(a) (sin A + sin B) (sin A-sin B)

Answers

Answer 1

Answer:

Sin^2A-sin^2B

Step-by-step explanation:

(sin A + sin B) (sin A-sin B)

=SinA(sinA-sinB)+SinB(sinA-sinB)

=Sin^2A-sinAsinB+sinBSinA-sin^2B

=Sin^2A-sin^2B


Related Questions

During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.

Answers

Answer: Marcus is correct.

i got it right on Edge2020

Step-by-step explanation:

Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.

Marcus's claim is correct.

The triangles are given as: ΔTSR and ΔUSV

By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.

So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.

Hence, Marcus is correct, and Sam is not.

Read more about transformation at:

https://brainly.com/question/4539110

Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?

Answers

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

If you understand similar figures you will get this because I don't

Answers

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?

PLEASE BE CORRECT

Answers

Answer:

$412.50

Step-by-step explanation:

[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]

5x + 260 = -8x + 650 I got 75 but it was wrong

Answers

-260

then

-5x

-13x+390

-390

/-13

=

Answer:

x=30

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.



A new Youth Sports Center is being built in Pagosa Springs. The perimeter of the rectangular playing field is 236 yards. The length of the field is 2 yards less than

double the width. What are the dimensions of the playing field?

The width is yards

The length is yards.

Answers

Answer:

Width = 40 yards ; length = 78 yards

Step-by-step explanation:

Recall :

Perimeter of rectangle : 2 (length + Width)

Given that :

Perimeter = 236 yards

Let length = l ; width = w

Length = (2w) - 2

Hence ;

236 = 2[(2w - 2) + w]

236 = 2(2w - 2 + w)

236 = 2(3w - 2)

236 = 6w - 4

236 + 4 = 6w

240 = 6w

w = 240/6

w = 40 yards

Length = 2(40) - 2 = 80 - 2 = 78 yards

Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?

Answers

Answer:

The E came before H

Step-by-step explanation:

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:

Mark and his 3 friends are out at Applebee's. Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly

Answers

27.92 each person would have to pay

How do I get the fractional form for cos 4π/3?

Answers

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

cos

(

π

+

π

3

)

=

cos

π

cos

(

π

3

)

sin

π

sin

(

π

3

)

=

(

1

)

(

1

2

)

(

0

)

(

3

2

)

=

1

2

The answer is -1/2 !!!

Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad

Answers

I believe you answer would be $4 + $0.85t =$9.95

Answer:

7

Step-by-step explanation:

c = $0.85t+$4

$9.95 = $0.85t+$4

$9.95-$4 = $0.85t

$5.95 = $0.85t

$5.95/$0.85 = t

7 = t

please help me thanks

Answers

Answer:

It is 61 degress an acute angle.

Step-by-step explanation:

A bicycle rider rode her bike 8 1/4 miles on Monday. Yesterday, she rode 6 3/8 miles. The difference in length between the two rides is what fraction of the longer ride? Part B. What distance did she ride if she biked 2 2/11 times her distance on Monday? Explain your response.

Answers

Answer:

oof good luck tho let me know the answer

Step-by-step explanation:

4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.

Answers

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

Solve this system of equations, then determine what y equals.

x + 5y= 7

2x + 4y = -4

Answers

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

The science department orders a new telescope and pays $253.87 after taxes.The tax rate is 6%. What was the original price of the telescope?

Answers

The original price would be $239.5, you can solve this by using proportions

Solve the inequality 4x-7<5

Answers

Answer:

x < 3

Step-by-step explanation:

Given

4x - 7 < 5 ( add 5 to both sides )

4x < 12 ( divide both sides by 4 )

x < 3

Please simplify: 5(2n + 7)

Answers

10n + 35 is the answer
5(2n+7)

So, you have to multiply 5 with all the numbers that are inside the parentheses. First, 5•2n is 10n and than 5•7 is 37. And the final answer is 10n+35. That’s the final answer. You don’t need to add 10n and 35 because 10 have a (n) a letter and 35 doesn’t, it’s different. :) hope you understand.

18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.

Answers

Answer:

He will receive $1, 400 for interest

&

A total amount of $6, 400

Step-by-step explanation:

To find the interest, we must apply the following formula:

I = P × R × T

I represents interest

R represents rate

T represents time

P represents principle

Steps:

1. Change the rate, which is 2%, into a decimal.

2. Multiply the principle, which is 5,000, by the rate, which is 0.02.

3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.

So he will receive $1, 400 interest.

To find the total amount he recieved, we must:

Add the principle, which is 5,000, and the current interest, which is 1, 400.

5,000 + 1,400= 6,400

He will receive a total of $6, 400

I hope this helps! I'm sorry if it's wrong.

A kangaroo can jump at a speed of 40 miles per hour. Which representation shows the distance a kangaroo can jump at this rate?

Answers

Answer:

y=40x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

plz help me with this

Answers

Answer:

slope:3

y intercept:1

equation:y=3x+1

Step-by-step explanation:

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

3x+4y=8 please solve for Y

Answers

Answer:

(8-3x)/4

Step-by-step explanation:

3x+4y=8

4y=8-3x

y=(8-3x)/4

So the answer is (8-3x)/4

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

Answers

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

hii guys happy chota dipawali​

Answers

Answer:

yay thats so coolllllllll

Hiiiiiii :) how are you all?

ARE THESE FUNCTIONS
-TABLE A IS A FUNCTION
-TABLE B IS A FUNCTION
-NEITHER
-BOTH
HELP

Answers

neither is a function

9514 1404 393

Answer:

  Table B is a function

Step-by-step explanation:

The relation shown in a table is NOT a function if the same input value gives different output values.

In Table A, input Taurus gives different outputs, so Table A is NOT a function.

In Table B, there are no repeated inputs, so Table B IS a function.

Question Progress
Homework Progress
.
fou
a) Write down the coordinates
of point A
4
3
21
A
b) Plot the point B (3. -2) on
the grid
1
4 3 -2 -1 0
1
2 3 4
c) Point C has the
same x-coordinate as point A
same y-coordinate as point B
2
3
Write down the coordinates
of point

Answers

Answer:

Please check the attached figure!

Step-by-step explanation:

Part a)

Point A is located at the x-coordinate x=-4 and y-coordinate y=1.

Hence, the coordinates of point A = (-4, 1)

Part b)

Point B(3, -2) has been plotted and is shown in the attached figure.

It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)

Part C)

Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.

Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.

-8-x=x - 4x
How do I solve this

Answers

1. subtract 4x to x then uu would get -3x
2. add x on the left to the -3x on the right
3. then divide 8 by 2
4. get the answer X = 4

Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

B. Side angle side
Both have two congruent sides and one congruent angle

True or false is a relation in which each y value has only 1 x value

Answers

Answer:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

Step-by-step explanation:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

The reason is very clear that we can not have the repeated x-values (two same x-values).

For example, given the set of the ordered pairs of a relation

{(3, a), (6, b), (6, c)}

As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.

In order to be a function, a relation must have only 1 x-value for each y-value.

Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.

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