Please answer quickly


Given: sin(A) = 4/5, pi/2 < A < pi and sin(B) = -2root5/5, pi < B < 3pi/2 What is the value of cos(A – B)?

Answers

Answer 1

Answer:

-√5/5

Step-by-step explanation:

Given the following

sin(A) = 4/5

sinB - -2√5/5

SinA = 4/5 = opp/hyp

We can get cosA

opposite = 4

hypotenuse = 5

Adj = √5²-4² (pythagoras theorem)

Adj = √25-16

Adj = √9

Adj = 3

Cos A = Adj/hyp

Cos A = 3/5

Also

Sin B = -2√5/5 = opp/hyp

opposite = -2√5

hypotenuse = 5

Adj = √5²-(2√5)² (pythagoras theorem)

Adj = √25-20

Adj = √5

Cos B = Adj/hyp

Cos B =  √5/5

Evaluate cos (A-B)

cos (A-B) = cosAcosB + sinAsinB

cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)

cos (A-B)  = 3√5/25 - 8√5/25

cos (A-B) = -5√5/25

cos (A-B) = -√5/5

Hence the value of cos (A-B) is -√5/5


Related Questions

Sand costs three times as much as rocks per pound. If sand is $9.60 per pound, how much are rocks per pound?

Answers

Answer:

Rock costs $3.20 per pound.

Step-by-step explanation:

Because sand costs three times as much as rocks per pound, you can determine the cost of rocks per pound by dividing the cost of sand per pound by three:

[tex]\frac{9.60}{3}[/tex] [tex]= 3.20[/tex]

what is {1x+89x(8+29x)}{2x+89x(x+9)}

Answers

Answer:

229709x^4+2136000x^3+572539x^2

Step-by-step explanation:

Answer to your question

What is (-3,4) (5,-2) in slope intercept form?

Answers

Answer:

y=-3/4x+7/4

Step-by-step explanation:

Answer:

I got y = -3/4x + 7/4.

Might be wrong, but I'm pretty sure.

help me and ill give brainly

Answers

It would be

Hope this helps

Answer:

(-inf, 5)

Step-by-step explanation:

just the previous answer, in anothe r form

HELP ME PLEASE!!!!

Jake rewrites the expression 81x4 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?

A.(9x)^4-1^2


B.(9x^2)^2-1^2


C.(9x)^4-1^4


D.(9x)^4-1^2

Answers

Answer:

B

Step-by-step explanation:

Please give me the correct answer ​

Answers

Answer:

not a right triangle

Step-by-step explanation:

What is chipset what role its play:}​

Answers

Answer:

a chipset is a system of electrical components which are needed to work for microprocessors.the chipset is to do with the the components on the motherboard

Step-by-step explanation:

pls mark me as brainliest!!<3

ʟɪᴠɪɴɢ ᴏɴ ᴛʜᴇ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ, ᴀ ᴘᴄ's ᴄʜɪᴘsᴇᴛ ᴄᴏɴᴛʀᴏʟs ᴛʜᴇ ᴄᴏᴍᴍᴜɴɪᴄᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴄᴘᴜ, ʀᴀᴍ, sᴛᴏʀᴀɢᴇ ᴀɴᴅ ᴏᴛʜᴇʀ ᴘᴇʀɪᴘʜᴇʀᴀʟs. ᴛʜᴇ ᴄʜɪᴘsᴇᴛ ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴀɴʏ ʜɪɢʜ-sᴘᴇᴇᴅ ᴄᴏᴍᴘᴏɴᴇɴᴛs ᴏʀ ᴜsʙ ᴅᴇᴠɪᴄᴇs ʏᴏᴜʀ ʙᴇsᴛ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ ᴄᴀɴ sᴜᴘᴘᴏʀᴛ

Henry planted 24 tomato plants and 18 green bean plants in his garden. Simon planted 30 tomato plants and 25 green bean plants in his garden.
The ratio of tomato plants to green bean plants is
A. the same or B. different for the two gardens.

Answers

Answer:

Its different.

Step-by-step explanation:

Henry's garden:

divide 24 and 18 by 6: you get 4:3 ratio of tomato:green bean

Simon's garden:

divide both 30 and 25 by 5: you get 6:5 ratio of tomato:green bean.

if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?​

Answers

Answer:

120°

Step-by-step explanation:

A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

Where θ is the angle which forms the sector and r is the radius of the circle.

Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]

Identify the number of solutions for the equation below:

Answers

The answer is no solution because the slopes are equal.
Brainliest maybe:)
Have a good day!

Help I will mark brainliestttt

Answers

Answer:

20

Step-by-step explanation:

5+0.65t=10+0.45t

0.25t=5

t=20

find the measurement indicated in each parallelogram

Answers

QR is congruent to PS
So if QR is 17.7 PS is 17.7
Answer 3.) PS equals 17.7

Answer:

QR=PS in a parallelogram

Therefore, 17.7 is the right answer.

A florist is making bouquets. Draw lines to match each
description with the number of bouquets she can make.
52 bouquets
630 roses with 10 roses in each bouquet
53 bouquets
640 roses with 12 roses in each bouquet
54 bouquets
975 roses with 18 roses in each bouquet
63 bouquets
1,250 roses with 24 roses in each bouquet

Answers

Answer:

1) 630 roses with 10 roses in each bouquet  = 63 bouquets

2) 640 roses with 12 roses in each bouquet  = 53 bouquets

3) 975 roses with 18 roses in each bouquet  =  54 bouquets

4) 1,250 roses with 24 roses in each bouquet = 52 bouquets

Step-by-step explanation:

We need to match each  description with the number of bouquets that can be made.

Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.

The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]

1) 630 roses with 10 roses in each bouquet

Total roses = 630

Number of roses in each bouquet = 10

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]

So, 63 bouquets can be made.

2) 640roses with 12 roses in each bouquet

Total roses = 640

Number of roses in each bouquet = 12

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]

So, 53 bouquets can be made.

3) 975 roses with 18 roses in each bouquet

Total roses = 975

Number of roses in each bouquet = 18

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]

So, 54 bouquets can be made.

4) 1,250 roses with 24 roses in each bouquet

Total roses = 1250

Number of roses in each bouquet = 24

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]

So, 52 bouquets can be made.

Square ABCD has diagonals AC¯¯¯¯¯

and BD¯¯¯¯¯

. What is m∠ABD

A

180º

B

90º

C

45º

D

360º

Answers

Answer:

option (c)

Step-by-step explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABC = 90^\circ[/tex]

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]

[tex]\angle ABD = 45^\circ[/tex]

Hence, option (c) is correct.

I need help my teacher never taught me well

Answers

Answer:

3:20

Step-by-step explanation:

Answer:

4:18

hope it helps.....

Need answers for #3 please hep

Answers

I got the 12 for my answer

Which of the following best describes the slope of the line below?

Answers

Answer:

It would be negative

Explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment lists points on each graph.

a) The equation for a horizontal line is ...

  y = constant

Here, the output value is always 5, so that is the constant in the equation:

  y = 5

__

b) The graph is a straight line through the origin, so the equation is that of a proportion:

  y = kx . . . . . for some constant of proportionality k

Using the point (x, y) = (-4, 2), we can find k from ...

  k = y/x = 2/(-4) = -1/2

The equation of the line is ...

  y = -1/2x

__

c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...

  m = rise/run = 3/1 = 3

The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 3x - 2

_____

You can check that the equation is satisfied by each of the points listed. For example, ...

  a) in = -4, out = y = 5 . . . matches table

  b) in = 2, out = y = -1/2(2) = -1 . . . matches table

  c) in = 1, out = y = 3(1) -2 = 1 . . . matches table

(You can check the other table values.)

Solve pls

for the function -2x²+x+1 find f(3)

Answers

Answer:

f(3) = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + x + 1

f(3) is x = 3

Step 2: Evaluate

Substitute:                    f(3) = -2(3)² + 3 + 1Exponents:                   f(3) = -2(9) + 3 + 1Multiply:                        f(3) = -18 + 3 + 1Add:                              f(3) = -15 + 1Add:                              f(3) = -14

Which number is a reasonable estimate for 637x35?

Answers

Answer:

20,000

Step-by-step explanation:

if you multiply those numbers you get 22,295 which rounds to 20,000

Estimate:

26k

Out of the answer choices you commented on another answer, that's the one I chose.

how to solve proportions ​

Answers

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

DIRECTIONS: Use this information to answer Parts A, B, and C.
A traffic cone has a diameter of 10 inches and a height of 27 inches.
Part A
Find the volume of the cone.

Answers

Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

Formula: V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h ---> V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])(27)

And put the plugged in formula in your calculator and you'll find the answer!

V=706.85

I hope this helped.

Please please help please please ASAP

Answers

Answer:

A. 21 / 29

Step-by-step explanation:

with reference angle X

base (b) = 21

hypotenuse (h) = 29

Now

Cos X = b / h

= 21 / 29

Hope it will help :)

A game store owner buys a Nintendo Switch game for $22.50 and sells it with a 40% mark up. What is the retail price?

Answers

Answer: $31.50

Step-by-step explanation:I think; $22.50 x .40=9

$22.50+9=$31.50

Iesha is headed to the grocery store. She needs to buy eggs. If a dozen (12) eggs cost $10.68 how much will one egg cost at the same rate?

Answers

Answer:

$0.89 in other words 89 cents

Step-by-step explanation:

$10.68/12= 0.89

The answer above should be correct, but I believe it is, but can you please mark me BRAINLEST?

please answer quickly​

Answers

Step-by-step explanation:

Supplementary angles add up to 180°. so,

2x+15 + 3x+5 = 180

5x+20=180

Subtract 20 from both sides

5x=160

Divide both sides by 5

x=32

Plug that into 2x+15, F = 64+15 = 79

for 3x+5, G = 96 +5 = 101

Really need this B is perimeter D is volume if you couldn't see it.​

Answers

Answer:

B

Step-by-step explanation:

yea

Answer:

a) area

Step-by-step explanation:

well you just need to find the carpet area. carpet is just for the floor, so you don't need the perimeter, volume is for 3D figures, and surface area is for the outside of an object. carpet is a 2D figure, so the answer is a) area :)

hope this helps!

Simplify:
√36a^3b^4

A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3

Answers

Your answer is A !!
Can you mark me BRAINLEST

complete the addition equation that represents the associative property

Answers

1). 7....12
9....11
2). 8....9
3....9
That should be correct try that

Can someone please help me with this

Answers

Answer: x = 40

The equation you would write would be 2x + x + 60 = 180.

This is because you have to add all the angles inside the triangle in order to get 180°. Then, you solve the equation.

2x + x + 60 = 180
Add all the like terms.
3x + 60 = 180
Subtract 60 on both sides.
3x = 120
Divide 3 on both sides.
x = 40
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