Which expression is equivalent to cos(40°)cos(10") + sin(40°)sin(10º)?
O sin(40° – 10°)
O cos(40° + 10º)
O sin(40° + 10º)
O cos(40° – 10º)

Answers

Answer 1

Answer:

The equivalent expression is cos(40° – 10º) ⇒ D

Step-by-step explanation:

The rule of cosine the compound angles is

cos (A + B) = cos A cos B - sin A sin B

cos (A - B) = cos A cos B + sin A sin B

Let us use these rules to solve the question

cos(40°)cos(10°) + sin(40°)sin(10º)

∵ The middle sign is plus

∴ We will use the 2nd rule above

→ Compare the rule by the given expression to find the value of A and B

A = 40° and B = 10°

∴ cos (A - B) = cos (40° - 10°)

∴ cos (40° - 10°) = cos(40°)cos(10°) + sin(40°)sin(10º)

The equivalent expression is cos(40° – 10º)


Related Questions

Help me with this someone, please!

Answers

Answer:

-45 I think

Step-by-step explanation:

6 × (-7) - 3

-42 - 3

-45

Sorry if this is wrong

-45 myyyybhomieeeeeee the guy above u is right

Sun-Li has 10 blue marbles, 3 red marbles, and 17 white marbles. Write each ratio in ALL three forms.
a.) blue marbles to red marbles =

b.) red marbles to white marbles =

c.) red marbles to total number of marbles =

Answers

Answer:

a.) 10:3

b.) 3:17

c.) 3:30

Step-by-step explanation:

There is 10 blue marbles, 3 red marbles, and 17 white marbles.

in total there is 30 marbles because 10+3=13 and 13+17=30.

the ratio of blue marbles to red marbles is 10:3 because there is 10 blue marbles to three red marbles.

the ratio of red marbles to white marbles is 3:17 because there is three red marbles to 17 white marbles.

the ratio of red marbles to total number of marbles is 3:30 because there is three red marbles to 30 marbles in total

Can you helps me put them into each category you can just say the first one is blank and so on

Answers

Answer:

1st: parallel

2nd: perpendicular

3rd: neither

4th: neither

5th: neither

6th: parallel

Step-by-step explanation:

hi guys its me addison ray shawty the baddest

Answers

Answer:

but she got away

Step-by-step explanation:

Answer:

Obviously, these lyrics are very heartfelt to me ;p

Step-by-step explanation:

Because I am Addison rae...

Pls can y’all tell me how many points will Tessa have scored in all ?

Answers

Answer: 48 points

Step-by-step explanation:

i hope this helps

24 x 2 =48 So the Answer is 48 :)

¿Cómo se resuelve este problema? Con explicacion por favor.
El problema esta en el archivo

Answers

Answer:

?

Step-by-step explanation:

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x Cost, y 2 8.50 5 15.25 8 22.00 12 31.00 What is the y-intercept of this function? 2.25 4.00 6.50 17.13

Answers

Answer:

B. 4.00$

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

are the triangles congruent ? if they are state how they are congruent .

Answers

Answer:

Step-by-step explanation:

Not congruent

Better to say that there is not enough information to say, "Triangles are congruent"

Total sales is $55,000.
The commission is 3.5%.
Determine the commission .

Answers

Answer:

The commission is 1925

Step-by-step explanation:

This is because you are taking 3.5% of $55,000. After doing the percent you are left with $1925 which is the commission.

Hope I helped, Have a great day! :-)

The commission of the total sales of $55000 will be $1925.

What is the percentage?

A specific number in every hundred is what is meant by the percentage. The percentage symbol percent is used to denote a fraction with 100 as the denominator.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

The percentage is also called the indicating hundredths. Thus, 3% is two-hundredth, which means 3%=3/100=0.03.

Principle amount = $55000

Commision rate = 3.5%

3.5% of 55000 = (3.5 × 55000)/100

3.5% of 55000 = $1925

Hence the 3.5% commission of the amount of $55000 will be $1925.

For more about the percentage

brainly.com/question/13450942

#SPJ2

6:what=1:3 what:30=8:5

Answers

Answer:

x = 18 and x = 36

Step-by-step explanation:

let unknown value is x

6:x = 1:3

product of means = product of extremes

6*3 = 1 *x

18 = x

x:30=8:5

product of means = product of extremes

5x=180

x=180/5

x=36

Does anybody know this??????

Answers

The correct answer is 196 or Option A.
The explanation is just as complicated as the question.
The correct answer is A. Have a nice day! :)

There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles

Answers

Answer:

4 to 7 *maybe

Step-by-step explanation:

what is this graph in equation form​

Answers

Answer:

A linear graph

This is from a linear graph

Where is the function increasing?

Answers

9514 1404 393

Answer:

  A)  1 < x < ∞

Step-by-step explanation:

"Increasing" means the graph goes up to the right. This graph is increasing for values of x greater than 1. (x=1 is a minimum. The graph is decreasing toward the minimum on the left of that value, and increasing from the minimum on the right of that value.)

  1 < x < ∞

Answer:

A if your doing prep

Step-by-step explanation:

math

(a) Explain how the Fundamental Theorem of Algebra is used to determine the number of roots for
2x^2 + 3x +5
(b) What are the roots of 2x^2 + 3x + 5? Show your work. Explain why you chose the method you used to find
the roots.
Answer:

Answers

Answer:

Step-by-step explanation

2x²+3x+5 roots means the zeros

So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant

b²-4ac=3²-4(3)(5)

9-60=-51

If the discriminant is < 0 means the equation have no solution

please help it’s due today

Answers

Answer:

-3

Step-by-step explanation:

1 - 4 = -3

2 - 1 = 1

(-3) / 1 = (-3)

Sarah needs to find a plumbing company to fix the plumbing in her house. Pat’s Plumbing Company charges a flat rate of $650 to inspect the house plus $25.75 per hour of labor to fix the problem. Her friend Kristin tells her that AAA Plumbing will charge a fee on $675 to inspect the house and an hourly fee of $24.50 for labor. Kristin knows that AAA Plumbing will cost no more than Pat’s Plumbing Company. Which inequality correctly shows the relationship between the total cost of the two plumbing companies?

Answers

Answer:

An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]

Step-by-step explanation:

Pat’s Plumbing Company

Cost of inspecting house = $650

Cost of labor per hour = $25.75

Cost of labor in x hours = 25.75x

Total cost = 650+25.75x

AAA Plumbing

Cost of inspecting house = $675

Cost of labor per hour = $24.50

Cost of labor in x hours = 24.5x

Total cost = 675+24.5x

We are given that AAA Plumbing will cost no more than Pat’s Plumbing Company

[tex]675+24.5x \leq 650+25.75x[/tex]

Hence An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]

Answer:

carlo scored 65 out of 100 item in math. what percent of the test did he get correctly

What is the anti derivative of f'(x)=19x+15?​

Answers

Answer:

Part A:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]

Part B:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Functions

Function Notation

Calculus

Differentiation

DerivativesDerivative Notation

Differential Equations

Integration

Integrals[Indefinite Integrals] Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f'(x) = 19x + 15[/tex]

Step 2: Find Antiderivative

[Derivative] Integrate both sides:                                                                 [tex]\displaystyle \int {f'(x)} \, dx = \int {19x + 15} \, dx[/tex][Left Integral] Simplify:                                                                                   [tex]\displaystyle f(x) = \int {19x + 15} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle f(x) = \int {19x} \, dx + \int {15} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:               [tex]\displaystyle f(x) = 19 \int {x} \, dx + 15 \int {} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]:                                     [tex]\displaystyle f(x) = 19 \bigg( \frac{x^2}{2} \bigg) + 15x + C[/tex]Simplify:                                                                                                         [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]

Step 3: Find Particular Solution

Substitute in function value [Function f(x)]:                                                 [tex]\displaystyle 87 = \frac{19}{2}(-4)^2 + 15(-4) + C[/tex]Evaluate:                                                                                                         [tex]\displaystyle 87 = 92 + C[/tex]Solve:                                                                                                             [tex]\displaystyle C = -5[/tex]Substitute in C [General Solution]:                                                               [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differential Equations

Which systems have infinite solutions? Check all that apply. y = 0.5x + 2.75 and 2y = x + 2.75 y = 0.5x + 2.75 and y – 0.5x = 2.75 y = 0.5x + 2.75 and 0.5x + y = 2.75 y = 0.5x + 2.75 and y = 0.5(x + 5.5) y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

Answers

Answer:

Three solutions

Step-by-step explanation:

Infinite solutions means each and every point satisfies both the equations which means there would be a graph that overlaps the original graph.

So compare the equations with the equation

y = 0.5x + 2.75

each and every equation in this form has infinitely many solutions like

y = 0.5x + 2.75 and y - 0.5x = 2.75 these both equations are same. So they have infinitely many solutions as they overlap each other. Furthermore

y = 0.5x + 2.75 and y = 0.5(x + 5.5)

y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

all these 4 equations are the same which is y = 0.5x + 2.75 so three systems have infinite solutions we can confirm this by using the desmos online graphing calculator just insert these equations into it and you will see all these equations are the same just like  for example

y = 2x and 2y = 4x

Answer: B, D, and E.

Step-by-step explanation: On Edge!!!!!!!!!!!!!!!

Let f(x) = x^2 - 2 and h(x) = x - 1;
compute h(f(2))

Answers

Answer:

1

Step-by-step explanation:

2^2-2=2

2-1=1

hopefully you will find it helpful

Tia picked 56 ounces of blueberries. She used 8 ounces to make muffins and packed the remaining blueberries into 12-ounce packages. Which expression can be used to find the greatest number of packages of blueberries that Tia packed? ;-;

Answers

4.25.
Do 56-8 then divide that answer by 12

Answer:

4.25

Step-by-step explanation:

2^{51} mod 22 in words, two to the power of fifty-one mod twenty-two

Answers

Since 2⁵ = 32, and

2⁵ ≡ 32 ≡ 10 (mod 22),

we have

2⁵¹ ≡ 2 • 2⁵⁰ ≡ 2 • (2⁵)¹⁰ ≡ 2 • 10¹⁰ (mod 22)

Now consider 10¹⁰ (mod 22):

10 = 2 • 5

10¹⁰ ≡ 2¹⁰ • 5¹⁰ ≡ (2⁵)² • 5¹⁰ ≡ 10² • 5¹⁰ ≡ 2² • 5¹² (mod 22)

so that

2⁵¹ ≡ 2³ • 5¹² (mod 22)

Now consider 5¹² (mod 22):

5 and 22 are coprime, and ɸ(22) = 10 (where ɸ(n) is the Euler totient function). By Euler's theorem,

5¹² ≡ 5² • 5¹⁰ ≡ 5² • 1 ≡ 25 ≡ 3 (mod 22)

and so

2⁵¹ ≡ 2³ • 3 ≡ 24 ≡ 2 (mod 22)

Another, more tedious method: Start with smaller powers of 2 and look for a pattern.

2 ≡ 2 (mod 22)

2² ≡ 4 (mod 22)

2³ ≡ 8 (mod 22)

2⁴ ≡ 16 (mod 22)

2⁵ ≡ 32 ≡ 10 (mod 22)

2⁶ ≡ 2 • 32 ≡ 2 • 10 ≡ 20 (mod 22)

2⁷ ≡ 2 • 20 ≡ 40 ≡ 18 (mod 22)

2⁸ ≡ 2 • 18 ≡ 36 ≡ 14 (mod 22)

2⁹ ≡ 2 • 14 ≡ 28 ≡ 6 (mod 22)

2¹⁰ ≡ 2 • 6 ≡ 12 (mod 22)

2¹¹ ≡ 2 • 12 ≡ 24 ≡ 2 (mod 22)

2¹² ≡ 2 • 2 ≡ 4 (mod 22)

and so on, with a cyclic pattern of length 10. That is, [tex]2^{10k+1}\equiv2\pmod{22}[/tex] for any integer k ≥ 0. So 2⁵¹ ≡ 2 (mod 22).

The student government snack shop sold 32 items this week. for each snack type, what percentage of all snacks sold where of that type

Answers

Answer:

0.02 Sorry If it isn't right.

Step-by-step explanation:

Which is a different way to express 2(w + 3)?

Answers

Answer: 2w+6

Step-by-step explanation: Here you distribute. Simply multiply 2 and w which would get you 2w and 2 by 3 which would get you 6.

-16 + (unknown) = -6

Answers

Answer:

10  

Step-by-step explanation:

A is plotted on a coordinate grid at (-3 1/2,1) choose the correct grid that best shows the location of the point

Answers

Hi there! Please provide the graphs in the question so that I can determine which is the right one.

Answer is c

Step-by-step explanation:

c

Evaluate the expression when a = 4 and c = -4. -a +2c​

Answers

Answer:

-12

Step-by-step explanation:

Answer: -12
-(4)+2(-4)=-12
I hope this helps!!

Please help me I believe the answer is b correct me if I’m wrong

Answers

Answer:

71°

Step-by-step explanation:

h = 71° ( corresponding angles)

Find an equation of the line that satisfies the given conditions.
Through (−1, −2); perpendicular to the line 2x + 7y + 6 = 0

Answers

use y=mx+b to find EOL.

if two lines are perpendicular it means their slopes are negative reciprocals of one another. So, if the slope of the given line is 2, the slope of the line we are trying to find is -1/2.

To find “b” (the y-intercept) we have to plug in the given point into y=mx+b with the slope we just found;

y = mx+b
-2 = (-1/2)(-1) + b
-2 = 1/2 + b
-2 - 1/2 = b
-5/2 = b

the EOL is y = -1/2x - 5/2

John saved $50,000. and wants to put the money into an Index Annuity that pays an average of 8.4% per year, compounded semi-annually. How long will it take him to reach his goal of $1,000,000?

Answers

Answer:

Divide 50,000 by 8.4...get that number and add it to the 50,000, divide again by 8.4 and add back, repeat until you reach 1,000,000... happy adding

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