By the pythagorean theorem:

L^2=9^2+x^2

and we are told if:

L^2=(x+3)^2

L=x+3

L-3=x now using this in our first equation L^2=9^2+x^2 we get

L^2=9^2+(L-3)^2

L^2=81+L^2-6L+9

0=90-6L

6L=90

L=15 ft

4 0

3 years ago

the washer is made from a disk of metal that has a mass of 41.7 g. A hole is stamped in the disk and 20.2 g of metal was removed

gtnhenbr [62]

So you would do 41.7g - 20.2g and get 21.5g, then multiply it by 140g. 140g x 21.5g = 3010g

5 0

3 years ago

In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the dist

enyata [817]

Given:

The given equation is

$1-(x+2)+2x=5(2x-5)-x$

Mikel first applies the distributive property.

To find:

The resulted equation of this step.

Solution:

We have,

$1-(x+2)+2x=5(2x-5)-x$

According to the distributive property,

$a(b+c)=ab+ac$

Using distributive property, we get

$1-(x)-(2)+2x=5(2x)+5(-5)-x$

$1-x-2+2x=10x-25-x$

Therefore, the resulted equation after distributive property is $1-x-2+2x=10x-25-x$ .

7 0

3 years ago

If a cylinder has a radius of 10 inches and a height of 4 inches what is the volume

Alina [70]

Answer:

Step-by-step explanation:

The volume of a cylinder is

$V=h\pi r^2\\ \\ h=4in,\ r=10in\\ \\ V=4\pi (10^2)\\ \\ V=400\pi \in^3 \\ \\ V\approx 1256.64\ in^3$

5 0

3 years ago