The volume of a prism is area of the base times height.
This is a triangular prism. The base is a triangle.
The volume is area of the base times height, and the base is a triangle.
Find the area of the triangle and multiply by the height of the prism.
V = volume of the prism
A = area of the base
H = height of the prism
h = height of the triangle
b = base of the triangle
V = AH
V = (1/2)bhH
V = (1/2) * 9 ft * 7 ft * 15 ft
V = 472.5 ft^3
Answer:
Euler's Formula states that:
V -E +F = 2 meaning that the vertices minus the edges plus the faces of a convex polyhedron will always equal two.
So, for the initial question, we have 40 edges and 24 faces.
So, vertices = 2 + Edges -Faces
Vertices = 2 + 40 - 24
Vertices = 18
Source: https://www.1728.org/platonic.htm
Step-by-step explanation:
Answer:
0.3
Step-by-step explanation:
Divide the second term (12) with the first term (40), and you'll get 0.3
This is correct because you get the terms in the correct order when multiplying:
(First term: 40. Common ratio: 0.3)
40 x 0.3 = <u>12</u>
<u>12</u> x 0.3<em> </em>= <em>3.6</em>
40, <u>12</u>, <em>3.6</em>
Answer:
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is

Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'

solving for y to writing the equation in the slope-intercept form and determining the slope

Add -x to both sides.


Divide both sides by -2


comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.