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

4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False]
Prove this using algebra - Show work].

Answers

Answer:

true

Step-by-step explanation:

this is because

(10x+5-6x-2)

(10x-6x)+(5-2)

which equals 4x+3

then

(5x + 1 - (x - 2))

5x+1−x+2

(5x−x)+(1+2)

also equals

4x+3

Which of these values could be the slope of the line? Select two options.

–2

0

3

Answers

Answer:

3

Step-by-step explanation:

The slope is positive since it goes from the bottom left to top right so 3 is the only choice

Answer: 3

Step-by-step explanation:

The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

x= 14

y=5

Step-by-step explanation:

AOC and BOD are vertical angles so they are equal

AOC = BOD = 25

MOD = 90

MOD = MOB+ BOD

90 = 3x+23  + 25

Combine like terms

90 = 3x +48

Subtract 48 from each side

90-48 = 3x

42 = 3x

Divide by 3

42/3 = 3x/3

14 =x

We know that 5y+ 3x +23+90 = 180 since AB is a straight line

5y+ 3x +113 = 180

subtract 113 from each side

5y+3x =67

5y+ 3*14 =67

5y +42 = 67

5y = 67-42

5y = 25

Divide by 5

y = 25/5

y =5

Answer:

Step-by-step explanation:

x=14


A long-distance runner can run 11 miles per hour. How many hours will it take
the runner to run 44 miles?

Answers

Answer:

4 Hours.

Step-by-step explanation:

If the run 11 miles in a hour, then do 11 times as many hours.

11 x 4 = 44.

A local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following
changes to the way the park land is used
• Clearing dead trees and shrubs would allow for 37 51 square meters of additional grassy area.
• Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.
• Updating and expanding the playground would reduce the grassy area by 54 19 square meters
How many square meters of grassy area would the park have if all of the community group's proposals were applied?

Answers

Answer: they would have 216.06 square meters of grassy area left in the park

Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)

write the equation of thr parabola in vertex form. vertex (1,1) point (2,-4)​

Answers

Answer:

y = -5(x- 1)^2 + 1

Step-by-step explanation:

Answer: D

Step-by-step explanation:

took a quiz

A painter charges a flat fee of $100 and $35 per hour (for up to 8 hours), h, that he spends painting. This relationship can be represented by the function f(h)=100+35h where f(h) represents the total amount the painter charges.

Answers

Answer:

I don't know

Step-by-step explanation:

But the question you asked i think you have add and stuff

HELP

Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.


-80x+24.5y-56

-80x+28y-56

80x+28y+56

4(-20x+7y-14)

-4(-20x+7y-14)

Answers

Answer:

Its a,c and e

Step-by-step explanation:

I just took the quiz

which value of the variable is a solution of the inequality t>-7

Answers

Answer:

It could be -6, -5, -4, -3, -2, -1, 0, or anything above that

Step-by-step explanation:

The two favorite plants in Mary's garden are 6.56 feet and 8 feet tall. What is the difference in height of the plants?

Answers

Answer:

The height difference is 1.44 feet

Step-by-step explanation:

8 feet (1 plant height) - 6.56 feet (1 plant height) = 1.44 feet (height difference)

A number decreased by half of the number is four. What is the number?

Answers

Answer:

four is the right answer i think

Answer:

It should be a number between 12 and 14

Step-by-step explanation:

Start with given compound inequality, Add 4 to all sides ,combine terms on the left side ,combine terms on the right side, multiply all by 2, multiply ,so the number is between 12 and 14 which makes it possible to be 12,13,or 14

The runners on a cross country team need to buy bottles of water for their next meet. Each runner will buy four bottles, and the coach will buy extra bottles. Which equation best describes the total number of bottles, b, the runners and coach will buy in terms of n, the number of runners on the team?

Answers

Answer:

b = n + n

Step-by-step explanation:

Tammy can type 130 words in 5 minutes. How many words can she type in 20 minutes?

Answers

Answer:

520 words

Step-by-step explanation:

Do 130 words divided by 5 minutes to get 26 words per minute.

Then you do 26 times 20 to get the answer of 520

hope this helps!!

Answer:

520 words.

Step-by-step explanation:

We can multiply the 5 minutes by 4 to find 20, so also multiply 130 by 4, which would result in 520.

Taxi A charges $3.00 plus $0.30 for every
mile.
Taxi B charges $3.25 plus $0.20 for every mile.
How much money, in dollars, does Kelly save by using Taxi B instead of Taxi A?

Answers

Paper barbie I don’t wanna go with the flow

4.
One endpoint of a segment has the coordinates (1,-2). The coordinates of the midpoint
are (5,-5). What are the coordinates of the other endpoint?
5.
Ray AC is in the interior of angle BAD. Write an equation using the Angle Addition
Postulate. If the measure of angle BAD = 52º and the measure of angle BAC = 2x - 3
and the measure of angle CAD = 7x + 1, what are the measures of angle BAC and
angle CAD?

Answers

Answer:

4. (9, -8)

(✿◠‿◠)

Question 1 please. Please help

Answers

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

if AB || CD, then find value of angle COS, if angle BPO = 120 + - and angle COS = x

Answers

Answer:  angle COS = 30 degrees

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

Explanation:

Angle BPO is congruent to angle POC because they are alternate interior angles and because AB is parallel to CD. So angle POC is 120+x degrees

This adds with angle COS to get 180

(angle POC) + (angle COS) = 180

(120+x) + (x) = 180

2x+120 = 180

2x = 180-120

2x = 60

x = 60/2

x = 30

angle COS = x = 30

angle POC = 120+x = 120+30 = 150

angle BPO = angle POC = 150

y=2x+3 for the slope

Answers

x= -3/2

Step-by-step explanation:

y=2x+3 for the slope

move the variable to the left

divide both sides

solution solve

Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25

Answers

Answer:

(6, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Solution is (6, - [tex]\frac{1}{2}[/tex] )

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

3x - 4y = 20            ...1

4x - 2y = 25

8x - 4y = 50            ...2

Subtract equation 1 from equation 1, then we have

8x - 4y - 3x + 4y = 50 - 20

5x = 30

x = 6

The value of the variable 'y' will be given as,

3(6) - 4y = 20

18 - 4y = 20

4y = - 2

y = - 0.50

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer for MONEY. :) :)

Answers

Answer:

i would say <2= 80?

Step-by-step explanation:

im not pretty sure

A bicycle has a listed price of $563.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$613.30

Step-by-step explanation:

8.75% = 0.0875

8.75% of $ 563.95 is  $ 0.0875*563.95

$ 0.0875*563.95 is tax in dollars

the total cost = $ 563.95 + $ 0.0875*563.95  = $ 613.295 = $613.30

i need help with segments​

Answers

Answer:

∠ DBC = 16°

Step-by-step explanation:

∠ ABD + ∠ DBC = ∠ ABC , substitute values

2x + 15 + x - 30 = 123 , that is

3x - 15 = 123 ( add 15 to both sides )

3x = 138 ( divide both sides by 3 )

x = 46

Thus

∠ DBC = x - 30 = 46 - 30 = 16°

x² = 35
show your work

Answers

Answer:

x=±√35

Step-by-step explanation:

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±√35

The complete solution is the result of both the positive and negative portions of the solution.

Isabel wants to start saving more money so that she can purchase new clothes for college. She has $200 and will add $5 to her savings every day. Which equation models Isabel’s savings, where n represents each day ?

Answers

Answer:

Step-by-step explanation:

n-5=200

Answer: an= 5n +

Step-by-step explanation:

I don’t really know but she has $200 and she wants to add $5 to her savings everyday so it can’t be an= 5an-1 because we’re adding but n means everyday so 5n would represent that so yeeahhhh hope that helped

c. Bradley's dad used a light bulb that consumed 5000 joules in 50 seconds. What is the
unit rate at which this light bulb used energy?

Answers

Answer:

100 joules/ second

Step-by-step explanation:

5,000/50 seconds = 100 joules/ second

If a light bulb that consumed 5000 joules in 50 seconds, then the unit rate at which this light bulb used energy is, 100 joules/seconds or 100 watts.

What is the rate?

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

Given that,

A light bulb that consumed 5000 joules in 50 seconds,

The unit rate at which this light bulb used energy = ?

To find the unit rate,

we can divide the energy consumed (in joules) by the time it took to consume that energy (in seconds):

Unit rate = 5000/50 joules/seconds

              = 100 Watts

Note: 1 Watt = 1 Joule/second,

so the unit rate can also be expressed as joules per second.

Hence, the unit rate at which the light bulb used energy is 100 Watts.

To know more about Rate check:

https://brainly.com/question/29334875

#SPJ5

based on her recipe, Elena knows that 5 servings of granola has 1750 calories.

Answers

Answer:

700 calories

Step-by-step explanation:

1750 ÷ 5 = 350350 × 2 = 700

I hope this helps!

Which number is less than -1.5?
A. -1
B. -1.5
C. - 1 1/3
D. - 1 2/3

please hurry!!!

Answers

d. -1 2/3 which equals -1.66

Answer:

D -1 2/3 because 2/3 is greater than 1/2 and these numbers are negatives

what slope-intercept form equation represents the line?

Answers

Answer:

The slope of this line equals 2.

Hope this helps :)

Step-by-step explanation:

y = 2x + 1

Ask if you have any questions :D

Help With the question on the image.​

Answers

The ratio of the perimeters of 2 similar shapes is the sidelength of 1 shape to the matching sidelength. That means the ratios of the perimeters are 10:6 = 5:3

The ratio of areas = ratio of perimeters ^2 --> 25:9

Ratios of areas = ratios of perimeters ^2

5. Drew had $48 in his savings account. Each
week he added $8 to his account. Stacie had
$87 in her account. Each week she took $5
out. After how many weeks will they have the
same amount of money in their savings
accounts?

Answers

Answer:

13 weeks

Step-by-step explanation:

5 times 13= 65 +87= 152

8 times 13 = 104+58=152

Answer:

Week 4

You have to make a function table.

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