Find the exact value of sin space 2 theta when tan theta equals negative 12 over 5 where fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than 2 straight pi.

Answers

Answer 1

Answer:

-120/169

Step-by-step explanation:

Sin2theta = 2sintheta costheta

Given that tan theta = -12/5

Opposite = -12

Adjacent = 5

Using Pythagoras theorem

Hyp = √(-12)²+5²

Hyp = √144+25

Hyp = √169

Hyp = 13

Cos theta = adj/hyp

Cos theta = 5/13

Sin theta = opp/hyp

Sin theta = -12/13

Substitute

Sin2theta = 2(-12/13)(5/13)

Sin2theta = -120/169

Hence sin 2theta = -120/169


Related Questions

Help me out

Length = m

Answers

[tex]perimeter = a + b + c[/tex]

[tex]perimeter = 4 + 3 + c[/tex]

//

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]

[tex] \sqrt{25} = 5[/tex]

[tex]c = 5 \: meters[/tex]

//

[tex]perimeter = 4 + 3 + 5[/tex]

[tex]perimeter = 12 \: meters[/tex]

//

[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]

Please Help!

if these two shapes are similar, what is the measure of missing length q?

Answers

60 / 96 = 25 / q
5 / 8 = 25 / q
5*q = 8 * 25
5q = 200
q = 40

Check:
60 / 96 = 25 / 40
5/8 = 5/8 :)

Answer:

40

Step-by-step explanation:

96 ÷ 60 = 1.6

25 × 1.6 = 40

Disclaimer: Yay, okay. The person above me got the same answer so this is right.

#2 Find the value of x. Round to the nearest degree.

Answers

Answer:

49°

Step-by-step explanation:

arccos x = 15/23

can somebody please help kinda low on point so i would be greatful for real answers no fake!

Answers

Answer:

I think it would be the Thrid Option if its talking about a Can of Soup. Most cans Of soup are measured in Ounces for Whats contained inside.

i think it’s letter c

Which of the following best describes the equation below?
y = -5x + 12
A.
nonlinear
B.
linear
C.
both linear and nonlinear
o
D.
neither linear nor nonlinear

Answers

Answer:

B. linear equation

Step-by-step explanation:

How can you tell that whether the equation is linear or nonlinear?

Using an Equation

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.

y = -5x + 12 has no exponents that's why it is a linear equation.

Hope this helps:)

an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.

Answers

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]

If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.

Answers

Given:

M(4,2) is the midpoint of AB and A(-5, -3).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

M(4,2) is the midpoint of AB and A(-5, -3).

[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]4=\dfrac{-5+a}{2}[/tex]

[tex]8=-5+a[/tex]

[tex]8+5=a[/tex]

[tex]13=a[/tex]

And,

[tex]2=\dfrac{-3+b}{2}[/tex]

[tex]4=-3+b[/tex]

[tex]4+3=b[/tex]

[tex]7=b[/tex]

Therefore, the coordinates of point B are (13,7).

in a standard deck of cards, what is the probability that you would draw an ace

Answers

Answer:

innate as an agent X or something else

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Suppose you have a deck of 52 cards, 4 of which are aces. The chances of drawing an ace from this deck are 4/52≈8%.

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

What is the arc length of a circle that has a 6inch radius and a central angle that is 65 degrees? Use 3.14 for pi and round your answer to the nearest hundredth
1) 0.65 Inch
2) 1.13 Inch
3) 6.80 Inch
4) 390.01

PLEASE HELP!!! ILL MARK BRAINLIEST

Answers

Answer:

6.80 inch

Step-by-step explanation:

The half-life of hellium-5 is 7.6x10^-22 seconds, and the half-life of hellium-9 is 7x10^-21 seconds. Approximately how many times greater is the half-life of hellium-9 than that of helium-5?

Answers

Answer:

9.2 times greater

Step-by-step explanation:

Given that :

Half life :

Helium - 9 = 7x10^-21 seconds

Helium - 5 = 7.6x10^-22 seconds

To obtain the number of tunes helium - 9 half life is greater than helium - 5 ; we divide the half life of helium-9 by the half life of helium 5

7x10^-21 seconds / 7.6x10^-22 seconds

0.9210526 x 10^(-21 - (-22))

0.9210526 * 10^1

= 0.9210526 * 10

= 9.2105

About 9.2 times greater

determine if f (x) = - x^3 + 4x^2 +7x - 6

Answers

-x(x2-4x-7)+6=-x(x2-4)-7+6=-x(x+2)(x-2)-1=-x-1

find the value and add them together

Huey is reading a book that is 697 pages long.
He tells a friend that he is about 3/4 of the way done.

About how many more pages must Huey read before he finishes the book?

Answers

Answer:

700 books huey finish he your answer

Answer:

175 pages

Step-by-step explanation:

Answer:

. 175

Step-by-step explanation:

There are 2 ways that we can find the answer to this question:

1. Take 1/4 of 697

2. Take 3/4 of 697 and minus the product from 697.

Let's do it both ways:

If we are doing it the first way it would look like this:

(1/4)(697) = 175

Note that we get 1/4 because Huey already read 3/4 of the book so he has 1/4 left.

The second way would look like this:

(3/4)(697) = 523

679 - 523 = 174 (roughly 175)

Therefore, the answer to your question would be . 175. pls mark brainliest

solve this linear equation with HOW you did it please.
9k-5k=-32

Answers

Answer:

k = -8

Explanation:

9k - 5k = -32

4k = -32

k = -8

A snail is moving along a path that is 4 meters long. The snail moves at an average rate of 3 3/10 inches per minute. Question 1 Part A Find the length of the path to the nearest inch. (Hint: 1 in.≈2.54 cm) Enter the correct answer in the box.

Answers

Answer: The length of the path = 157 inches { approx}

Step-by-step explanation:

Given: The length of the path = 4 meters

1 meter = 100 centimeters

So 4 meters = 400 centimeters

Also 1 in. ≈ 2.54 cm

[tex]\Rightarrow\ 1 cm = \dfrac{1}{2.54}\ in.[/tex]

Now, [tex]\text{ 400 centimeters}=400\times\dfrac{1}{2.54}\text{ inches}[/tex]

[tex]=157.480314961\approx 157 \ \ \ \ \ \text{ [Rounded to the nearest inch.]}[/tex]

Hence, the length of the path = 157 inches { approx}

What is the quotient of 9−x^2 divided by 3x and x^2+6x+9 divided by 3x?

Answers

Answer:

44 rem

Step-by-step explanation:

Sorry i dont have an explanation

The radius of a circle is 4 centimeters.what is the area

Answers

A= 50.27 cm^2 :) hopefully this is right

Solve this system of linear equations. Separate
the x- and y-values with a comma.
9x = 1 - 4y
-7x = -7 + 4y

Answers

Answer:

y = 7 and x =3

Step-by-step explanation:

use elimination method

so we gonna eliminate y first

9x = 1 - 4y

-7x = -7 + 4y

7| 9x = 1 - 4y

9| -7x = -7 + 4y

63x = 7 - 28y

-63x = -63 + 36y

add eqtn 1 to eqtn2

you will get

0 = -56 + 8y

56 = -56 + 56 + 8y

56 = 8y

56÷8 = 8y÷ 8

7 = y

also eliminate x as we have done wth y

4| 9x = 1 - 4y

4| -7x = -7 + 4y

36x = 4 - 16y

-28x = -28 + 16y

add the two equations

u will get

8x = -24 + 0

8x = -24

8x÷8 = 24÷ 8

x = 3

Please I need help does anyone know a hack for khan academy

Answers

Answer:

Answer:

0.3643

Step-by-step explanation:

Standard Form and Scientific Notation

What is standard form of numbers?

Standard form is the normal way of writing numbers no matter how big or small the number is.

Examples:

15,000,000

0.0000000678

What is scientific notation?

Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.

Examples:

1.3 × 10⁶

34.5 × 10^⁻9

Going back to the question above, we need to convert the given scientific notation to its standard form.

Converting of Scientific Notation to Standard Form

To convert a number from scientific notation to standard form, move the decimal point.

The exponent tells the direction and the number of times we need to move the decimal point.

The positive exponent indicates a large number so we need to move the decimal point to the right.

The negative exponent indicates a small number so we need to move the decimal point to the left.

Do not write the power of 10 anymore.

Solution:

Now, let us convert 3.643 x 10^-1 in standard form.

The exponent is negative 1 so we will move the decimal point to the left once.

3.643 = 0.3643

What is the y-intercept of the line shown?


−1
0
0.5
1

Answers

-1, the Y intercept is whatever point the line crosses the Y axsis (the one that goes up and down)

Answer:

-1

Step-by-step explanation:

It crosses the y axis at negative 1, the y axis is the vertical line

Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x

Answers

Answer:

B

Step-by-step explanation:according to my calculations it’s b

The solution is, Option B. f(x) = One-half(3)x.

What is an exponent in math?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

from the given graph we get,

The function in the graph is an exponential growth function.

Therefore its equation is g(x)= 3^x

A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where

0<k<1

From the given options, we must have

k=1/2

This implies that:

f(x)= 1/2 * 3^x.

Hence, The solution is, Option B. f(x) = One-half(3)x.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ6

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

3% of $750 is $22.50 so the answer is $772.50.

Answer:

$806.25  i *think*

Step-by-step explanation:

3% of 750 is 22.5 so add that every year

Year 1 : 750 + 22.50 = 772.50

Year 2 : 772.50 + 22.50 = 795.00

Year 2.5 : 795.00 + 11.25 = 820.50

John's high score on the Asteroid Game was 984. Mikes high score was 1,112. Rebecca just played the game and her high score was halfway between John's and Mikes. What was Rebecca's score?

Answers

Hello the answer would be 1048

Add the two numbers up:
984 + 1112 = 2096
And then divide by 2:
2096/2 = 1048

Please help what is the answer

Answers

The answer would be y = x + 2

A new bank customer with $3,000 wants to open an IRA (Individual Retirement
Account) to earn money for retirement. The bank is offering a simple interest rate
of 11%.
PART A: How much interest will the customer earn in 20 years?
PART B: What will be the account balance after 20 years?

help me please

Answers

Answer:

First take 11% of 3000 which is 330

So 330 per year

according to that in 20 years it will be ($330*20 =$6600)=answer A

Answer B = the total money will be 6600+3000 which is 9600$

Which of the following is a diameter of Circle O?
A
AB
B
DG
EB
D
AE

Answers

Answer:

EB

Step-by-step explanation:

Diameter is a line that cut a circle into equal halves

O indicate the point of the center

(3x +7x² + 2x + 3) + (x + 1)

Answers

Answer:

=7x2+6x+4

Step-by-step explanation:

3x+7x2+2x+3+x+1

Combine Like Terms:

=3x+7x2+2x+3+x+1

=(7x2)+(3x+2x+x)+(3+1)

=7x2+6x+4

Answer:

=7x2+6x+4

McKenzie earns $15 per lawn mowed she also earned $10 for babysitting she earned 100 total, what does that look like in algebra form? Please help.

Answers

Answer:

15a + 10b = 100

Step-by-step explanation:

Given:

Cost of each lawn mowed = $15

Cost of each babysitting = $10

Total money earned = 100

Find:

Algebra form

Computation:

Assume;

Number of lawn mowed = a

Number of babysitting = b

So,

15a + 10b = 100

A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?

Answers

A 3/6 of a chance because there’s 3 even numbers also 50% chance or 1/2 chance
It’s 1/2! Or you could say 3/6. This is because in 1-6 there are 3 even Numbers and that would be half of the 6 sides are even numbers! Hope this helps! :)

Help ME PLEASE!!!!!!!!!!!

Answers

If half of the pizza was cut into thirds, and you ate 1 of the 3 slices left, you would have eaten 1/6 of the leftovers.

Try 1/6.

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