All categories

3 years ago

The sum of three numbers is 27 the second number is three times the first while the third is twice the first find their average

Mathematics

1 answer:

Leviafan [203]3 years ago

6 0

Answer:

Step-by-step explanation:

x = first number

3x = second number

2x = third number

27 = x + 3x+ 2x

27 = 6x

x=4.5 (first number)

3(4.5) = 13.5 (second number)

2(4.5) = 9 (third number)

(4.5 + 13.5 + 9) /3 = 9

Wow after doing all that I realized that all you had to do was 27/3 since there's 3 numbers.

You might be interested in

Please answer this correctly

Fantom [35]

Answer:

4 weeks 5 days

Step-by-step explanation:

3 0

4 years ago

Prove that if sin (2 + y) = 3 sin (x - y), then tan x = 2 tany.

nignag [31]

Answer:

The proof is given below.

Step-by-step explanation:

Given: ( the correct question and ans is as follow )

sin (x + y) = 3sin ( x - y)

To Prove

tan x = 2 tan y

Proof:

$\sin (x+y) = 3\sin (x-y)$

Using the identities

$\sin (A+B) = \sin A.\cos B + \cos A.\sin B\\and\\\sin (A-B) = \sin A.\cos B - \cos A.\sin B\\$

we get

$\sin x.\cos y + \cos x.\sin y = 3(\sin x.\cos y - \cos x.\sin y)\\\sin x.\cos y + \cos x.\sin y = 3\sin x.\cos y - 3\cos x.\sin y$

Now we will take sin x . cos y to the left hand side and cos x . sin y to the right hand side,we get

$3\sin x.\cos y - \sin x.\cos y = 3\cos x.\sin y +\cos x.\sin y\\2\sin x.\cos y =4\cos x.\sin y\\\sin x.\cos y =2\cos x.\sin y \ \textrm{4 divide by 2}\\ \frac{\sin x}{\cos x} =2\times \frac{\sin y}{\cos y} \\\textrm{we know identity }\\\frac{\sin x}{\cos x} = \tan x\\\frac{\sin y}{\cos y} = \tan y\\\therefore \tan x = 2\tan y\ ...............{PROVED}$

7 0

3 years ago

[Help asap] are these congruent?

PolarNik [594]

Yes. Both are at a right angle and both have the little tick on line AB and XY, so they must be congruent.

6 0

3 years ago

Read 2 more answers

what pattern do you observe regarding the number of lines of reflection through a regular polygon that will map the polygon onto

valina [46]

Answer: the number of sides of a regular polygon is the same as the number of lines of reflection that can map the polygon into itself. The number of lines of symmetry is the same as the number of lines of reflection for mapping. (this is word for word so i suggest rewording)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

11- In

erica [24]

Answer: 20,736

<u>Step-by-step explanation:</u>

Math and History and Chemistry and Biology and Subjects

3! x 4! x 3! x 1! x 4! = 20,736

5 0

3 years ago