First, draw a circle with point U as the center point and point S as the end of the radius. Then, draw another circle with point D as the center point and the radius length equal to US. Next, draw ray DE away from angle SUN. Finally, draw angle SUN.
The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
<h3>
What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
We have a triangular prism shown in the picture with dimensions.
As we know, the volume of the triangular prism is given by:
V = bhl/2
h = √[2²- (2/2)²]
h = √(4-1)
h = √3 units
V = (2×√3×5)/2
V = 5√3 cubic units
Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
Learn more about the volume here:
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Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Answer:
30
Step-by-step explanation:
You multipy 5 by 3 by 2
