Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).

Please show all the exact steps in order I am really lost on how to solve this.

Answers

Answer 1

Answer:

Solution given:

sin y = -4/5

p/h=4/5

p=4

h=5

b=√{5²-4²)=3

cos y = b/h=-3/5

again

cos x=12/13

b/h=12/13

b=12

h=13

p=√(13²-12²)=5

sin x=p/h=5/13

now

sin[x-y]=sinxcosy-cosxsiny

=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.


Related Questions

What is the equation of the line through (2, –4) and (0, 4)?A.y = 4x – 4B.y = 4x + 4C.y = –4x + 4D.y = –4x – 4SUBMITarrow_backPREVIOUS

Answers

Answer:

C

Step-by-step explanation:

I did this by graphing the points on paper and then forming an equation from there. Another way is to do to slope equation. The slope equation is: [tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex], so you would just fill it in here. (4+4) (I did PLUS since subtracting a negative is adding a postive number). This equals 8. (0-2) is -2, so 8/-2 is -4x. For the y-intercept, it is already shown in the equation. This is 4 because if x is 0, then that is the y-intercept. So: y=-4x+4.

Name an angle of

A) 40°

Answers

Answer:

acute angle

AB is 40°

and ED is also 40°

Step-by-step explanation:

Have a nice day!

That is an acute angle

ill give u crown thingy

Answers

-5/19 is negative
Which of the results are negative
Remember (-) * (-) = (+)

Solution: B, D, E

If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.

Answers

Answer:

154

Step-by-step explanation:

.4 x 112 = 280

.95 x 266 = 280

.55 x 280 = 154

HELP ME SOLVE THESE PLEASE

Answers

Answer:

True

Step-by-step explanation:

An input is always anything that equals a sum.

Input: Small-Medium-Large

Output: Prices

Answer:

yes

Step-by-step explanation:

price is compared by size

how many times can 82 go into 401

Answers

Answer:

4.89 times

Step-by-step explanation:

I hope this helps :)

Answer:

82 can go into 401 four times.

Step-by-step explanation:

82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.

Answers

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given

one ticket costs $8. if you have $56, how many tickets can you buy?


please show work if it’s possible!!:)

Answers

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

find f(3) if f(x)=-3x-6

Answers

Answer:

-3(3)-6=-15

Step-by-step explanation:

tion. 4.
A A'B'C' is the image of A ABC after a translation.
Write a rule in ARROW NOTATION for the
translation
y B
A
A
C с
B
O-A
C
TXY

Answers

Given:

The triangle A'B'C' is the image of triangle ABC after a translation as shown in the given graph.

To find:

The rule of translation in ARROW NOTATION.

Solution:

The general rule for translation is:

[tex](x,y)\to (x+a,y+b)[/tex]        ...(i)

Where, a and b are constants.

From the given graph it is clear that the coordinate of point A are (2,3) and coordinates of point A' are (4,-2).

Using (i), the image of A(2,3) is

[tex]A(2,3)\to A'(2+a,3+b)[/tex]

We have, A'(4,-2).

[tex]A'(2+a,3+b)=A'(4,-2)[/tex]

On comparing both sides, we get

[tex]2+a=4[/tex]

[tex]a=4-2[/tex]

[tex]a=2[/tex]

And,

[tex]3+b=-2[/tex]

[tex]b=-2-3[/tex]

[tex]b=-5[/tex]

Putting [tex]a=2[/tex] and [tex]b=-5[/tex] in (i), we get

[tex](x,y)\to (x+2,y+(-5))[/tex]

[tex](x,y)\to (x+2,y-5)[/tex]

Therefore, the rule in ARROW NOTATION for the given translation is [tex](x,y)\to (x+2,y-5)[/tex].

HALP ME PLS I HAVE A TEST I TRIED JAM BOARD, BUT IT DIDNT WORKKK

Answers

Answer:

Step-by-step explanation:

1) 0.9 x 2 x π = 1.8π ft

2) 1.6π ft

3) 0.1 x 2 x π  = 0.2π yd

4) 0.6π ft

Help me with this! Will give brainlist!!

Answers

Answer:

answer is C i think

Step-by-step explanation:

Answer:

18.85 B

Step-by-step explanation:

14) In golf, a birdie means you score (-1) and a bogey means you score (+1), in relation to par. What
would your score be if, after eight holes, you had five birdies and three bogeys?

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2 the other person is also definitely right.

Sam went to the store to buy some supplies for school. He bought a binder that cost $6.50 and packages of filler paper that cost $1.25 each. If Sam spent a total of $11.50, how many packages of filler paper did he buy? LET p = the number of packages of filler paper

Answers

Answer:

4 packages

Step-by-step explanation:

Hi,

1.25x + 6.50 = 11.50

1.25x = 5

x = 4

He bought 4 packages.

I hope this helps :)

Jasmine swims 12 laps every afternoon, Monday through Friday. How many laps does she swim in one week?

Answers

Answer:

60

Step-by-step explanation:

In one week, Jasmine swims on Monday, Tuesday, Wednesday, Thursday, and Friday. Meaning she swims 5 days a week. If she swims 12 laps on all 5 days, then she swims a total of 60 laps.

The answer is eighty-four

Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 ​ = 5 4 ​ start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=

Answers

Answer: [tex]\dfrac{15}{4}[/tex]

Step-by-step explanation:

Given

[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]

Apply cross-multiplication

[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]

The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]

Answer:

15/4

Step-by-step explanation:

5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%

Answers

Answer:

1 out of a 50% chance

Step-by-step explanation:

hope it helps

If −x+8y=−3 is a true equation, what would be the value of 2(−x+8y)?

Answers

Answer:  -6

Step-by-step explanation:

If −x+8y=−3 is a true equation, we plug in -3 for -x + 8y, we get 2(-3) = -6.

plz help thank u so much.

Answers

168 sq feet
7.0 feet
A=1/2 base x height
352 sq inches

Answer:

Q.1 area of triangle =1/2×base×height

area oftriangle=1/2×21 feet×16 feet

area of triangle =168feet²

Q.2 A=1/2×base×height

Q.3 area of triangle =1/2× base×height

35feet² =1/2×10feet× h

35 feet² =5 feet×h

35feet²/5 feet = h

7feet = h

Q.4 area of triangle =1/2×base×height

area of triangle =1/2×32×22

area of triangle =352 feet²

(-7,-5) lies in which of the following quadrants [ ]

a) Q1 b) Q2 C) Q3 d) Q4​

Answers

Answer:

C) Q3

Step-by-step explanation:

Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a negative direction (down).

para envasar 600kg de mole en pasta una productora de alimentos utiliza 140 envases ¿cuantos envases se necesitará para 950kg de mole?

Answers

Answer:

link respuesta - https://answer-helper.com/mathematics/question21964709

Step-by-step explanation:

if you make $8 an hour and you get a 10% raise how much are you making now

Answers

Answer:

$8.8

Step-by-step explanation:

[tex]8*0.10=0.8[/tex]

[tex]8+0.8=8.8[/tex]

Which graph correctly solves the equation below?
-x² – 1 = 2x^2 – 4

Answers

Answer: Hope this helps. I didn't see any graphs posted on your question.

Step-by-step explanation:

y = -x²-1

y = 2x²-4

Edit: posted wrong screenshot :/

here is the actual one lol

13 p
Roxanna invested $10,000 in an account that earns 8.5% interest that is
compounded monthly. Determine the amount of money in the account in
15 years. (Lesson 7-10b)

Answers

Answer:

$35,100

Step-by-step explanation:

Given data

Principal=$10000

Rate= 8.5%

Time = 15 years = 180 months

The expression for monthly compounded interest is

A=P(1+r/12)^t

substitute

A=10000(1+0.085/12)^180

A=10000(1+0.007)^180

A=10000(1.007)^180

A=10000*3.51

A=$35,100

Hence the balance is $35,100

Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?

Answers

Answer:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divideStep-by-step explanation:

Can someone help me please

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: (-10,-2)

Just multiply the points by 2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

(-10,-2)

Step-by-step explanation:


[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]

Answers

Step-by-step explanation:

[tex]5x - 3 \times 7x + 10[/tex]

Answer:

35x² + 29x - 30

Step-by-step explanation:

Given

25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL

= 25x² + 10x² + 29x - 21 - 9 ← collect like terms

= 35x² + 29x - 30

zoey invested $230 in a account interest rate was 6.3% daily to the nearest hundred dollars, would be after 12 years

Answers

$500 dollars is the answer to this problem

what is the value of a and b

Answers

hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.

What is the area of the rectangle with the given dimensions? *

The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9

Answers

Given:

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:

[tex]Area=(2x-5)\times (3x+3)[/tex]

[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]

[tex]Area=6x^2+6x-15x-15[/tex]

[tex]Area=6x^2-9x-15[/tex]

Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].

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