Let's pick some simple points with which to set up an example for ourselves for this. Let's let the smaller radius be 1, and the larger, twice that, be 2. The radius itself is a single unit measure; in other words, it's measured as inches, feet, cm, etc., while the volume is a cubed measure. Volume is measured in inches cubed, feet cubed, cm cubed, etc. Therefore, if we have the radii measuring 1:2, we simply cube those single unit measures to find the ratio of their volumes. 1 cubed is 1, and 2 cubed is 8. So your answer for this is 1/8.
Answer:
x=22
Step-by-step explanation:
Since the two triangles are similar we can set up two ratios...
(sorry if these numbers are wrong the picture isn't very clear)
38:15.2
We can simplify this ratio into...
2.5:1
Now we solve for x
55:x
We divide 55 by 2.5
55/2.5=22
x=22
Answer:
Step-by-step explanation:
2x(x - 3) + 7(x - 3)
2x^2 - 6x + 7x - 21
reduce
2x^2 + x - 21
if this is equal to 0 then:
2x^2 + x - 21 = 0
factored:
(2x + 7)(x - 3) = 0
How that was done:
Divide the (2x^2) into (2x) and (x).
Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).
Answer:
The answer is B)
Step-by-step explanation:
First, we look at what we know. There are two points on the graph that we know, (0, 0) and (15, 5). This can give us the slope of the line.
y2 - y1 / x2 - x1 | Plug in our coordinates
5 - 0 / 15 - 0 | 5 / 15 | 1/3. Our slope is 1/3. This means that for each inch of length, the ramp rises .33 inches.
Answer:
(a)4
(b)7
Explanation:
Given f(x) and g(x) defined below:
(a) f(g(3))
The value of f(g(3)) is 4.
(b) (g o f)(9)
The value of (g o f)(9) is 7.
