Answer:
diameter(d)=8 in.
radius(r)= d/2= 4 in.
height(h)= 3r = 3(4) = 12 in.
Volume=r ² h
=(3.14)(4)²(12)
=(3.14)(16)(12)
=602.88 in.
Therefore, the volume of the cylinder is 602.88 in.
Step-by-step explanation:
8. 0, 12,-45,-156.
9.
A. -27
B. -27,-19,-13,-5,4,0
C. 0
Answer:
2
Step-by-step explanation:
If two shapes are similar, this means the ratio of similar sides to each other are the same.
So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).
Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.
Solutions
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
Equation # 1
x + y = 86
This says that t<span>he vendor sold 86 items.
</span>Equation # 2
2x + 5y = 330
= $2 for each lemonade
= $5 for each hot dog.
= total amount earned is $330.
Only these two equations are true and needed.