The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.
<h3>What is a triangular prism?</h3>
When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.
It is given that:
A right triangular prism with dimensions
As we know, the volume of the right triangular prism is given by:
Volume = (1/2)bhl
Here b and l are the base dimensions h is the height of the prism
From the trigonometric ratios:
h = 10sin(25) = 4.23 units
b = 10cos(25) = 9.06 units
l = 8 units
Volume = (1/2)(9.06)(4.23)(8)
Volume = 153.30 cubic units
Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.
Learn more about triangular prisms here:
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Answer:
Below in bold.
Step-by-step explanation:
As its direct variation the graph is a straight line and passes through the origin (0,0) and the slope (y/x) is a constant.
The fraction (y/x) for any point will be a constant.
The fraction for (6, 4) is 4/6 = 2/3.
So also on the line we have:
(-9, -6) (because -6/-9 = 2/3).
and (3, 2).
Answer: 286 minutes
Step-by-step explanation:
x : # of months that has gone by
0.24x : cost of the 24 cent plan after "x" minutes
39.95 + 0.10x : cost of the 10 cent plan after "x" minutes
1. 39.95 + 0.10x > 0.24x
2. 39.95 > 0.24x - 0.10x
3. 39.95 > 0.14x
4. 285.36 > x
x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal
Answer:
The negative outside the parentheses indicates that the vertex is a maximum
f(x) has a minimum vertex
g(x) has a maximum
Step-by-step explanation:
Answer:
7:24 or 
Step-by-step explanation:
a ratio is usually defined as a fraction ( the first to the next)
