Answer: You should cut out squares that are 4 inches by 4 inches.
One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.
The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.
Length = 19 - 2x
Width = 18 - 2x
Height = x
Volume = LWH
So our equation could be: y = (19 - 2x)(18 - 2x)x
If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
The easiest way to find the area of a triangle is by doing 1/2 base x height. So halve the base, 2.4 / 2 = 1.2. Now do 1.2 x 0.8. Which equals 0.96.
What you need to know in order to answer this:
In math, the symbol " ! " is used to indicate "factorial".
"Factorial" means the product of the integers from 1
up to the number.
Examples:
2 ! = "two factorial" = 1 * 2 = 2
4 ! = "four factorial" = 1 * 2 * 3 * 4 = 24
For this question:
10 ! = "ten factorial" = 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10
= 3,628,800 .
If you look at your calculator very closely, I'll bet you
there's a key on it marked " x ! " .
Enter a whole number into the calculator, and that key
gives you the factorial of the number.
And by the way, the points aren't 'free'. I had to
give you some information in order to earn them.
The answer is D.
F(x) = y is basically what you are looking for. You substitute x for x and find if it matches with Y. D is the only answer where the ordered pair (-6, 10) ,matches up with F(x) = y.
First we can either add 19 and 11, or we can do this another way.
19 + 11 = 30 To find how much thirty tens are, just add a 0 on the end of 30: 300
The other longer way to do it is: add a 0 to 19: 190, then add a 0 to 11: 110
110 + 190 = 300
There is your answer!
