List all subsets of the set {A, B, C} using proper notation

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to prove that:

[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]

Taking LHS, we get:

[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]

We can take sin(x) as common from numerator part. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]

Similarly, we can take cos(x) as common from first two terms. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]

[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

As we know that:

[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]

We get:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

Now, we will expand the terms in fraction:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]

As we know that:

[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]

[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]

[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]

Now substitute the values in the expression, we get:

[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]

[tex]\rm = \tan(x)\cdot1[/tex]

[tex]\rm = \tan(x)[/tex]

Here, we notice that LHS = RHS

Proved.

Answer:

$395.55

Step-by-step explanation:

45%+10%=55%

100%-55%=45%

Since 45% is 45/100 in fractions, use that x 879 for the final price.

45/100x879=395.55

Hope this helps! Thanks.

Answer:

435.11

Step-by-step explanation:

First find the sale price of the computer. Then take the additional 10% off of the sale price.

Answer:

10 feet tall

Step-by-step explanation:

(Triangle problem was answered in a previous question)

So like before, we have a ratio: 1.5inches:2.5feet

We have a starting value as well: 6 inches

All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)

To begin, dvide 6 by 1.5

6inches/1.5inches = 4 (The units canceled out during division)

Not multiply by the ratio:

4 * 2.5feet = 10 feet (It takes the units in feet)

Therefore, the tree is actually 10 feet tall.

Answer:

If you make $55,000 a year living in the region of Pennsylvania, USA, you will be taxed $11,017. That means that your net pay will be $43,984 per year, or $3,665 per month. Your average tax rate is 20.0% and your marginal tax rate is 32.8%.

Step-by-step explanation:

Answer:

117 - 86 = 31°

The answe is 31

Answer:

is this what your looking for?

Answer:

lol no34532534

Step-by-step explanation:

Answer:1 mile traveled at the rate of 200 miles in 60 minutes. ... Therefore, it would take 18 seconds to travel 1 mile going at a speed of 200 miles per hour!

Step-by-step explanation:

Step-by-step explanation:

oh, come on, just multiplication.

7.5×10⁴ years is 7.5×10000 =75000 years.

0.005 inches per year for 75000 years means

0.005 × 75000 = 5 × 75 = 375 inches.

Answer:

it's C. 3/40

Step-by-step explanation:

ghjfrukkbf

Answer:

Step-by-step explanation:

The ratio of height to shadow length will be proportional.

2.6 / 1.26 = h / 37.25

h = 37.25(2.6)/1.26 = 76.865079...

h = 76.9 m

Answer:

11

Step-by-step explanation:

4-1=3/11-7=4

Answer:

1/12 pounds of strawbebbies left.

Step-by-step explanation:

Answer:

Ой ну не знаю очень сложный вопрос

Step-by-step explanation:

side A / side B = 4/9

side A = 12 yards

=>

12 / side B = 4/9

12 = side B × 4/9

9×12 = side B × 4

side B = 9×12/4 = 9×3 = 27 yards

perimeter of B is 4×side B = 4×27 = 108 yards

[tex]\huge\fbox\orange{S} \huge\fbox\red{C}\huge\fbox\blue{R}\huge\fbox\green{O}\huge\fbox\gray{L}\huge\fbox\purple{L>}[/tex]

[tex]\huge\underline\mathtt\colorbox{cyan}{2.49 cubed=15.438249}[/tex]

[tex]\huge\underline\mathtt\colorbox{red}{2.98 cubed=26.463592}[/tex]

Answer:

[tex]\huge\boxed{\sf \frac{7}{40} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

7/40

Step-by-step explanation:

7 cant go into 40 so it just stays as 7/40

Answer:

3x^2 and 9x^2, 3x and 4x

Step-by-step explanation:

Answer:

aaaaaaaa nad its by

Step-by-step explanation:

Answer:

You can think about them like if they are more or less than the half of the fraction

Answer:

The answer is 620,910,000 I worked it out By the way:)

Answer:

620,910,000 - Number form

620.9M+ - Short form

Six hundred twenty million, nine hundred, and ten thousand - Word form

Step-by-step explanation:

1. If you want me to go in full detail, I'll just say that I used a bit of internet search for the word form because I'm dyslexic, but yet I'm here in brainly answering other people's questions.

2. Have a wonderful day to you too!!

Hope this helped! :^)

- ✨7272033Alt✨

Answer:

43%

Step-by-step explanation:

mark me as brainliest please

Answer:

The greatest common factor is surprisingly 6.

All three numbers can be divided by 6 and it is the highest value that can be taken from all three numbers.

Step-by-step explanation:

Hope this helps.

<3

Answer:

the GCF of those numbers is 6.

Step-by-step explanation:

One way to solve this is to list the factors of them, then find the greatest one that they share.

42: 1, 2, 3, 6, 7, 14, 21, 42

12: 1, 2, 3, 4, 6, 12

6: 1, 2, 3, 6

If we look at them, notice that six is in all of them. All of them have factors of six. Can we go any higher than that? No because six is the greatest factor of six, so we can't go any higher and still have all of them share a GCF. So your answer is 6.

Step-by-step explanation:

Let's first find the slope

(-5-2)/(5--1) = -7/6

the equation should be

[tex]y = \frac{ - 7}{6} x + c[/tex]

To find c, we replace X with -1 and Y with 2

c= 5/6

So the equation is

[tex]y = \frac{ - 7}{6} x + \frac{5}{6} [/tex]

And if you multiply everything by 6 you get

6y = -7x +5

Answer:

[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]

Step-by-step explanation:

We know,The formula of Tan ∅ is–

[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]

Therefore,Tan P will be Option D

[tex]\sf\longmapsto \: \frac{15}{8} [/tex]