Answer:
a) Triangle
b) Rectangle
Step-by-step explanation:
A triangular prism that has an equilateral base and a height with the same length as the base of the prism.
a) Shape from horizontal slicing
A plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. So the cross section of the horizontal slicing is an equilateral triangle (all the sides of the triangle are equal).
b) Shape from vertical slicing
If the triangular prism is sliced vertically, the resulting shape would be a rectangle with a length that is the same as the base of the prism.
The volume of this container is 5990 feet³.
<h3>How to calculate the volume?</h3>
Volume of a cylinder = πr²h
π = 3.14
r = radius = 17.5/2 = 8.75
h = 24.5
The volume will be:
= πr²h
= 3.14 × 8.75² × 24.5
= 5990 ft³
Therefore, the volume of this container is 5990 feet³.
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For systems of equations try using graphing, substitution, and elimination. For example
{2x+7y=3}
{x=-4y}
You should first look at if you have a variable that can be substituted (using substitution) and in this case we do! you plug in the x into 2x meaning 2(-4y)+7y=3
1) distribute -8y+7y=3
2) combine like terms in this case -8y+7y= -1y
3) solve -1y=3
y=-3
so currently our solution is (0,-3)
now we solve for x.
we plug our solved variable (y) into 7y
7(-3) and our equation looks like this
2x+7(-3)=3
1) distribute 7(-3)=-21
2) rewrite then solve 2x+(-21)=3
3) isolate variable -21+21 & 3+21
4) 2x=24
5) solve 2/24 = 12
Meaning our solution is (12,-3)
This is how to solve by substitution.
Let's make equation for this problem. Let's say the population of LV is x, then Sacramento will be x+275 since <span>Sacramento had 275 thousand more residents than Las Vegas. Remember that their total population is 2669, so your equation will be </span>
If you solve this equation, you have x=1197, that is population of LV. So Sacramento is 1472.
