Sin(a+b)=?
Cos(a+b)=

Answers

Answer 1

Answer:

sin (a+b)= sina*cosb - sinb*cosa

cos (a+b) = cosa*cosb + sina*sinb

Answer 2

Answer:

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

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

on:


Related Questions

Stella has five times as many books as Tina. If Stella gave 16 books to Tina, they would each have the same number of books. How many books does Stella have? ​

Answers

Answer:

40 books

Step-by-step explanation:

s = Stella's books

t = Tina's books

Given:

s = 5t

s - 16 = t + 16

Plug first equation into second:

5t - 16 = t + 16

4t = 32

t = 8 books

s = 5t = 40 books

((Check: 40 - 16 = 24 = 8 + 16 ✔ ))

(PICTURE) Can someone please help me out Im reporting trolls. Marking brainliest

Answers

Answer:

smart dot company would be c=.50t+12

communication plus would be c=2.50t

Step-by-step explanation:

smart dot starts with $12 a month and adds $0.50 for each hour of internet use. communication plus has no starting fee so it just adds $2.50 for each hour of internet use.

So then for the table you would put the number given for time in for the letter t and find what c would be. This would then find your cost for that amount of hours. To get you started smart dot company starts off with 0 hours so put that in for t being c=0.50(0)+12 and c=12. Communication plus also starts with 0 so it would be c=2.50(0) and c=0

Then you graph once you have both values you can graph having x=time and y=cost

Let me know if this helps!

TWO TEST
23. Evaluate 4b2 for b
= -1/2

Answers

4b² when b = -1/2

[tex] = {4( \frac{ - 1}{2})}^{2} \\ = 4( \frac{1}{4}) \\ = \frac{4}{4} \\ = 1[/tex]

Answer:

-4

Step-by-step explanation:

4b x 2 when b = -1/2

1) put -1/2 where b is.

4 x -1/2 x 2

2) solve.

-2 x 2

-4

HELP ANSWER ASAP. what is the radius of a circle in which a 30 arc is 2pi inches long?

Answers

Answer:

I believe it's 12 in.

Step-by-step explanation:

hope this helps you!

What do the graphs of sine and cosine have in common with the swinging you see?

The high and low points repeat in a pattern.

The cycle repeats at equal time intervals.

The swinging motion is smooth, unabrupt.

Answers

This is the same pattern in the graphs of sine and cosine. ... The correct answe is - The high and low points repear in pattern and the cycle repeats at equal time intervals. The correct answer: The high and low points repeat in pattern

Y = 2x - 4

(0, 4)

(3, -1)

(-1, -5)

(-4, 9)

Answers

Answer:

Y = 2x - 4

(2,-4)

gradient= 2

y-intersept = -4

1. when the expression x^3+ 2kx+2 is divided by x+2, the remainder is less than the remainder when the expression is divided by x+1 find the value of k. help plz​

Answers

Answer:

let the polynomial be

f(x)=x³+2kx+2

is divided by

g(x)=x+2

hence

(x+2) is a factor of f(x)

so comparing with x-a we get a=-2

so

f(a)=0

f(-2)=(-2)³+2*-2*k+2

0=-8-4K+2

4k=-6

K=-6/4

k=-3/2

again

when divided by x+1

g(x)=x+1

hence

x+1 is a factor

so a=-1

f(-1)=-(1)³+2*-1*k+2

0=-1-2k+2

0=1-2k

k=1/2

The value of k is 1/2 when divided by x+1

and

K =-3/2 when divided by x+2

{$20+$25+$22+$30+$15+$18+$20+$17+$30+$27+$15

Answers

Answer:

$239

Step-by-step explanation:

20+25+22+30+15+18+20+17+30+27+15=239

Answer: $291
Explanation: 20+25=45
22+30=52
15+18=33
20+17=37
30+27=57
45+52=97
52+33=85 > 276+15=291
37+57=94

there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.​

Answers

Answer:

girls = 40%

boys = 60%

Step-by-step explanation:

Girls = 160

boys = 240

total students = 160+240

= 400

so,

percent of girls = (160/400)×100%

= (2/5)×100%

= 2×20%

= 40%

so,

percent of boys = 100% - 40%

= 60%

Solve the equation √2 – 1 = 3.

Question 5 options:

A)

x = 4

B)

x = 16

C)

x = 8

D)

x = 2

Answers

Answer:

C x=8

Step-by-step explanation:

Chúc bạn ngày mới tốt lành

HELP PLEASE!!!!
Find the length of BC
А.53.74
B.96.95
C.84.79
D26.05


Answers

Answer:

D 26, 05

Step-by-step explanation:

(look at picture attached)

Is the answer I’ve chosen correct? This is really confusing for my stressed brain :(.

Answers

Answer:

X is greater than 5.

Step-by-step explanation:

You choose the correct answer because X > 5.

Meaning that x would be any number over 5.

Which angles are supplementary to each other?

Angle 5 and Angle 2
Angle 3 and Angle 8
Angle 8 and Angle 5
Angle 8 and Angle 6​

Answers

angle 8 and 5 are supplementary angle

Help. Needs to find the value of x

Answers

Step-by-step explanation:

angle marked on diagram = 180 - 75 = 105° (supplementary angles)

x = 105° (alternate angles are equal)

What is the measure of n?

Answers

Answer:

m = 10, n = [tex]\sqrt{75}[/tex]

Step-by-step explanation:

We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).

The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:

[tex]5^2+(\sqrt{75})^2=m^2[/tex]

We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.

[tex]m^2=100[/tex]

This means that m is equal 10, because the square root of 100 is m.

Use the information in the figure. If F=116, find E

58
32
116
64

Answers

Step-by-step explanation:

Given that,

m∠F = 116°

We have to find the value of mE.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, E and D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→ x = 32°

Henceforth,

→ m∠E = x

m∠E = 32°

[tex] \\ [/tex]

~

If area of circle is 210cm ,find the value of radius

Answers

Answer:

8.18

Step-by-step explanation:

r = square root of A/ pi

R = square root 210/ 3.14

I hope the formula helped!

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.

Answers

1st way:

let the n'th term be called x, and the value of the term y,

then there is a function y=a*x + b

that will give us all term we want.

this formula is also used for straight lines.

we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula

10.5 = a*12 + b

13.5 = a*18 + b

now lets manipulate these lines.

multiply the first line by 3 and the second line by 2

31.5 = a*36 + 3b

27 = a*36 + 2b

subtract the second line from the first line

4.5 = b

yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.

10.5 = a*12 + 4.5

6 = a*12

0.5 = a

now y=a*x + b can be filled with a and b

y = 0.5 * x + 4.5

for x=1 (the first term) it's f(1)=5

each step is 0.5, hence the common difference.

2and way:

(13.5-10.5)/(18-12)

= 3 / 6

= 0.5

we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.

from step 12 to step one it's 11 steps down

10.5 - 0.5*11

= 10.5 - 5.5

= 5

okay I admit... 2and way to do it might be faster and more intuitive... :D

Refer to the diagram for Exercises 1-3.
125°



what is the value of y z and x

Answers

Answer:

x=180-125

=55

z=55

y=180-(55+55)

y=70

2899
Ghzhdbnhjhb. Hfuffryfygdufgh

Mr mohapi sells your school 500 chairs for 22500. Mr shuma sells your school 200 chairs for 9600. Who sells cheaper chairs

Answers

Answer:

Mr Mohapi is selling cheaper chairs

Step-by-step explanation:

Find the cost per chair from both prices by dividing the total price by the number of chairs:

22500/500

= 45

9600/200

= 48

So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.

Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.

Mr Mohapi is selling cheaper chairs.

Some help me with this pls.

Find m

Answers

Answer:

The inscribed angle intercepts the circle's radius is always 90

Step-by-step explanation:

5 a. how to convet 2 hour to second ​

Answers

Answer:

Step-by-step explanation:

2 hour

To seconds = 7200

Hope this  answer helps you :)

Have a great day

Mark brainliest

plssssss help me answer this quickly

Answers

Answer:

Step-by-step explanation:

Which of the following should be the y-coordinate of left parenthesis (5,__) so that the ordered pair is a solution of 4x - y= -10

Answers

Answer:

y = 30

Step-by-step explanation:

Substitute x = 5 into the equation and solve for y

4(5) - y = - 10

20 - y = - 10 ( subtract 20 from both sides )

- y = - 30 ( multiply both sides by - 1 )

y = 30

Then (5, 30 ) is a solution of the equation

16. DEFG is a square. Find the value
of x.

Answers

Answer:

calculate the volume of a prism whose length is 25cm and cross-section is an equilateral triangle of sides 3

Answer:

a square adds up to 360°degrees so 1 angle adds to 90degrees so 18x° =90°

so x=5

Which value of x makes this equation true?-9x+15=3(2-x)

Answers

Step-by-step explanation:

-9x+15=3(2-x)

expand the bracket by the right hand side

6-6x

2. collect like terms

-9x+15= 6-6x

15-6 = 6x+9x

11= 15x

3. divide both sides by the coefficient of X which is 15

x= 11/15

Evaluate (mm)(x) for x=-3

Answers

Step-by-step explanation:

Maybe

(m²)(-3)

-3m²

hope it helps

pls help its a optional math question
Find the length of a pendulum which describes an arc of 33cm when it turns through and angle 27º. ​

Answers

Answer:

70cm

Step-by-step explanation:

33=27/360*2*22/7*r

33*2520/1188=r

83160/1188=r

r=70cm

hope it's right

[tex](a+b)^{2}[/tex]

Answers

Answer:

[tex] ({a + b})^{2} [/tex]

[tex](a + b)(a + b)[/tex]

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

hope this help you

Is the following number rational or irrational?
13
12
Choose 1 answer:
А
Rational
B
Irrational

Answers

Answer: Rational

This is because the number is in the form P/Q where P and Q are integers

We have P = -13 and Q = 12.

You can think of "rational" as in "ratio" which is very closely tied to fractions. Any rational number is a fraction of two integers. The denominator can never be zero.

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Decimal form: − 1.08 3

3 repeats itself, so it's rational.

Other Questions
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and a third side is 22 more than the length of the shortest side. Find the dimensions if the perimeter is 182 feet. Write an equation, in slope-intercept form, of the line that passes through the given point and satisfies the given condition. (-1, -4); perpendicular to y=2x+5 My theoretical yield is 14 grams of water. I actually produced 6 grams of water. What is my percent yield? The length of a rectangular field is 25 m more than its width. The perimeter of the field is 450 m. What is the actual width and length? Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangles name blank and write Cannot Be Determined (CNBD) in the spot for rule. SAT _____ By _____ our Company will open a new store on January 1. Based on experience from its other retail outlets, Entertainment Inc. is making the following sales predictions: Cash Sales Credit Sales January $80,000 $160,000 February $50,000 $170,000 March $60,000 $190,000 April $50,000 $210,000 You estimate that the pattern of collection of credit sales will be 45% in the month of sale and 40% in the month following the sale; 8% in the third month, the remaining 7% is uncollectable. Based on this data calculate the estimated total cash collections for March Which of the following processes involves breaking down 3-carbon molecules into 2-carbon molecules?GlycolysisKrebs CycleTransition ReactionElectron Transfer Chain Which sequence is arithmetic? Check all that apply. 0, 8, 16, 247, 12, 17, 226, 12, 24, 488, 14, 20, 2611, 18, 23, 3012, 17, 22, 2915, 30, 60, 120 Someone please help me!!! CompuGlobal is an American firm producing computers. CompuGlobal imports computer components from Taiwan and assembles them domestically. Suppose that in the United States, a computer sells for $800 and that 60% of the computers value comes from the value of the imported components. The United States imposes a 50% tariff on computers and a 10% tariff on the computers components. Assume that costs of producing components are the same in the United States and Taiwan and that transit costs are nonexistent. Based on the information provided, the effective rate of protection that CompuGlobal receives from the tariff is Cost of Goods Sold, Cost of Goods Manufactured Glenville Company has the following information for April: Cost of direct materials used in production $41,000 Direct labor 47,000 Factory overhead 20,000 Work in process inventory, April 1 34,000 Work in process inventory, April 30 27,000 Finished goods inventory, April 1 24,000 Finished goods inventory, April 30 18,000 a. For April, determine the cost of goods manufactured. Using the data given, prepare a statement of Cost of Goods Manufactured. b. For April, determine the cost of goods sold. Using the data given, prepare a statement of Cost of Goods Sold. 1->dng v cng 1/x*(9+lnx^2)dx Who committed election fraud in Mexico How much 50% disinfectant solution must be mixed with a 40% disinfectant solution to produce 35 gal of a 45% disinfectantsolution?50% 40% 45%Mixture Mixture MixtureAmount of solutionAmount of disinfectant 2-6=? need help please Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 20 and 1280, respectively. Calculate the amount of solute excess out when the 60 gm of saturated solution ofNH4Cl having solubility of 57 at 60 is cooled to 20 , the solubility being 35. A chef working at a restaurant is part of which type of career? O A. Management O B. Transportation C. Education D. Food service Please help me with this on the picture An elderly man who has always had a difficult temperament lives in a different state from either his daughter or son. He has a room in the home of a middle-age couple, who attend to his needs. His daughter checks in regularly by telephone and thinks well of the couple. After the elderly man's death, the daughter discovers that the couple has systematically taken all of the man's money. This is a case of ________.