Write the expression as the
sine or cosine of an angle.

Write The Expression As Thesine Or Cosine Of An Angle.

Answers

Answer 1

Answer:

sine(pie/5+pie/2)

Step-by-step explanation:

Answer 2

The expression, written as the sine of an angle is sin (7π/10)

Trigonometry Identities

From the question, we are to write the given expression as the sine or cosine of an angle.

The given expression is

sin(π/5)cos(π/2) + sin(π/2)cos(π/5)

Let A = π/5

and

B = π/2

Thus, we get

sinA cosB + sinB cosA

From the given information, we have that

sin(A ± B) = sinA cos B ± cosA sinB

∴ sin(A + B) = sinA cos B + cosA sinB

Now,

sinA cosB + sinB cosA = sinA cosB + cosA sin B

∴ sinA cosB + sinB cosA = sin (A + B)

Put A = π/5

and

B = π/2

sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (π/5 + π/2)

sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (7π/10)

Hence, the expression, written as the sine of an angle is sin (7π/10)

Learn more on Trigonometry identities here: brainly.com/question/12994136

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Related Questions

Sebastian is swimming with Ariel and Flounder. They start at 30 feet below sea level. Then, they rise 15 feet, dive 5 feet, and rise another 13 feet. Where are they at in the water?

Answers

Answer: 13 feet

Step-by-step explanation:

Answer:

they're at 7 feet below sea level

Step-by-step explanation:

it starts at -30 sea level then goes to -15 sea level and they dive again to end up at -20 sea level but they rise 13 so they end up at -7

What is the best estimate of the sum of $33.46, $12.97, and $207.51?

Answers

Answer:

254.94

Step-by-step explanation:

Answer:

253.94

Step-by-step explanation:

I added the whole numbers then added the decimals separate. After that I ad Dee we the decimals and the whole numbers and got 253.94.

A hailstorm caused damage at a car lot. A compact car usually sells for
$27,500, but the damaged cars are discounted to $17,875. What was the
percent discount on a damaged compact car?

Answers

Answer:

$655.61 is the new price. it was decreased in price by 65%

Step-by-step explanation:

A percentage is a number or ratio that can be expressed as a fraction of 100.

The percent discount on a damaged compact car is 35%.

What is a percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

We have fractions for different percentages.

50% = 1/2

20% = 1/5

25% = 1/4

10% = 1/10

We have,

The selling price of the compact car = $27,500

The discounted price of the damaged compact car = $17,875

The discounted percentage of the car:

= (27,500 - 17,875) / 27,500 x 100

= 9625 / 27500 x 100

= 35%

Thus the percent discount on a damaged compact car is 35%.

Learn more about percentages here:

https://brainly.com/question/11403063

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Please help me 15+ points for anyone who answers please answer

Answers

Answer:

d is your answer hope it helps

Answer:

D is the answer

Step-by-step explanation:

Trust

Solve using substitution.

x − 4y = –14
3x + 8y = 18
ordered pair=?help

Answers

Answer:

(-2,3) if your doing substitution

(-2,3) for Elimination

Step-by-step explanation:

PLEASE SHOW THE WORK HELP ME OUT

Answers

Answer:

see explanation

Step-by-step explanation:

The 2 angles are adjacent and supplementary, thus

2x + x + 84 = 180 , that is

3x + 84 = 180 ← required equation

Subtract 84 from both sides

3x = 96 ( divide both sides by 3 )

x = 32

Thus

∠ 1 = 2x = 2(32) = 64°

∠ 2 = x + 84 = 32 + 84 = 116°

What is the domain of the function represented by the graph?

Answers

Answer:  Choice C.  [tex]x \ge -3[/tex]

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

Explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is [tex]-3 \le x < \infty[/tex] which can be simplified to [tex]-3 \le x[/tex] or [tex]x \ge -3[/tex]

In short: x can be -3 or larger.

f(x) = x2+ x–1 and g(x) = x+ 3, what is f o g(x)

Answers

Answer:

Step-by-step explanation:

[tex]f(x) = x^2 + x - 1\\g(x) = x +3\\\\\\(f\:o\:g)(x) = f(g(x))[/tex]

we input the function g(x) into every x in f(x)

[tex]f(g(x)) = (x+3)^2 + (x + 3) - 1\\f(g(x)) = x^2 + 6x + 9 + x + 3 - 1\\f(g(x)) = x^2 + 7x + 11[/tex]

find the nth term of this quadratic sequence 4, 9, 16, 25, 36

Answers

Answer:

well the sequence is the perfect squares

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The sequence of square numbers is

n    |    1      2      3     4     5     6

n² |    1      4       9   16    25    36

Given

4  , 9,  16,  25,  36 ← moved 1 place to the right

Thus

4 = (1 + 1)²  , 9 = (2 + 1)² ,  16 = (3 + 1)² , etc

In general the n th term is

[tex]a_{n}[/tex] = (n + 1)²

Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?

Answers

Answer:

It is wrong because she should simplify both sides of the equation,distribute, combine like terms,subtract and divide to get the final answer.

4x−2(3x−4)+4=−x+3(x+1)+1

Step 1: Simplify both sides of the equation.

4x−2(3x−4)+4=−x+3(x+1)+1

4x+(−2)(3x)+(−2)(−4)+4=−x+(3)(x)+(3)(1)+1(Distribute)

4x+−6x+8+4=−x+3x+3+1

(4x+−6x)+(8+4)=(−x+3x)+(3+1)(Combine Like Terms)

−2x+12=2x+4

−2x+12=2x+4

Step 2: Subtract 2x from both sides.

−2x+12−2x=2x+4−2x

−4x+12=4

Step 3: Subtract 12 from both sides.

−4x+12−12=4−12

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

Answer:

x=2

Answer:

it is in order to combine like terms on one side of the equation, the inverse operations must be used

Step-by-step explanation:

trust me I took it on edge

Find the measure of each numbered angle.?

please show work and I'll give bonus points I rlly need the answers​

Answers

Answer:

8. 95°

9. 85°

10. 49°

11. 53°

Step-by-step explanation:

8) m + 28° + 57° = 180°

m = 180°–28°–57°

m = 95°

9) m∆4 + m∆5 = 180°

95° + m∆5=180°

m∆5 = 180°–95°

m∆5 = 85°

10) 180°–36°–95°=49°

11) 180°–42°–85°=53°

Find the greatest common factor of 7 and 7.

Answers

Answer:

7

Step-by-step explanation:

Obviously

Answer:

the greatest common factor is 7

Step-by-step explanation:

Point M is the midpoint of A and B
What are the coordinates of point B?​

Answers

Answer:

(6, 7) is where B is.

Step-by-step explanation:

If you go down 1/2 and right 5, you get to M. If you go another 1/2 down and right 5, you will get to B.

This is because M is the midpoint, or center point, of line AB. That means there is equal distance going from A to M and equal distance going from B to M.

#teamtrees #WAP (Water And Plant)

this subject isn’t my fav so anyone wanna help?

Answers

Answer:

(1) 4 (2) -2

Step-by-step explanation:

write an equation in slope-intercept form tha is parallel to y=4x-2 and has a y-intercept of -2

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

Formula: y = mx + b

Parallel means same slope as original and b is -2.

In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to and that is the shortest distance from A to CE because of the shortest distance theorem. Therefore, BC > BE and AC > AE. Next, add the inequalities: BC + AC > BE + AE. Then, BE + AE = BA because of the . Therefore, BC + AC > BA by substitution.

Answers

Answer:

CE..AE...Segment addition postulate

Step-by-step explanation:

i got these answers from the quiz

Answer:

1.A  

2.C

3.A

Step-by-step explanation:

Edgen2020

what is 20 percent of 140

Answers

Answer:

28

gotta divide

Step-by-step explanation:

I WILL GIVE BRAINLIEST Simplify by combining like terms.
3x + 5 − x − 13
A. 3x + 18
B. 2x + 18
C. 2x − 8
D. 3x – 8

SHOW YOUR WORK PLZSSSSSSSSS

Answers

Answer:

C. 2x-8

Step-by-step explanation:

You combine like terms so you will combine 3x and the -x which makes 2x. you then combine the +5 and the -13 which results in -8. The end result is 2x-8

Answer:

C. 2x - 8

Step-by-step explanation:

Step 1: Group like terms

5-8=2

3x - x =2x

Step 2: Add similar elements

2x+5-13

Step 3: Add/Stubtrct the numbers

5 - 13=-8

Answer: 2x-8

what is 3x^2+4-6x^2-18x+15=

Answers

Hope this helps please lmk if I was right or wrong

n/2 - 2 > 1
solve for N

Answers

Answer:

n>6

Step-by-step explanation

add two to both sides so far its n/2>3

multiply both sides by 2

n>6

Find the slope of the following graph and Identify the type of
Slope:

Answers

Answer:

the slope is undefined

Step-by-step explanation:

in the slope equation rise/run you can't divide by 0

Last year, the hiking club had 25 members. This year, there’s 37. What is the percent increase?

Answers

Answer:

The hiking club's member count increased by 48%.

Step-by-step explanation:

We are given two data values: 25 members and 37 members. We need to determine how many members the club gained first. We can set up an equation where we solve for an unknown, or x, in this case.

[tex]25 + x = 37\\\\x = 12[/tex]

The club increased by 12 members, so now we can divide this value by the initial amount of members and multiply the decimal we receive by 100 to express it in percentage form.

[tex]\frac{12}{25} =0.48\\\\0.48 \times 100 = 48\%[/tex]

Therefore, the club's member count increased by 48%.

Answer:

25+12=37

There would be 48%.

THANK YOU IF U HELPED!!!

Answers

Answer:

Step-by-step explanation:

Grove City = 45,032

Franklin = 41,064

Franklin < Grove City

5 thousands > 1 thousand

How do you determine the x and y-intercepts from an equation or graph?

Answers

You determine it by finding it
To determine the x intercept you have to find the point where the graph meets the x axis. The same goes for y but on the y axis

which table represents a nonlinear function? Help please!

Answers

The second one or the middle table mark Brainliest please
I think that the answer is the 2nd table

isolate the variable on the following problem. show your work.

3a+3=6​

Answers

Answer:

3a=6-3

Step-by-step explanation:

if you have the equation 3a + 3 = 6, you have to move 3 to the other side of the equation to isolate it. To do this, you subtract 3 from both sides giving you 3a=6-3

Hope this helped

I will give brainiest pls help

Answers

Option A is the correct answer or Y-4=1/3(x-4):)

can someone please help me with math
-please and thanks.

Answers

Answer:

x(x+6)

which is 2

Step-by-step explanation:

Im new can u pls mark me brainliest

What is the amplitude of y = -8sin(3x)?

Answers

Answer:

for y=-8sin(3x)

Amplitude = 8

Answer:

8

Step-by-step explanation:

amplitude =8

|sin (3x)|≤1

so |-8 sin (3x)≤8

Find the slope of the line that is parallel to the line y = 2x + 5

Also if any of u know how to get the live tutor option could u please tell me I can’t find it lol

Answers

Answer:

2

Step-by-step explanation:

parallel lines have same slope.

y = 2x + 5

y = mx + b

m is the slope

b is y-intercept

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