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2 years ago

I need to find the value of x

Mathematics

1 answer:

Yanka [14]2 years ago

3 0

Answer:

Step-by-step explanation:

Radius = x

The triangle in the given image is a right angled triangle.

By Pythagoras theorem,

x² + 12² = ( x + 6 )²

x² + 144 = x² + 36 + 12x

x² - x² = 36 - 144 + 12x

0 = - 108 + 12x

12x = 108

x = 108 / 12

x = 9

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I believe there are 35 backpacks in all. 2 closets have 6 shelves all together. Then 6*5=35.

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2 years ago

The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m

SCORPION-xisa [38]

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2 years ago

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If you have 23500 apples and you had 42600 oranges how many do you have in all?

vekshin1

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Step-by-step explanation:

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2 years ago

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

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2 years ago

Simplify each expression. 6mn3 -mn2 + 3mn3 +15mn2??

bekas [8.4K]

Answer:

9m(n)^3 +14m(n)^2

Step-by-step explanation:

6m(n)^3 - m(n)^2 + 3m(n)^3 + 15m(n)^2

=> 6m(n)^3 + 3m(n)^3 + 15m(n)^2 - m(n)^2

=> 9m(n)^3 +14m(n)^2

4 0

2 years ago

I need to find the value of x​

I need to find the value of x