Answer:
The solution for x would be 4.
Step-by-step explanation:
2x - 1 = 7
The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4
The sides of the triangle occur in a ratio of 4 : 7 : 2, so if <em>x</em> is some positive number, then we can write each side's length in terms of <em>x</em> as 4<em>x</em>, 7<em>x</em>, and 2<em>x</em>.
The perimeter is 299 yd, so
4<em>x</em> + 7<em>x</em> + 2<em>x</em> = 299 yd
13<em>x</em> = 299 yd
<em>x</em> = (299 yd) / 13
<em>x</em> = 23 yd
Then the sides of the triangle have lengths of
4<em>x</em> = 4 • 23 yd = 104 yd
7<em>x</em> = 7 • 23 yd = 161 yd
2<em>x</em> = 2 • 23 yd = 46 yd
"Median" here refers to the side length between the shortest and longest sides, so the answer would be 104 yd.
Answer:
The scale factor is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z----> the scale factor
x----> volume of solid B
y ----> volume of solid A

we have


substitute

![z=\sqrt[3]{\frac{500}{171.5}}=1.429](https://tex.z-dn.net/?f=z%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B171.5%7D%7D%3D1.429)
Answer: The height is 5 inches.
Step-by-step explanation:
The surface area of a cylinder uses the formula A= 2
rh + 2
r^2
so as you could see in the equation there is an h in in it which re
presents the height and we know the diameter is 2 so we need to find the radius and the radius is 1 because half of 2 is 1 or half the diameter is the radius.
Now put the radius into the equation and and solve for the height and as you could see the surface area is left in terms of pi.
12
= 2
* 1 * h + 2
* 1
12
= 2
* h + 2
-2
2
10
= 2
h
h =5