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1 year ago

PLEASE HELP ASAP (QUICK MATH QUESTION)

Mathematics

1 answer:

Mama L [17]1 year ago

4 0

The given identity sin(x+ y) - sin (x- y) = 2 cos x sin y has been verified

The identity is

sin(x+ y) - sin (x- y) = 2 cos x sin y

Here we have to use the trigonometric function

Consider the right hand side of the equation

We know

sin (x+ y) = sin x cos y + cos x sin y

sin (x-y) = sin x cos y - cos x sin y

Then

sin(x+ y) - sin (x- y) = sin x cos y + cos x sin y - (sin x cos y - cos x sin y)

= sin x cos y + cos x sin y - sin x cos y + cos x sin y

Eliminate the terms

= cos x sin y + cos x sin y

= 2 cos x sin y

Hence, the given identity sin(x+ y) - sin (x- y) = 2 cos x sin y has been verified

Learn more about trigonometric function here

brainly.com/question/14746686

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Help:) (no links please)!!!!

ICE Princess25 [194]

The answer is 9 miles!

3 0

3 years ago

emily read 24 fiction books and 2 nonfiction books. what is the ratio of the number of fiction books she read to the total numbe

Elis [28]

Answer:

24:26 or 12:13

Step-by-step explanation:

Ratios can be better understood if you read 24:26 as: Emily read 24 fiction books for every 26 books.

The question tells us Emily read 24 fiction books and 2 nonfiction books. We know she read 24 fiction books so that is the first part of our ratio. Now, they want to know how many total books did she read. Well, she read 24 fiction and 2 nonfiction. 24+2 = 26. 26 books total! So now we have the second part of our ratio and end up with the ratio of 24:26. But now, we have to simplify it. Simplifying ratios is like simplyfing fractions. You have to find their greatest common factor. The greatest common factor of 24 and 26 is 2. Now you divide both number by their greatest common factor (2). Finally, we end up with the ratio of 12:13.

Greatest common factor help: https://www.mathsisfun.com/greatest-common-factor.html

7 0

3 years ago

I need help, pls and thx

Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a}$

$x_2 = \frac{-b - \sqrt{\Delta}}{2a}$

In which:

$\Delta = b^2 - 4ac$

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

$\Delta = (-2)^2 - 4(5)(7) = 144$

$x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}$

$x_2 = \frac{2 - \sqrt{144}}{10} = -1$

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at brainly.com/question/24737967

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7 0

2 years ago

A shelf has four books on it. the weight, in pounds, of each of the four books on the shelf is listed below. (They are: 2.5, 3.2

kvv77 [185]

The answer is D. (w<3.3)

4 0

3 years ago

Read 2 more answers

I need help with these questions

inysia [295]

Answer:

28. m<A=20°, m<B=70°

32. m<A=103°, m<B=77°

Step-by-step explanation:

complementary angle=a+b=90°

supplementary angle=a+b=180°

28. A+B=90°

5x+17x+2=90°

22x+2=90°

22x=90-2

22x=88

22x/22=88/22

x=88/22=4

m<A=5x=5*4=20°

m<B=17x+2=17*4+2=68+2=70°

Check

A+B=90°

20+70=90°

90°=90°

32. A+B=180°

x+11+x-15=180°

2x-4=180°

2x=180+4

2x=184

2x/2=184/2

x=184/2

x=92

m<A=x+11=92+11=103°

m<B=x-15=92-15=77°

Check

A+B=180°

103+77=180°

180°=180°

6 0

3 years ago