Answer:
Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to
we have
---> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is equal to
we have
we have
---> the radius is the same that the radius of the cylinder
substitute
step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so
assume
The answer is 3 because 12-9=3
Picture related to the question is attached below
Answer:
Kendra should have divided by 2 instead of multiplying by 2
Step-by-step explanation:
40 percent = percentage who plan to attend
100% = total percentage of student
From the question ;
When reducing percentages, division is employed and this the equation should be :
40/2 ÷ 100/2
40/2 * 2/100
20 * 1/50
20/50
= 0.4
0.4 * 50
= 20 students
Step-by-step explanation:
<h2><em><u>This triathlon distance requires a 2.4 mile swim (3.9K), 112 mile bike (180.2K), and 26.2 mile run (42.2K). Depending on your fitness level, course conditions, and the weather on race day, you can expect to complete these three legs in about 10 to 17 hours.</u></em></h2>
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
