An angle, Theta. is in standard position. The terminal side of the angle passes through the point (6.-5).
Find sin Theta

Answers

Answer 1

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Answer:

  sin(θ) = (-5√61)/61

Step-by-step explanation:

The distance from the origin to the given point is ...

  d = √(6² +(-5)²) = √61

The sine of the angle is the ratio ...

  sin(θ) = y/d = -5/√61

Rationalizing the denominator gives us ...

  sin(θ) = (-5√61)/61


Related Questions

Tyra has recently inherited $5400, which she wants to deposit into an IRA account. She has determined that her two best bets are an account that compounds semi-
annually at an annual rate of 3.1 % (Account 1) and an account that compounds continuously at an annual rate of 4 % (Account 2).
Step 2 of 2: How much would Tyra's balance be from Account 2 over 3.7 years? Round to two decimal places.

Answers

The focus here is the use of "Compounding interest rate" and these entails addition of interest to the principal sum of the deposit.

Tyra will definitely prefer the Account 2 over the Account 1 Tyra balance from account 2 over 3.7 years is $6,261.37

The below calculation is to derive maturity value when annual rate of 3.1% is applied.

Principal = $5,400

Annual rate = 3.1% semi-annually for 1 years

A = P(1+r/m)^n*t where n=1, t=2

A = 5,400*(1 + 0.031/2)^1*2

A = 5,400*(1.0155)^2

A = 5,400*1.03124025

A = 5568.69735

A = $5,568.70.

In conclusion, the accrued value she will get after one years for this account is $5,568.70,

- The below calculation is to derive maturity value when the amount compounds continuously at an annual rate of 4%

Principal = $5,400

Annual rate = 4% continuously

A = P.e^rt where n=1

A = 5,400 * e^(0.04*1)

A = 5,400 * 1.04081077419

A = 5620.378180626

A = 5620.378180626

A = $5,620.39.

In conclusion, the accrued value she will get after one years for this account is $5,620.39.

Referring to how much would Tyra's balance be from Account 2 over 3.7 years. It is calculated as follows:

Annual rate = 4% continuously

A = P.e^rt where n=3.7

A = 5,400 * e^(0.04*3.7)

A = 5,400 * e^0.148

A = 5,400 * 1.15951289636

A = 6261.369640344

A = $6,261.37

Therefore, the accrued value she will get after 3.7 years for this account is $6,261.37

Learn more about Annual rate here

brainly.com/question/14170671

A cash register contains $10 bills and $50 bills with a total value of $1080.If there are 28 bills total, then how many of each does the register contain?

Answers

Answer:

8 ten dollar bills

20 fifty dollar bills

Step-by-step explanation:

x = number of 10 dollar bills

y = number of 50 dollar bills

x+y = 28

10x+50y = 1080

Multiply the first equation by -10

-10x -10y = -280

Add this to the second equation

-10x -10y = -280

10x+50y = 1080

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

 40y = 800

Divide by 40

40y/40 = 800/40

y = 20

Now find x

x+y =28

x+20 = 28

x = 28-20

x= 8

Please help me with this someone

Answers

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Answer:

   79 23/24 yards

Step-by-step explanation:

  10 5/8 +24 5/6 +44 1/2 = (10 +24 +44) +(5/8 +5/6 +1/2)

  = 78 +(15/24 +20/24 +12/24) = 78 +47/24 = 79 23/24 . . . yards

_____

Express the fractions over a common denominator, add, and convert back to a mixed number. Here, the fraction cannot be reduced.

47/24 = 1 23/24

Please help!!!

The figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas (integer or a simplified fraction)​

Answers

Answer:

Perimeter: 3/4

Area: 9/16

Step-by-step explanation:

The ratio of the perimeters is equal to the ratio of the sides so:

18/24 = 3/4

Ratio of Area = (Ratio of Sides)^2

(3/4)^2 = 9/16

I wasn't sure about the answer so I used Gauthmath

5, 3 = 28
7,6 = 55
4,5 = 21
3,8 = ?

Answers

Answer:

3,8 =

Step-by-step explanation:

3 X 3 + 8 = 9 + 8 = 17

Square the first number and add the second number to it.

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y = (x - 2)^4 and 8x - y =16 about the line x= 10?
A. Pi integral^4_2 {[10 - (1/8 y + 2)^2] - [10 - (2 + ^4 squareroot y)^2]} dy
B. Pi integral^16_0 {[10 - (1/8 y + 2)] - [10 - (2 + ^4 Squareroot)]}^2 dy
C. Pi integral^4_2 {[10 - (1/8 y + 2)] - [10 - 2 + ^4 squareroot y)]}^2 dy
D.Pi integral^16_0 {[10 - (1/8 y + 2)]^2 - [10 - 2 + ^4 squareroot y)]^2} dy
E. Pi integral^16_0 {[10 - (1/8 y + 2)^2] - [10 - 2 + ^4 squareroot y)^2]} dy
F. Pi integral^4_2 {[10 - (1/8 y + 2)]^2 - [10 - 2 + ^4 squareroot y)]^2} dy

Answers

Answer:

[tex]\displaystyle V = \pi \int _0^{16}\left[10-\left(\frac{1}{8}y-2\right)\right] ^2 - \left[10 - \left(2+y^{{}^{1}\!/\!{}_{4}}\right)\right]^2\, dy[/tex]

Step-by-step explanation:

We want to find the volume of the solid obtained by rotating the region between the two curves:

[tex]y=(x-2)^4\text{ and } 8x-y=16[/tex]

About the line x = 16.

Since our axis of revolution is vertical, we can use the washer method in terms of y.

[tex]\displaystyle V = \pi \int _c^d[R(y)]^2 -[r(y)}]^2\, dy[/tex]

Where R(y) is the outer radius and r(y) is the inner radius.

First, solve each equation in terms of y:

[tex]\displaystyle x_1 = \frac{1}{8}y+2\text{ and } x_2 = y^{{}^{1}\! /\! {}_{4}}+2[/tex]

From the diagram below, we can see that the outer radius R(y) is (10 - x₁) and that the inner radius r(y) is (10 - x₂). The limits of integration will be from y = 0 to y = 16. Substitute:

[tex]\displaystyle V = \pi \int_0^{16}\left[\underbrace{10-\left(\frac{1}{8}y+2\right)}_{R(y)}\right]^2 - \left[\underbrace{10-\left(y^{{}^{1}\!/\!{}_{4}}+2\right)}_{r(y)}\right]^2\, dy[/tex]

Thus, our volume is:

[tex]\displaystyle V = \pi \int _0^{16}\left[10-\left(\frac{1}{8}y-2\right)\right] ^2 - \left[10 - \left(2+y^{{}^{1}\!/\!{}_{4}}\right)\right]^2\, dy[/tex]

*I labeled the diagram incorrectly. Let R(x) be R(y) and r(x) be r(y).

Find the lengths the missing side

Answers

Answer:

Short leg = x

Longer leg = 12

Hypotenuse = y

Short leg = 4√3

longer leg = 12

Hypotenuse = 8√3

Answered by GAUTHMATH

please help me with this

Answers

Answer:

2x-30 + x + 40 = 180

3x + 10 = 180

3x = 170

x = 56 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

14% of all Americans live in poverty. If 35 Americans are randomly selected, find the probability that

a. Exactly 3 of them live in poverty.

b. At most 7 of them live in poverty.

c. At least 4 of them live in poverty.

d. Between 1 and 8 (including 1 and 8) of them live in poverty.

Answers

At least 4 of them will live in poverty

on average, Jonny can pick 2/3 of the ripe apples on an apple tree in 1/2 an hour .At this rate, how long will it take him to pick all of the ripe apples on his 24 apple trees?

Answers

Answer:

18h

Step-by-step explanation:

let the number of ripe apples on a tree be x

2x/3 = 1/2

x = 1/2 ÷ 2/3 = 3/4

time taken for him to pick all the ripe apples from 1 tree = 3/4 h

total amount of time taken = 24 x 3/4 = 18h

2kg of chicken
61.5 g left
How many kg of chicken were eaten

Answers

Answer:

1.9385 kilograms were eaten

1.9385 kg

Step-by-step explanation:

because 2 kg=2000 g

Subtracting 2000

- 61.5

1938.5

Converting 1938.5 in kg is 1.9385 kg

which of the following is the formula in solving for the area of a circle?
A.A=2πr
B.A=πr²
C.A=πd
D.A=2πr²​

Answers

The area of circle is πr²

Answer:

πr²

Step-by-step explanation:

The answer is πr² where,

π = pi, 3.14...

r = radius

This is the most common way of solving for the area of the circle.

WILL MARK BRAINLIEST PLEASE SHOW WORK :)

Answers

Answer:

(1). A = 18 cm² ; (2). TR = 18 units

Step-by-step explanation:

What is the equation of a circle with a center at (4, -9) and a radius of 5?

Answers

Answer:

(x - 4)² + (y + 9)² = 25

Step-by-step explanation:

The equation of a circle is written as seen below.

(x – h)² + (y – k)² = r²

Where (h,k) represents the center of the circle and r represents the radius

We want to find the equation of a circle that has a center at (4,-9) and a radius of 5.

We know that (h,k) represents the center so h = 4 and k = -9

We also know that r represents the radius so r = 5

Now to find the equation of this specific circle we simply plug in these values into the equation of a circle formula

Equation: (x – h)² + (y – k)² = r²

h = 4, k = -9 and r = 5

Plug in values

(x - 4)² + (y - (-9))² = 5²

5² = 25

The two negative signs in front of the 9 cancel out and it changes to + 9

The equation of a circle with a center at (4,-9) and a radius of 5 is

(x - 4)² + (y + 9)² = 25

Please help me solve for this don't report I did NOT ignore the Honor rule

Answers

Answer:

x = 25

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

150 = 4x+50

Subtract 50 from each side

150-50 = 4x+50-50

100 = 4x

Divide by 4

100/4 = 4x/4

25 = x

The answer should be 25

A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation of 14 pounds. Test at an alpha level at α=.05 and report results using APA format.

Answers

Answer:

Hence we do not have enough evidence to conclude that a liquid diet caused more weight loss.

Step-by-step explanation:

Here the answer is given as follows,

Find the fraction equivalent to 5/7 with: a) numerator 25 b) denominator 42​

Answers

Answer:

a) 25/35

b) 30/42

Step-by-step explanation:

a)

Variable x = denominator if numerator is 25

5/7 = 25/x

5 × x = 7 × 25

5x = 175

x = 35

b)

Variable y = numerator if denominator is 42

5/7 = y/42

5 × 42 = 7 × y

210 = 7y

30 = y

25/35

30/42

To get 25/35 multiply by 5

To get 30/42 multiply by 6

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y2 = 2x, x = 2y;
about the y-axis
b) Sketch the region
c) Sketch the solid, and a typical disk or washer.

Answers

Answer:

V = 34,13*π   cubic units

Step-by-step explanation: See Annex

We find the common points of the two curves, solving the system of equations:

y²  = 2*x                           x = 2*y  ⇒  y = x/2

(x/2)² = 2*x

x²/4 = 2*x

x  =  2*4         x  = 8      and   y = 8/2       y = 4

Then point  P ( 8 ;  4 )

The other point Q is  Q ( 0; 0)

From these  two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.

Now with the help of geogebra we have: In the annex segment ABCD is dy then

V = π *∫₀⁴ (R² - r² ) *dy   =  π *∫₀⁴ (2*y)² - (y²/2)² dy =  π * ∫₀⁴ [(4y²) - y⁴/4 ] dy

V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴

V =  π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )

V = π * [256/3  - 51,20]

V = 34,13*π   cubic units

Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?

Answers

Answer:

[tex]x= 80^o[/tex]

Step-by-step explanation:

Given

[tex]\angle Z = 36^o[/tex]

[tex]\angle WYZ = 100^o[/tex]

Required

Find x

[tex]\angle WYZ[/tex] and x are on a straight line.

So:

[tex]\angle WYZ + x= 180^o[/tex]

Make x the subject

[tex]x= 180^o -\angle WYZ[/tex]

Substitute known value

[tex]x= 180^o -100^o[/tex]

[tex]x= 80^o[/tex]

Answer:

80 is correct

Step-by-step explanation:

Does the function ƒ(x) = (1∕2) + 25 represent exponential growth, decay, or neither?A) Exponential growth
B) Impossible to determine with the information given.
C) Neither
D) Exponential decay

Answers

Answer:

D) Exponential decay

Step-by-step explanation:

The correct function is:

[tex]f(x) = 25(1/2)^x[/tex]

Required

What type of rate is it

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

If

[tex]b > 0[/tex], then it represents growth

[tex]b < 0[/tex], then it represents decay

By comparison:

[tex]b = 1/2[/tex]

[tex]1/2 < 0[/tex]

Hence, the rate is exponential decay

Answer:

Step-by-step explanation:

Which matrix equation represents the system of equations?

Answers

Answer:

B. [tex]\left[\begin{array}{ccc}-1&2\\0&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}0\\-2\\\end{array}\right][/tex]

Step-by-step explanation:

Given the systems of equations

-x + 2y = 0

y = -2

This can also be written as:

-x + 2y = 0

0x + y = -2

We are to write in this form AX = b

A is a 2by2 matrix with coefficients of x nd y

X is a column matrix containing the unknown

b is a column matrix with the values at the right hand sides (0 and -2)

Writing in matrix form;

[tex]\left[\begin{array}{ccc}-1&2\\0&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}0\\-2\\\end{array}\right][/tex]

The Image of a point under Do3, is (7,2).
Its preimage is


A. (7/3, 7/2)

B. (21, 6)

C. (4, -1)

Answers

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (21, 6)

Step-by-step explanation:

The preimage coordinates are multiplied by the dilation factor to obtain the image coordinates. If P is the preimage point and the dilation factor is 1/3, you have ...

  (1/3)P = (7, 2)

  P = 3(7, 2) = (3·7, 3·2)

  P = (21, 6)

The preimage point is (21, 6).

If a parachutist lands at a random point on a line between markers A and B, find the probability that she is closer to A than to B. Find the probability that her distance to A is more than seven times her distance to B.

Answers

Answer and Step-by-step explanation:

The random point on the line is between A and B, and to find the probability of the A, let's find the probability that is distance A and more than times the distance B. Let's have the probability that A and distance to A are more than the distance to B. The distance C is the interval of A to B. If she is closer and landed in the interval, the equation can be (A, A+B/2). This is the interval length, and the probability is 0.5. If the distance to A is more than the distance B, then the interval is as follows in the given equation (A + 3B/2, B ). The probability of the given interval is 0.25.

Which of the following lines is perpendicular to y = -2x +3?
A. y= 2x +3
B.
1
y=-x+3
2
C. y=-2x +2
D.
1
= --X-2
2

Answers

y=1/2x-2 is perpendicular to y=2x+3

Figure A is a scale image of figure B. Figure A maps to figure B with a scale factor of 2/3. What is the value of x?

Answers

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Answer:

  x = 7

Step-by-step explanation:

10.5 maps to x with a scale factor of 2/3:

  x = 10.5 × 2/3

  x = 7

Solve 3! Pleaseeee help

Answers

81, triangle angles add up to 180

Answer:

81

Step-by-step explanation:

180-41-58=81

angles in a triangle add up to 180 :)

What is an explicit formula for the geometric sequence -64,16,-4,1,... where the first term should be f(1).

Answers

Answer:

[tex]a_{n} = -64(-\frac{1}{4})^{n-1}[/tex]

it seems like the first term is -64, so lets write the formula accordingly:

a_n = a1(r)^(n-1)

where 'n' is the number of terms

a1 is the first term of the sequence

'r' is the ratio

the ratio is [tex]-\frac{1}{4}[/tex] because -64 * [tex]-\frac{1}{4}[/tex] = 16 and so on...

the explicit formula is :

[tex]a_{n}[/tex] = [tex]-64(-\frac{1}{4} )^{n-1}[/tex]

Auto technicians working at a shop in a rural residential area noticed that the depth of tire treads was smaller among cars that have more miles on the odometer.


What are the explanatory variable and response variable for this relationship?


Explanatory variable: type of residential area

Response variable: depth of tire tread

Explanatory variable: depth of tire tread

Response variable: miles on the car odometer

Explanatory variable: miles on the car odometer

Response variable: depth of tire tread

Explanatory variable: type of residential area

Response variable: miles on the car odometer

I think its, (B):
Explanatory variable: depth of tire tread

Response variable: miles on the car odometer

Answers

Answer:

Your answer is (C)

Explanatory variable: miles on the car odometer

Response variable: depth of tire tread

ED2021

What is the measure of angle BCD? 146° O 250 O 40° D o 140° 1490 c O 1550​

Answers

Answer: I think the correct answer is 40 but I am not sure.

Step-by-step explanation:

Answer: 40

The angle measure of BCD is m∠BCD = 140°.

What is an interior angle?

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given that a quadrilateral ABCD.

To find the angle measure of BCD,

first, we find the other interior angle with supplementary angles.

m∠DAB = 180 - 25 = 155°

m∠ABC = 180 - 146 = 34°

m∠ADC = 180 - 149 = 31°

And the total sum of the interior angles of a quadrilateral is 360°

So, m∠BCD = 360 - (34 + 31 + 155)

m∠BCD = 140°

Therefore, m∠BCD = 140°.

To learn more about the interior angles;

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#SPJ7

If a ∥ b and b ⊥ y, then _____

Answers

Answer:

a ⊥ y

Step-by-step explanation:

since b is parallel to a & perpendicular to y , line y will eventually cut across line a at a 90 degree angle as well

Answer:

a ⊥ y

Step-by-step explanation:

Look at the image given below.

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Which statement best describes the narrators reliability?The narrator is reliable because she admires her mothers commitment to fighting for voting equality.The narrator is reliable because her reaction to the news about the Nineteenth Amendment makes sense given her passion for equal voting rights.The narrator is unreliable because she incorrectly implies that the voting age is 21.The narrator is unreliable because she does not describe opposing perspectives, like the perspective of the anti-suffragists. bag is brown_________. *Sasrah isSarahSarah'sSarah has DNA is referred to as a______, meaning that it hasstrands that are______together. . Choose the best answer A, B, C or D:1. Rarely ____ she made mistake since she was a manager.A. have B. has C. is D. are2. _____ I you, I wouldnt give him the money.A. If was B. If were C. Was D. Were3. So beautiful _____ that the Queen is envious with her.A. Snow White is B. Snow White are C. is Snow White D. are Snow White4. 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Attention drivers of automobiles passing through this area: do not allow your vehicle to come to rest at the point where the tracks of this railroad intersect with the roadway upon which you are driving your vehicle.8. The team with the most pennants in the National League is that of the Cardinals from the city of St. Louis.9. Should the need arise that you feel compelled to place a telephone call to the office of the local department of police, keep in mind that the sequence of numbers to dial is 555-4103.10. This eating establishment boasts that its specialty appearing on its menu is the serving of chicken which has been fried prior to being brought to diners. Research about the factors that influence the climates of these places including effects of Sun on the climate. Please give me fast i need help Qu entienden al usar la expresin l o Ella tienen estilo? Which of the following describes a solution that contains a buffer? A. 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