:

331.4

Step-by-step explanation:

you just add the area of the three squares and then ad those half circles into a whole and solve the area

Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36

Answers

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

how would I solve this problem with synthetic division and graph it without a calculator?

how would I solve this problem with synthetic division and graph it without a calculator?

Answers

\(\begin{gathered} x^4-11x^2-18x-8\text{ has factor of (x+2) and (x+1) with multiplicity 2. This means that} \\ \text{the polynomial could be divided by} \\ (x+2)(x+1)^2=(x+2)(x^2+2x+1) \\ (x+2)(x+1)^2=x^3+2x^2+x+2x^2+4x+2 \\ (x+2)(x+1)^2=x^3+4x^2+5x+2 \end{gathered}\)\(\begin{gathered} from\text{ the synthetic division, we obtain that} \\ x^4-11x^2-18x-8=(x+2)(x+1)^2(x-4) \end{gathered}\)\(do\text{ you have questions?}\)

how would I solve this problem with synthetic division and graph it without a calculator?
how would I solve this problem with synthetic division and graph it without a calculator?

4.1.3 Bathu Sneakers have been looking into different shoebox sizes: a large box for male shoes and small box for female shoes. The cost of the cardboard to make the boxes is 0,502 cents/cm². Calculate the percentage savings Bathu Sneakers will make if the smaller box is used compared to the normal larger box. Larger Box Total Surface Area = 4 093 cm² 19 cm 26 cm 34,5 cm Smaller Box Total Surface Area = 3 034 cm² 25 cm 17 cm 26 cm (6)​

Answers

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king? ​

Answers

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Translate this sentence into an equation.
The product of 3 and Vidya's height is 54.
Use the variable v to represent Vidya's height.

Answers

Th equation is \(3v=54\\\).

Given,

product of 3 and vidya's height is 54

v is represented as vidya's height.

Representation of equation is as follows:

The product of 3 and vidya's height can be written as \(3*v=3v\)

and their product is 54,

\(3v=54\).

Thus, the equation is \(3v=54\\\).

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A bottle contains 3.6 liters of water, water drips out of the bottom of the bottle at a rate of 20 millilitres per minute, work out how long it takes for the bottle to empty, give your answer in hours.

Answers

Answer: 3 hours

Step-by-step explanation:

Bottle = 3.6 liters / 3600 milliliters

Rate = 20 ml a minute

3600 / 20 = 180 minutes

60 minutes = 1 hour

180 / 60 = 3 hours

Joseph is 33 years old. Five years ago, He was twice as old as Ann. How old will Ann be in 5 years time?

Answers

Answer:

19 years old

Step-by-step explanation:

\(Joseph = 33 \:years \:old\\ \\Let \: ann's \:age be x\\\\33-5 = 2x\\\\28 = 2x\\\\Divide \:both \:sides \:of \:the \:equation \: by \:2\\\\\frac{2x}{2} = \frac{28}{2} \\\\x = 14\\\\Ann's \:present \:age \:= 14\\\\In \:5 \:years \:time ; \\\\14+5 = 19\\\)

Question is below ⬇️.

Question is below .

Answers

The missing statement about base angles of the isosceles trapezoid is ∠TPR ≅ ∠ TAR.

What is the missing statement about the trapezoid?

The base angles of isosceles trapezoids are congruent.

In an isosceles trapezoid, the base angles (the angles formed by one of the bases and a leg) are congruent.

Since the opposite angles in an isosceles trapezoid are congruent, the base angles must also be congruent.

In the given diagram, we will identify the base angles as follows;

∠TPR ≅ ∠ TAR

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The graph of a quadratic function with vertex (0, 3) is shown in the figure below.

The graph of a quadratic function with vertex (0, 3) is shown in the figure below.

Answers

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

We have,

From the given quadratic function,

We see that,

The x-values are -∞ to ∞

The y-values are from 3 to ∞

Now,

The x-values are called the domain.

The y-values are called the range.

Thus,

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

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how did you find the height? thats what im confused on. A=(1/2)b x (h)

Answers

A triangle is a three-edged polygon with three vertices. The height of the triangle can be written as h = (2A)/b.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The complete question is:
Given the equation of the area of a triangle. how did you find the height of the triangle? A=(1/2)b x (h)

(Hint: Solve the equation for h)

Given the equation of the area of the triangle. Therefore, the height of the triangle can be written as,

A=(1/2)b x (h)

2A = b x h

h = (2A)/b

where h is the height of the triangle and b is the length of the base of the triangle.

Hence, the height of the triangle can be written as h = (2A)/b.

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please help
i cant do this

please helpi cant do this

Answers

Answer:

42 sq. cm

Step-by-step explanation:

Answer: 42 sq. cm

Length of Big Rectangle: 7

Width of Big Rectangle 7+0.5+0.5 = 8

Area of Big Rectangle: 56

Area of Small Rectangle = 0.5*7 = 3.5

Area of 4 Small Rectangles = 3.5 *4 = 14

Shaded Area = Big Rectangle - 4 Small Rectangles = 56 - 14 = 42 sq. cm

To reassure the answer above is correct

Multiply.
x²+3x+2
x 2x²+3x-1
OA. 2x¹ +9x² + 12x² + 3x-2
OB. 2x¹ +9x2 - 2
OC. 3x2 + 6x +1
OD. 2x¹ +21x² + 3x-2

Answers

The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2

Multiplication

(x² + 3x + 2) (2x² + 3x + 1)

= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2

collect like terms

= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2

= 2x⁴ + 9x³ + 14x² + 9x + 2

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Which of the following explains the relationship between angles A and D

Which of the following explains the relationship between angles A and D

Answers

Answer:

I believe they are vertical angles

Step-by-step explanation:

Vertical angles are angles that are across from each other. They are also equal to each other.

Brainliest if correct, please help. thank you!! :D

Brainliest if correct, please help. thank you!! :D

Answers

A table of values is shown.  

At hour 1, they have travelled 70 miles.  

At hour 2, they have travelled 140 miles.  

They travel 70 miles per hour.

distance travelled = 70 * hours.

test a point

140 miles = 70 ( 2 )

This is true.

Now, input 11.

distance travelled after 11 hours = 70 (11)

770 miles in 11 hours

Hope this helps,

Jeron

:- )

Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.​

Answers

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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write the name of the period that has the digits 145

Answers

Answer:

it is the thousands period.

Step-by-step exitplanation:

Find the value of X.

Find the value of X.

Answers

Answer:

ummmmm if im not wrong 34

Step-by-step explanation:

The angle of A will be 180-105=75
the angles of A + B + C = 180
we can do 180 -75 - 67
This gets us 38°
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