For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.

Answers

Answer 1

Answer:

33/16

Step-by-step explanation:


Related Questions

Micah’s bill for dinner was $35.50. He left the server an 18% tip. How much money did Micah leave for the tip?Enter the correct answer in the box.

Answers

Answer:

$41.89

Step-by-step explanation:

100%=35.50

1%=0.3550

18%=6.39

$35.50+6.39=$41.89

Answer: 49.89 percent

Step-by-step explanation:

Be a good boy

help me please!! and thank you ​

Answers

Answer:

y=-5+15.5

Step-by-step explanation:

y = 5+15 -5
Yerrrrrrrrrrrrr

Peter watches 345 more American movies than Chinese movies. the ratio of Chinese movies to American movies is 4:7 . how many American movies does Peter watch?​

Answers

Peter watches 805 American movies and 460 Chinese movies.

Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.

Since he watches 345 more American movies than Chinese movies. Hence:

x = y + 345

x - y = 345    (1)

Also:

x + y = z

x + y - z = 0  (2)

The ratio of Chinese movies to American movies is 4:7. Hence:

(4/11)z = y

-y + (4/11)z = 0   (3)

Solving equations 1, 2, and 3, simultaneously gives:

x = 805, y = 460 and z = 1265

Hence, Peter watches 805 American movies and 460 Chinese movies.

Find out more at: https://brainly.com/question/16763389

the value of /14-15/ is​

Answers

1
/14-15/ is 1 as // won’t be negative as absolute value is always positive

Put the following equation of a line into slope-intercept form, simplify all fractions 8x + 20y = -120

Answers

Hello there! :)

8x+20y=-120

We want to put this equation into slope-intercept form (y=mx+b)

First, let's move 8x to the right side:

20y=-120-8x

Now, we divide both sides by 20 to isolate y:

y=-8/20-6

Simplify the fraction:

y=-2/5-6

Hence, that's our equation. Hope it helps you! (:

If you have any queries, feel free to ask me! :)

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Which pairs of numbers are equivalent?

Select each correct answer.


15/8 and 1 7/8

35/4 and 8 3/4

23/6 and 4 1/6

11/4 and 2 1/2

40/12 and 3 1/3
i need this fast

Answers

Answer:

4 an 5

Step-by-step explanation:

Answer:

15/8 and 1 7/8

35/4 and 8 3/4

40/12 and 3 1/3

Step-by-step explanation:

15/8 and 1 7/8:

Convert the improper fraction into a mixed number: [tex]\frac{8+7}{8}[/tex]

Calculate the sum or difference: [tex]\frac{15}{8}[/tex]

Check equivalency: True

Answer: True

=================================================================

35/4 and 8 3/4

Convert the improper fraction into a mixed number:  [tex]\frac{8*4+3}{4}[/tex]

Calculate the product or quotient: [tex]\frac{32+3}{4}[/tex]

Calculate the sum or difference: [tex]\frac{35}{4}[/tex]

Check equivalency: True

Answer: True

================================================================

23/6 and 4 1/6

Convert the improper fraction into a mixed number: [tex]\frac{4*+1}{6}[/tex]

Calculate the product or quotient: [tex]\frac{24+1}{6}[/tex]

Calculate the sum or difference: [tex]\frac{25}{6}[/tex]

Check equivalency: False

Answer: False

===============================================================

40/12 and 3 1/3

Reduce the fraction: 10/3

Convert the improper fraction into a mixed number: [tex]\frac{3*+1}{3}[/tex]

Calculate the product or quotient: [tex]\frac{9+1}{3}[/tex]

Calculate the sum or difference: [tex]\frac{10}{3}[/tex]

Check equivalency: True

Answer: True

================================================================

11/4 and 2 1/2

Convert the improper fraction into a mixed number: [tex]\frac{2*+1}{2}[/tex]

Calculate the product or quotient: [tex]\frac{4+1}{2}[/tex]

Calculate the sum or difference: [tex]\frac{5}{2}[/tex]

Check equivalency: False

Answer: False

A new video streaming and renting company Webflix claims it is better than its competitors. They charge $3.00 per month plus $1.25 per rental of new movie releases. A close competitor refutes the claims of Webflix and stated that they are actually better than its competitors. Zulu charges $4.00 per month plus
$1.00 per rental of new movie releases.

a) If you rent 7 movies, which streaming service would cost more? Explain/show your reasoning

b) Write a system of equations representing the total costs of the two streaming companies based on x
movie rentals.

c) How many movie rentals would it take for the streaming services to cost the same? Explain/show
your reasoning

d) Make an argument on which streaming service is the better cost.

Answers

Answer:

A

Step-by-step explanation:

I I think that's the answer

help please will give brainliest !!!!

Answers

Answer:

a) alternate interior angles

b) vertical angles

c) corresponding angles

d) linear pair

Step-by-step explanation:

Alternate interior angles:

formed when a transversal intersects two lines on the same plane located on the inside/interior side of the parallel lines, but they're on the opposite sides  these angles are congruent Example: angles D and E

Vertical angles:

pair of opposite angles formed by lines that intersect these angles are congruentExample: angles E and H

Corresponding angles:

angles that have the same relative position, formed by a transversal intersecting two parallel lines these angles are congruent  Example: angles A and E

Linear pair:

pair of adjacent angles formed by two intersecting linesangles have measures that add up to 180 degreesExample: angles C and D

how do you turn radius into cm​

Answers

Answer:

depending on the question I suggest only converting at the end

sorry if it doesn't help

by the way a cm needs to be times by 100 to become a meter

A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.

Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?

Answers

Answer:

Step-by-step explanation:

Find the perimeter of the shape on this centimetre grid.​

Answers

the perimeter is 22 cm :)

3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.

Answers

Answer:

6.4

Step-by-step explanation:

5+7+7+5+7+7+6+7+7 = 58

There are 9 numbers

58 ÷ 9 = 6.444444

To the tenth = 6.4

How would I graph this equation: 3x + 9y = −18

Answers

We have 3x + 9y = -18
=> 3(x + 3y) = -18
=> x + 3y = -3
=> x + 3 = -3y

Ok done. Thank to me :>

There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold? ​

Answers

You start with 75 houses

2/5 were sold, which mean 3/5 remain
3/5 of 75 is 45

Then, 1/3 of the REMAINING (45) houses were sold. Since 1/3 were sold, 2/3 remain of 45.
2/3 of 45 is 30

30 houses are left to be sold

[tex]3\frac{3}{4} +8\frac{3}{4}[/tex]

Answers

15/4+35/4
25/2
12 1/2
Hope this helped
Ok done. Thank to me:>

Tell whether the given value is a solution of the inequality.

Answers

Answer:

Step-by-step explanation:

8p < -3

  if p = -2

8* -2 < -3

  -16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3

Answer asap pleaseeeee

Answers

Answer:

I am not certified because I also struggle with these but-

it might be

A. t = -5h-4

Step-by-step explanation:

For the answer A in the paragraph it states that the temperature was 4 degrees BELOW 0 meaning we shall put as -4° and each HOUR it keep going down 5 degrees so I would suppose it would be answer A.

what percentage of this grid is shaded

how many more squares need to be shaded so that 60% of the grid is shaded?

Answers

Answer:

44%, and 4

Step-by-step explanation:

The grid has 5 rows and 5 columns so we have 5*5 = 25 squares.

25 squares represent 100 %  of the grid

a) In the grid 11 of the 25 total squares are blue, so if

25 squares are 100%

11 squares will be x%

x= (11* 100) / 25 = 1100/ 25 = 44 %

b) we find the number of squares that gives us 60 %

25 squares are 100%

x squares will be 60%

x= (60*25)/ 100 = 15

The question is " How many more squares " so we have to compare with the 11 given ones in part a)

15 -11 = 4

4 more squares will give 60 %  blue grid.  

The answer should be 25 squares is 100 percent

Lanzar dos monedas

¿Cuál es la probabilidad de obtener como mínimo un sello?

a) 1/4

b) 2/4

c) 3/4

d) 4/4

Answers

la probabilidad es de 2 uwu

HELP ME PLEASE
A newly made car will have a model number, a parts number, and a serial number. A model number is assigned by the manufacturer to identify each type of car. A parts number identifies one part of the smaller parts that make up the car. A serial number is unique to each car produced and identifies it.

Which relation is a function? (2 points)

(parts number, serial number)
(model number, parts number)
(serial number, model number)
(serial number, part number)

Answers

Answer:

(serial number, model number)Step-by-step explanation:

4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?

Answers

The number of white sweaters will be 8 while the number of blue sweaters will be 22.

Let white sweaters be represented by w.Let blue sweaters be represented by b

Therefore, the equation to solve the question will be:

b + w = 30 .....i

420b + 398w = 12424 .... ii

From equation i, b = 30 - w

Since 420b + 398w = 12424

420(30 - w) + 398w = 12424

12600 - 420w + 398w = 12424

Collect like terms

- 420w + 398w = 12424 - 12600

-22w = - 176

w = 176/22 = 8

Since b + w = 308

b = 30 - 8 = 22

Therefore, there are 8 white and 22 blue sweaters.

Read related link on:

https://brainly.com/question/25734188

Sofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, X. Y =​

Answers

Answer:

y= (10*x)+5.5

Step-by-step explanation:

B)

Answer:

y = 10x + 5.5

Step-by-step explanation:

We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.

So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.

Hopefully that's helpful! :)

what is the quotient of 3/4 and 5/8

Answers

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

please can someone help me with this question. I will mark as brainliest!​

Answers

Add all the sides
Then add the similar terms
Hope this helps

Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number of teachers?

Write your answer as two numbers separated by a colon (for example, 2:3).

Answers

Answer:

10:32

Step-by-step explanation:

32-22=10 male teachers

what is the solution of this equation?
2y=24

Answers

2y= 24
Divide both sides by 2
2y/2 = 24/2
This will equal to: y=12

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

At the end of which day does Tyler have 2750 feet left to climb?

Answers

okay is there no graph or anything because this doesn’t make sense

Can someone help me

Answers

For the first question = no because no sides matchup

!! please help me i’ll mark brainliest !!

Answers

Answer:

1/2=(A+B)

area of triangle=1/2×base×height

Please help, this is timed :))

Answers

This is the right answer

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