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:
<h2>The answer is option A</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
From the question the original line is
y = 2/3x - 7
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
So the equation of the line using point
(12 , 2 ) and slope 2/3 is
We have the final answer as
Hope this helps you
You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
Answer:
Step-by-step explanation:
we know that
The volume of the square pyramid is equal to
we have
----> the length of the base of the square pyramid
---> the height of the pyramid
substitute the values in the formula
-2 < n
3
This inequality basically says "-2 is less than n, which is less than or equal to 3".
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