Answer:
Step-by-step explanation:
l = 4m = 400 cm
w = 3m = 300 cm
Volume = 720000 cubic cm = 720000
length * width * height = 720000
400 * 300 * height = 720000
height = 720000 / 400 * 300 = 72/12 = 6 cm
Answer:
<em>The value 60 represents the speed of the vehicle the counselor is driving.</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear relationship between two variables d and t can be written in the form

Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis
The function provided in our problem is

Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:

Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases
"2 times pi times r", which can be written as "2*pi*r", represents the circumference of a circle. This is the distance around the circle (aka perimeter)
r is the radius of the circle
if you know the diameter then you can divide the diameter in half to get the radius (example: diameter is 10 so the radius is 5)
The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.
Answer:
There are 30 books in the shelf.
Step-by-step explanation:
To solve this problem we can use a rule of three in such a way that 12 paperback mysteries are related to 40% of the books in the shelf in the same proportion that "x" total books are related to 100% of the books in the shelf. So we have:
12 -> 40%
x -> 100%
40*x = 12*100
40*x = 1200
x = 1200/40
x = 30 books
There are 30 books in the shelf.