Answer:
The graph is shown in the attachment
Step-by-step explanation:
We want to select the graph that represents the ceiling function f(x)=4⌈x⌉.
The parent ceiling function is g(x)=⌈x⌉.
The given function f(x)=4⌈x⌉ is therefore a vertical stretch of the parent ceiling function by a factor of 4.
The ceiling function is a step function so each step will be 4 units above above the previous ones.
See attachment for graph.
As for a specific equation, I could not say. However, I can tell you how to find x!
The first thing to remember is that a straight line has a 180 degree angle.
You see on the bottom side that we have a 146 degree angle. Now look at the top side. Look closely, and you will see that the two sides are actually identical!
Don't see it? Look at the line on top between x and 56, and imagine it is not there. You see that we actually have the same 146 degree angle, just flipped right side up!
However, this angle does not say 146, but makes an extra line between them with x and 56. This means that x + 56 equals 146!
So we can find x by subtracting 56, from 146, which is... 90!
Answer:
32,000cm²
Step-by-step explanation:
It already has an area which is lengh×width
So you only have to multiply with the height which is 20.
Dear Mgreeneyesd3, the ratios of children to teacher are proportional. 6/24=1/4, so if we do cross products, then we get 24=24.
All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone
V = (1/3)*pi*(r^2)*h
r is just the half of the diameter, h is the height which is equal to 8
Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches
Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches