Prove (n + 6)² – (n + 2)² is always a multiple of 8​

The value of Sin 2x if, Sin x = 2 / 5  and tan(x) > 0, is 4 √21 / 25 so, option B is correct.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).

Given:

Sinx = 2 / 5  and  tan(x) > 0,

Calculate the value of tan x as shown below,

B² = 5² - 2²  (Using Pythagoras theorem)

B² = 25 - 4

B = √21

Hence, Tan x = 2 / √21

Calculate the value of Sin 2x as shown below,

Sin2x = 2 Tan x / (1 + tan² x)

Sin2x = 2 × 2 / √21 / (1 + (2 / √21)²)

Sin2x = 4 / √21 / (1 + 4 / 21)

Sin2x = 4 / √ 21 / (25 / 21)

Sin2x = 4 √21 / 25

Thus, the value of Sin2x  is 4 √21 / 25.

To know more about Trigonometry:

https://brainly.com/question/17081568

#SPJ5

Answer:

B

Step-by-step explanation:

just took it

So if you solve for x using the first equation, you get: x = 5y - 5.

From there you can plug that into the second equation which would give you:

7y-5y+5=-23

Simplifying from that point, you get y = -9.

Now that you have one of the values, you can solve for x by plugging it back into the equation we made (x = 5y - 5) and getting to the answer x = -40.

Answer:

no real solutions

Step-by-step explanation:

Answer:

The triangles are similar as the ratio of their corresponding sides are equal

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

As we can see, 85 is between 10 and 18

The ratio of the numbers will be ;

10/18 and 25/45

To the simplest terms;

5/9 and 5/9

Since the ratio is equal, then the triangles are similar

Answer:

Infintely many solutions

Step-by-step explanation:

I'm going to assume that the capital y is equal to the lowerase y

if you subtract y and two from both sides in the second equation you get

-y=2x-2

you then divide by -1 to get it into a normal form

y= -2x+2

this is the same as the first equation, these lines are the same

The answer is 7x/12 - 1/2. Its the first option in your picture. Hope this helps .

Answer:

19) 28°

20) 60°

21) 17°

Step-by-step explanation:

19)

Supplementary angles:

(x + 12)º + 140º = 180º

x + 12 + 140 = 180

x = 180 - 140 - 12

x = 28º

20)

Angles at a point:

(- 24 + x)° + 24° + 300° = 360°

- 24 + x + 24 + 300 = 360

x = 360 - 300

x = 60°

21)

Vertically opposite angles:

(1 + 3x)° = 52°

1 + 3x = 52

3x = 52 - 1

3x = 51

x = 17°

your Answers are:

1. 0

2. 128

Answer:

x = 3

Step-by-step explanation:

(4/5)^x = 64/125​ means that 4^x / 5^x = 64/125

x can only be 3 because 4^3 = 64 and 5^3 = 125

Please mark Brainliest :)

Answer:

45.56923076923077

Step-by-step explanation:

Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....

Answer:

the 3rd one

Step-by-step explanation:

no problemo

Answer:

A

Step-by-step explanation:

Answer:

$27.12

Step-by-step:

So, we first need to learn how much money the tax is. We can find it like this

8.5 8.5x12.50

------ x 12.50 = ----------------

100 100

106.25

= ------------- = 1.0625 ~~ $1.06

100

The tax is $1.06

So now, the only thing left is to add

12.50 + 1.06 = $13.56

13.56x2 = $27.12 (for both gifts)

In total, both gifts cost $27.12 with tax.

In total, both gifts cost

Answer:

The value of n = 4 and  

The value of x = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = [tex]\frac{5}{3}[/tex]

∴ we get

n = 4 and  x = [tex]\frac{5}{3}[/tex]

Now, check that value of n and x satisfies the equation or not

12([tex]\frac{5}{3}[/tex]) - 20 = 4( 3([tex]\frac{5}{3}[/tex]) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = [tex]\frac{5}{3}[/tex]

Answer: What now?

Step-by-step explanation: If this is for someone else then sorry

Answer:

mp=cp+40%of cp=140cp/100=1.4cp

discount=20%

cp=6000

mp=1.4cp=1.4×6000=8400

sp=mp-d%of mp=8400-20/100×8400=8400-1680=6720

sp with vat=sp+vat %of sp=6720+13/100×6720=6720+873.6=7593.6

Answer:

80inches

Step-by-step explanation:

17+17=34

23+23=46

34+46=80

Answer:

4

Step-by-step explanation:

The distance between the two points is (-1,-4) - (-5,-4)

Answer:

.50

Step-by-step explanation:

9514 1404 393

Answer:

  x = 7 (multiplicity 2)

Step-by-step explanation:

When the function is written in factored form, the zeros are the values of the variable that make the factors zero.

  y = (x -7)(x -7)

The values x = 7 and x = 7 will make the factors zero. The zero is said to be x=7 with multiplicity 2.

__

On the graph, the zeros are the x-intercepts (where y=0). The graph only touches the x-axis, but does not cross. With some experience, you can recognize that this is a zero with even multiplicity (2).

Answer:

2.36 ounces

Step-by-step explanation:

11.8 ounces / 5 people = 11.8/5 = 2.36 ounces each.

Answer:

2.36 oz

Step-by-step explanation:

To answer this, we need to divide 11.8 oz by 5.

11.8/5 = 2.36

So each person gets 2.36 ounces of cheese

Answer:

a = 60

b = 60

c = 120

Step-by-step explanation:

For a;

a + 120 = 180

This is because angles on a straight line are supplementary

a = 180-120

a = 60

a = b = 60

This is because they are corresponding angles and corresponding angles are equal

c = 120

This is because they are alternate exterior angles and alternate exterior angles are equal

Answer:

(5, 1)

Step-by-step explanation:

Substitute:

[tex]3x - 7*1 = 8\\3x - 7 = 8\\3x = 15\\x = 5[/tex]

so the solution is (5, 1)

Answer:

Step-by-step explanation:

(1,3)

Answer:

I believe it is four dollars