Which expression is equivalent to cos(40°)cos(10°) + sin(40°)sin(10°)?

sin(40° – 10°)
cos(40° + 10°)
sin(40° + 10°)
cos(40° – 10°)

Answers

Answer 1

Answer:

Cos ( 40 + 10)

Step-by-step explanation:

The expression Cos( A + B)

Can be written as;

CosA CosB - SinASin B

Applying this particular case in this question;

Cos (40 + 10) = cos 40cos 10 - sin 40 sin 10

Answer 2

Answer:

its cos(40-10)

Step-by-step explanation:


Related Questions

solution for 3/4x - 12 = -18?

Answers

Answer:

x = -8

Step-by-step explanation:

Add 12 on both sides

You get 3/4x = -6

Multiply 4/3 on both sides

You get x = -24/3

Simplify and you get -8.

Answer:

x=-8

Step-by-step explanation:

The reason why x is -8 is because

The first step is to isolate the x

To isolate the x you got to add 12 to both sides

[tex]\frac{3}{4}[/tex]x-12+12=-18+12

the -12 gets canceled out by the positive twelve so all thats left now is

[tex]\frac{3}{4}[/tex]x=-18+12,-18+12 is -6 so its  [tex]\frac{3}{4}[/tex]x=-6

The second step is to divide

now you have to divide by [tex]\frac{3}{4}[/tex] on both sides

[tex]\frac{\frac{3}{4} x}{\frac{3}4} } =\frac{-6}{\frac{3}{4} }[/tex]

which [tex]\frac{3}{4}[/tex] is taken out on the left side because its divided by itself so all thats left is a one,while on the right side -6 divided by three-fourths is -8

Write an absolute value equation with a vertex of (7,0) that passes through the point (2,-3)

Answers

Answer:

Not sure sorry!

Wish that I could help!

Step-by-step explanation:

Answer:

Wait do we actually have to answer it? XD

Step-by-step explanation:

5 - 2y + 1/3 + y^3 - 10y for y = 4
I solved this equation but I'm not sure if I got the answer correct and if I messed up somewhere when I was solving it then I got my answer wrong. So if someone could please help me that would be very much appreciated!!!!!

Answers

Answer:

4

Step-by-step explanation:

i think i am correct but if im not sorry

Please help me right away and you will get 12 points I need it done today so plz help me

Answers

Answer:

all u have to do is add up the denominator and numerators together because just because u see something as an add problem it's still more stuff to add 6+8=14 7+5=12 add up 14+12=26+blank=what

Step-by-step explanation:

hopefully this helped

I need help in this test please

Translation
Reflection
Dilation
Rotations

Answers

The answer is rotations

Answer:

I believe the answer is rotations.

Find the coordinates of the midpoint of segment AB with endpoints A(-2,3) and B(5,-2)

Answers

Answer:

The coordinates of the midpoints are (3/2, 1/2)

Step-by-step explanation:

To  find the midpoint you must se the midpoint formula. Using this formula, when you plug in the points given and you simplify, you find out the midpoint is the coordinates (3/2, 1/2). I hope this helps!

The coordinates are 3,2 and 1,2


. Find the coefficient of x3 in the expansion of (3+2x+x2)6

Answers

Answer: 9180

Step-by-step explanation:

(3 + 2x + x^2)^6 = x^12 + 12x^11 + 78x^10 + 340x^9 + 1095x^8 + 2712x^7 + 5284x^6 + 8136x^5 + 9855x^4 + 9180x^3 + 6318x^2 + 2916x + 729

This can be found using Pascal's Triangle.

The coefficient of x^3 is 9180.

What is the distance between (-5, 4) and (-6, 2)? Round your answer
to the nearest ten

Answers

Step-by-step explanation:

apply distance formula

In Europe, the speed limits on the highways are posted in kilometers per hour. In the United States, the speed limits are posted in miles per hour. What is the equivalent rate of 65 miles per hour in kilometers per hour?

Answers

i believe the answer is 104 km per hour. correct me if i’m wrong anyone.

Five less than three times a number is 1. Find the number

Answers

Answer:

n = 2

Step-by-step explanation:

Step 1: Write equation

"Five less" = subtract 5

"three times a number" = 3 × n, or 3n

"is 1" means = 1

3n - 5 = 1

Step 2: Solve for n

Add 5 to both sides: 3n = 6Divide both sides by 3: n = 2

Please help with this problem ,
what is 5 x 6

Answers

Answer:

the answer is 30

Answer:

30

Step-by-step explanation:

6+6=12

12+6=18

18+6=24

24+6=30

Can someone give me an idea for a blog for class. I need a topic about things going on in the world ​

Answers

Answer:

I think a great one would be about Corona virus but if you dont

want to do that one another one could be population increase.

Hope this helps!

f Chad drove 168 miles in 2 hours, how many hours will it take Chad to drive 840 miles traveling at the same rate?

Answers

10 hours

840/168=5
5•2=10 (total number of hours)

Multiply. Enter the product in simplest form.
1/8×2/5
Multiply. Enter the product in simplest form.
2/9×7/8
Multiply. Enter the product in simplest form.
5/8×4/5
Multiply. Enter the product in simplest form.
4/3×2/7
Multiply. Enter the product in simplest form.
7/25×20/21 The product is
Multiply. Enter the product in simplest form.
5/6×1/5 The product is
Multiply. Enter the product in simplest form.
5/8×32
Multiply. Enter the product in simplest form.
5/8×24
Multiply. Enter the product as an improper fraction in simplest form.
1/5×6
Multiply. Enter the product as an improper fraction and mixed number in simplest form.
1/8×10

Answers

Answer:

1. {1/20} 2. {7/36} 3. {1/2} 4. {8/21} 5. {4/15}

6.{1/6} 7.{ 20} 8. {15} 9. {1.2} 10. {1.25}

Step-by-step explanation:

Which describes the slope of the given line?

A. undefined

B. positive

C. zero

D. negative​

Answers

Answer:

A. underlined

hccuv. huffy. kgigcgi igog if. lnhv

negative, because it is slightly decreasing (going down as it goes right).

Positive would be slanting up

Undefined would be vertical.

Zero would be horizontal.

It has a negative slope.

Simplify: -2(7m -8n -5p)

............................................

Answers

Answer:

-14m + 16n + 10p ________

3/4 divided by 1/2 what do you guys think?

Answers

Answer:

It is 1 1/2

Step-by-step explanation:

When you divide a fraction, it multiplies

So instead of dividing by 1/2, multiply by 2

Answer:

2 / 3

Step-by-step explanation:

( 3 / 4 ) / ( 1 / 2 )

= ( 3 x 2 ) / ( 4 / 1 )

= 6 / 4

= 2 / 3

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

1/49 is the answer

Step-by-step explanation:

you notice a hot air balloon is sending the elevation H in feet of the balloon is modeled by the function h x equals 6X + 90 where X is the time in second since you first noticed the hot air balloon​

Answers

Answer: you should ask your teacher for help...

Step-by-step explanation:

Answer:

1. 0    

2. 0    

3. 6

4. 6

5. 90

6. 90

Step-by-step explanation:

x is greater than or equal to 0, and h is greater than or equal to 0, because since it is ascending, it is constantly getting more time, and getting higher up. The slope is 6, so the change of the feet for the hot air balloon is 6 feet per second, and the h- intercept is 90, so the first time you noticed it, is was at 90 feet, so put your points at (0,90) and at (30, 180)

(-3√ -81)(-5+√ -9)+9i

Answers

Answer:

144i + 81

Step-by-step explanation:

(-3*9i)(-5 + 3i) + 9i

-27i (-5 + 3i) + 9i

FOIL

135i + 81 + 9i

144i + 81

a certain map shows two roads. road a is 1 1/4 miles long but is 1 1/2 inches long on the map. what the unit rate for inches per miles on this map? if road b is 10 miles long, how long is road b on the map?

Answers

Answer:

30 inches

Step-by-step explanation:

Length of road A = 1¼ miles

Length of road A on map = 1½ inches

Unit rate for inches per miles on the map = 1½ inches ÷ 1¼ miles = ³/2 ÷ ⁵/4 = ³/2 × ⅘ = ⁶/5 inches per mile

Length big Road B on map:

Road B actual length = 10 miles

Thus, using the unit rate of ⁶/5 inches to 1 mile, length of road B on map would be calculated as shown below:

⁶/5 × 10 = 6*5 = 30 inches

Road B is 30 inches long on the map.

passes through (-8.-1) and has a zero slope

Answers

Answer:

y = -1

Step-by-step explanation:

A zero slope is a horizontal line

it is of the form

y=

The y coordinate is -1

y = -1

Divide.
[tex] \frac{ - 15}{ - 5} [/tex]
I am very confused.​

Answers

Answer:

3

Step-by-step explanation:

when dividing a negative and a negative it will always be positive remember

and so it is 15/5=3

Answer:

3

Step-by-step explanation:

[tex]\frac{-15}{-5}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\\\=\frac{15}{5}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\\\=3[/tex]

Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet



A
B
C
D

Answers

Answer: Choice C{ (-2,2), (0,2), (7,2), (11,2) }

Here we don't have any repeated x values.

In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.

Side note: the y values can repeat, but the function won't be one-to-one.

(-8 - 9i)(-3+6i) standard form

Answers

Answer:

78 - 21i

m a t h w a y will help you :)

X + (-9) = 32
What is the answer

Answers

Answer:

the answer to x+(-9)=32 is x=41

X=41 will be the answer for this

Can anyone help? Worth 10 points.

Answers

Answer:

X= 8 Y=6

Step-by-step explanation:

The Y increases 6 for every X value which increases by 2

The constant proportionality is k=3 because when you multiply 3 for all the x’s you get the y’s

PLEASE HELP NOW!!
On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?

Answers

Answer:

Point B is located where x is negative and y is positive.

Hope this helps!!

True or False: In a ratio table, the ratios are equivalent.

Answers

Answer: True

Step-by-step explanation:

Aline has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is

Answers

(0,6) & (3,0)

m = (y2-y1)/(x2-x1)

m = (0-6)/(3-0)

m = -6/3

m = -2

Substitute the values in y = mx + c

0 = -2(6) + c

c = 12

Thus, the equation is y = -2x + 12

Answer:

y=2x-6

Step-by-step explanation:

You can plug this into the slope formula, x-intercept of 3 would be (3,0)

and y intercept of -6 would be (0,-6).  

Find the slope using the slope formula. The slope is 2

We are given a y-intercept of -6

therefore, the answer is y=2x-6

Other Questions
the amplitude of a wave is measured from A. Trough to trough B. Crest to resting positionC. Crest to crestD. Crest to trough Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?$0.68$0.78$3.10$4.10 3) Which of the following civilizations existed only in East Africa? *O The Swahili CoastO The Mali EmpireO The Abbasid CaliphateO The Khmer Dynasty Which of the following languages came into existence after 1000 as the direct result of expanding global trade patterns? A decrease in the decomposers within an ecosystem would have what effects on the carbon cycle? Which writing purpose would most likely require an informal style? 1.It took Lucy two hours to read the first 108 pages of a book. She read the last 48 pages in 75 minutes. What was Lucys average reading rate for the entire book in pages per hour? When an instrumental composition is associated with a story poem or Scene is called The original price of a t.v. was $500. Mrs. Nitz bought the t.v. on sale for $175. What a deal!!! Find the percent discount. BE CAREFUL...the t.v. was expensive but she got a big discount on it. Which air mass ALWAYS goes to the bottom when a warm and a cold air mass meet? A. You will take the Atlanta Taxi Inc. cab when you are going less than 3 miles because it will be faster.B. You will take the Atlanta Taxi Inc. cab when you are going more than 3 miles because it will cost less.C. You will take the Atlanta Taxi Inc. cab when you are going less than 3 miles because it will cost less.D. You will take the Atlanta Taxi Inc. cab when you are going more than 3 miles because it will be faster.2. What is the x-coordinate at the point of intersection for f (x) and g (x)?f (x) = 3x + 50g (x) = 2x - 18 A. x = -68B. x = -35C. x = 3D. x = 32(Note: These are two different questions; unrelated. Where the image starts is the first one (the text is the possible answers), where it says 2 is the second one. Its fine if you can only answer one). The following are basic word processing functions that all students should be able to utilize in their work, EXCEPT:Group of answer choicesA.) Spell checkB.) Convert to PDFC.) PrintingD.) References To boil rice, start by combining water and rice in a pot at a ratio of 3:1. How many cups of water are need for a batch that uses eight cups of rice? Kevin runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes? Which of these terms refers to the principle that people accused of a crime must be granted certain legal rights? Text to speechadue processbhabeas corpuscjudicial reviewdeminent domain DIRECTIONS: Read each sentence. Determine the meaning of the word using clues from thesentence or knowledge you already have. Then explain what it was that helped you find themeaning of the word.1. When parents said she go to the party, she got all melodramatic, began tocry and accusing her parents of wanting her to be a social failure.What does it mean? ___________________________________________________________2. Several days after Rory had already been blamed and punished for what Tom had done, Tombegan to feel his first, sharp pangs of remorse. What does it mean? _____________________________________________________________3. Allen so often made jokes about things, and failed to take things seriously, that at first it washard for the others to believe that this time he was being earnest. What does it mean? _____________________________________________________________4. demeanor was such that only people who knew her really, really well could tell whensomething was bothering her.What does it mean? _____________________________________________________________5. The team rallied around their star player, even though now that his leg was broken, thechances of winning the championship were dismal. What does it mean? Martel sold 7 cups of lemonade at his lemonade stand. How many fluid ounces did he sell? why should people exercise?which answer choice presents a related focused question that might direct further exploration an reasons to exercise?a. what is the best time of day to exercise b. what types of exercise are safest c. where can one learn about exercise programs d. what are health benefits of exercising In the figure shown, FG is tangent to circle D.DOGWhat is the relationship between DG and FG?O A. DG is parallel to FGO B. DG is perpendicular to FG.OC DG Intersects FG to form an acute angle.ODDO intersects FG to form an obtuse angle hola necesito eso urgente porfavor lo tengo que entregar en 2 horas