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lilavasa [31]
2 years ago
7

Which shape does the intersection of the horizontal plane with a prism look like

Mathematics
1 answer:
slega [8]2 years ago
3 0

Answer:

Triangle

Step-by-step explanation:

Given: A prism

To find: the intersection of the horizontal plane with a prism

Solution:

A prism is a polyhedron having two parallel faces The other faces are always parallelograms. A prism can have rectangular or other polygon shapes.

The intersection of the horizontal plane with a prism looks like a triangle.

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A particular sawdust pile has a base diameter of 25 feet when the height is 20 feet. Find the volume of this sawdust pile when i
Artist 52 [7]

The volume of the sawdust pile is 11,039.06 ft³.

<h3>What is the volume of the pile?
</h3>

The shape of the sawdust pile would be a cone. The diameter is always proportional to its height.

Diameter = k x height

where k is equivalent to the rate of increase of the diameter with respect to the increase in height.

25= k20

k = 25 / 20

k = 1.25

Diameter when height is 30 ft = 1.25x 30 = 35.50 feet

Volume of the sawdust = \frac{1}{3}πr²h

Where:

  • π = 3.14
  • r = radius = diameter / 2 = 35.50 / 2 = 18.75
  • h = 30

\frac{1}{3} x 3.14 x 18.75² x 30 = 11,039.06 ft³

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

4 0
1 year ago
Factor this trinomial.<br> x2 + 2x-3
andre [41]

Answer:(x-1) (x+3)

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
Select all the correct graphs.<br> Choose the graphs that indicate equations with no solution.
Natali [406]

Answer:

The first and last graph.

General Formulas and Concepts:

<u>Algebra I</u>

  • Solving systems of equations graphically

Step-by-step explanation:

In order for a systems of equations to have a solution set, the 2 graphs must intersect at at least 1 point. Here, we see that graphs 1 and 5 do not intersect each other at all.

Therefore, the rest of the graphs have solutions and #1 and #5 do no have any solutions.

3 0
3 years ago
¿cuál es el vértice de una parábola que corta los ejes en los puntos (-1,0) , (5,0), (0,-10) ?​
kvasek [131]

Answer:

vertex: (2,-18)

Step-by-step explanation:

y = ax² + bx + c

(-1,0) : a - b + c = 0       ...(1)

(5,0) : 25a +5b +c = 0  ...(2)

(0,-10): 0a + 0b + c = -10        c=-10

(1) x5: 5a - 5b + 5c = 0  ...(3)

(2)+(3): 30a + 6c = 0          30a = -6c = 60        a = 2

(1): 2 - b -10 = 0     b = -8

Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18

equation: y = a(x-h)²+k     (h,k): vertex

vertex: (2,-18)

3 0
2 years ago
RECREATION An instructor at a swimming pool asked her students if they would be interested in a n advanced swimming course, and
vfiekz [6]
She can expect 522 people to take the advanced course.
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2 years ago
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