For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 8/17. Find the value of cos(A-B)cos(A−B) in simplest form.

Answers

Answer 1

Answer:

sin(A+B) = sinAcosB+sinBcosA

if cosA = 9/41 then sinA =j40/41 It's a 9-40-41 right triangle

if tanB =21/20 then sinB =21/29 and cosB= 20/29 It's a 20-21-29 right triangle

plug those values into 1st equation above

sin(A+B) = 40/41(20/29) + 21/29(9/41) = ((40)20 + (21)9))/29(41) = (800+189)/1189 = 989/1189 = 0.832

or you could have just found A and B initially. cosA = 9/41 means A = 77.32 degrees

tanB = 21/20 means B = 46.4

A+B = 123.72

sin(123.72) = 0.832

Exact answer though without rounding is sin(A+B) = 989/1189

Answer 2

Answer:

672/697

Step-by-step explanation:

Mane I know y’all just want the answer lol so it’s simplest form is 672/697


Related Questions

helpp me plzzzzzzzzz plz​

Answers

Answer:

A

Step-by-step explanation:

Answer : A
Explanation:-


Your friend has w blueberries. You have 13 blueberries. You and your friend
have a total of 40 blueberries. Write an equation that you can use to find w.

Answers

Answer:

x = 27. The friend has 27 bluberries

Step-by-step explanation:

x + 13 = 40

    -13   -13

x = 27

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D

-Lil G

algebra due soon in a few pls hurry thx

Answers

Answer:

(x, y) --> (x - 1, y - 4)

Step-by-step explanation:

I already answered this, the x coordinate goes one to the left and the y coordinate goes down by 4.

Stephen rolls a fair dice 78 times. How many times would Stephen expect to roll a number greater than 2?

Answers

Answer:

52 times

Step-by-step explanation:

Given

[tex]n = 78[/tex] -- Number of times

Required

Determine the expected times to get > 2.

In a fair dice, the outcome > 2 are:

[tex]>2 = \{3,4,5,6\}[/tex]

The probability of the above is:

[tex]p = \frac{4}{6}[/tex]

[tex]p = \frac{2}{3}[/tex]

The number of times is calculated using:

[tex]E(x) = n * p[/tex]

[tex]E(x) = 78* \frac{2}{3}[/tex]

[tex]E(x) = \frac{78* 2}{3}[/tex]

[tex]E(x) = \frac{156}{3}[/tex]

[tex]E(x) = 52[/tex]

Yvette is making a large cheese platter for a party. She uses 3.6 pounds of yellow cheese and 1.5 pounds of white cheese.
How many pounds of yellow cheese does she use per pound of white cheese?
O A 0.4 pounds
O B. 2.1 pounds
O c. 2.4 pounds
O D. 3.1 pounds
O E. 5.1 pounds

Answers

Answer:

B

Step-by-step explanation:

Help Me!!!I will failll please they never taught me this!!!!

Answers

Answer:

the answer x algorithm happy fail day

Answer:

I think it's 0,36 try it you'll never fail this

You buy halibut at $25 per pound.one portion of seared halibut requires 6 ounces of halibut.how much does the halibut for one portion cost ?

Answers

Answer:

$9.38

Step-by-step explanation:

halibut is measured in pounds and a portion is measured in ounces

in order to determine the cost, the two units have to be comparable. So, ounces have to be converted to pounds

1 ounce = 0.0625 pounds

6 ounces = 0.0625 x 6 = 0.375 pounds

0.375 pounds would cost 0.375 pounds x 25 pounds = $9.38

Garth has a collection of postcards from
around the world, and he has organized
them in albums. Each album holds
480 postcards. His collection already
fills two albums and one-fourth of
another album. How many postcards
does Garth have?

Answers

Answer:

1080

Step-by-step explanation:

480 + 480 + 1/4(480) = 1080

Answer:

1080 postcards

Step-by-step explanation:

WIth 2 full albums you take 480 and multiply it by 2 to get 960 and 1/4 of 480 is 120 because we divide 480 by 4 to get that and if we add 120 to 960 we get 1080.

what is another name for L4

Answers

Answer:

Answer H

Step-by-step explanation:

help plz . i need to get these study questions right

Answers

Answer:

its the one you have selected

Step-by-step explanation:

you have to ask something about your assignment

and its the one you have selected

have a nice day!

100% Heyburn Elementary sold 694 books during their book fair. They had 488 books left when it was over. How many books did they have at the beginning of the book fair? O A. 206 OB. 214 O C. 1072 OD. 1082 E. 1182.


Pls I need the answer before I get yelled at for being on the same question for a long time​

Answers

The answer is e)1182
Bc they sold 694 books and ended with only 488 so you add both numbers to get the answer

The figure below is made of two triangular prisms. What is the volume of the figure?

Answers

It’s the second one!

Answer:

1792

Step-by-step explanation:

Find the surface area of the solid figure.
10 ft
10 ft
6 ft
15 ft
16 ft
ft
ft
Perimeter of base =
Height =
Base area =
The surface area is
ft2
square feet.

Answers

Answer:

Step-by-step explanation:

Perimeter of the triangular base = 10 + 10 + 16

                                                      = 36 ft

Height of the prism = 15 ft

Base area = Area of the triangle

                 = [tex]\frac{1}{2}(\text{Base})(\text{Height}})[/tex]

                 = [tex]\frac{1}{2}(16)(6)[/tex]

                 = 48 square ft

Surface area of the triangular prism = 2(base area) + (perimeter × height)

                                                            = 2(48) + 36(15)

                                                            = 96 + 540

                                                            = 636 square ft

What is the reciprocal of 3?

Enter your answer in the space below, using a slash mark ( / ) as a fraction bar when needed.

Answers

The reciprocal of 3 is 1/3.

The basketball team is fixing barbeque plates as a fund-raiser. Their expenses totaled $1,112. If they make S7.50 per ticket, what is the minimum number of plates they must sell to make a profit?​ this is involving < and >

Answers

Answer:

149 tickets

Step-by-step explanation:

just simple division-

1112/7.50= 148.27

so, 148 tickets would not quite do it- they'd have to sell 149

Your soccer coach requires you to run 10
laps. You run 12 laps. What percent of the
required laps did you run?


and maybe this one- hehe-

Answers

120%

12/10 = 1.200000

- Algebraically find the x-coordinates where the line y = 2x – 3 intersects the circle (x – 3)' +(y+1)* = 68.

Answers

wouldn’t it be -3? i’m not sure tho but if y=2x-3 and the circle is (x-3)+(y+1) they both have (-3)

3^2x+1 +9 = 3^x+3 +3^3​

Answers

Answer:

-4

Step-by-step explanation:

Since they all have the same base;

2x+1+9=x+3+32x-x=3+3-1-9x=6-1-9x=6-10x=-4

please help me i really need help please

Answers

Answer:

2 = 18, 3 = 73

Step-by-step explanation:

2) 22+140= 162

180-162= 18

x=18

(180 ‘cuz that’s the full angle of a triangle)

——————————————————————

3) the right angle is a 90 degree angle so

17+90=107

180-107=73

x=73

(2,2) and (2,-2) slope?

Answers

Answer:

Undefined.

Step-by-step explanation:

Slope is equal to the change in y over the change is x, or rise over run.

[tex]m=\frac{change in y }{ change in x}[/tex]

The change in x is equal to the difference in x-coordinates, and the chnage in y is equal to the difference in y-coordinates.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Substitute in the values of x and y into the equation to find the slope.

[tex]m= \frac{-2-(2)}{2-(2)}[/tex]

Simplify it. since -2-(2) and 2-(2) = nothing, the Slope is Undefined.

Hence, the slope is Undefined.

Answer:

Undefined

Step-by-step explanation:

Hope this helps

1) In your own words, explain when (-3)n is positive and when it is negative.​

Answers

-3n is negative when the value of n is positive. When the value of n is negative, the value of -3n is positive. Remember that when multiplying a positive and a negative, the product will be negative. If you are multiplying two numbers with the same sign, the product will be positive.

3x + 2x + 5 pls help

Answers

Answer:

3x+2x= 5x

5x+5

Let's simplify step-by-step.

3x+2x+5

Combine Like Terms:

=3x+2x+5

=(3x+2x)+(5)

=5x+5

Answer:

=5x+5

PLZ HELP!!! I NEED THIS ANSWER FAST!
thank you :)

Answers

Answer:

B

Step-by-step explanation:

Branliest plss. It will make my day :-)

The answer is B because greater than or equal to is a closed circle and it’s pointing to the greater numbers

solve the following proportion 3/((x-2))=5/15

Answers

Answer:

x = 11

Step-by-step explanation:

Given

[tex]\frac{3}{x-2}[/tex] = [tex]\frac{5}{15}[/tex] ( cross- multiply )

5(x - 2) = 45 ( divide both sides by 5 )

x - 2 = 9 ( add 2 to both sides )

x = 11

helpp me plzzzzzz plzz​

Answers

Answer:

I would help but I don’t know what all of those symbols are.

The storage space of a truck is in the shape of a rectangular prism. It is 9 ft wide, 20 ft long, and 6 feet tall. How many cubic feet of cargo can the truck hold?

Answers

It should be about 1,080

How do you find the volume of a pyramid height 10 length 8 width 6?

Answers

Answer:

just multiply everything together, to get volume.

Answer:

The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height.

Step-by-step explanation:

LeBron James buys a basketball for $20 and a 3-pack of socks for $5.50. He has a coupon for 20% off of his total purchases. Lebron has $15. Will he have enough money? If he has enough money, how much will he have left over? If he does not have enough money, how much more will he need? Explain your reasoning.

Answers

answer:

does not have enough money

What is the surface area of the cone?

Answers

Using the formulas
A = pi r l + pi r^2
l = squared r^2 + h^2

A = 130.72951

They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
A. Calculate the volume of the rectangle ABCD
B. Calculate the circumference of the BCD triangle
C. Calculate the circumference of the BEC triangle
D. Calculate the circumference of the DEC triangle

Answers

Answer:

A. Area of ABCD = 240 [tex]cm^{2}[/tex]

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A.  Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

                                                     = 24 x 10

                                                     = 240 [tex]cm^{2}[/tex]

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

[tex]BD^{2}[/tex] = [tex]BC^{2}[/tex] + [tex]DC^{2}[/tex]

       = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]

       = 676

BD = [tex]\sqrt{676}[/tex]

     = 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

                                         =   60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

     = 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

                                                                 = 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

                                                                 = 50 cm

       

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