<h3>
Answer: C) 6 units</h3>
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Explanation:
Let's find the area of the hexagon. It's composed of two identical (aka congruent) trapezoids.
Each trapezoid has two parallel bases of 4+4 = 8 and 5 units. The height is 3. The area of one trapezoid is
area = height(base1+base2)/2
area = 3*(8+5)/2
area = 19.5
which doubles to 2*19.5 = 39 to represent the area of the entire hexagon
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The volume of any prism is found through this formula
volume = (area of base)*(height of prism)
We just found the area of the base to be 39. The height is unknown, so we'll call it h. The volume is given to be 234.
We end up with this equation
234 = 39h
which solves to h = 6 after dividing both sides by 39. This prism has a height of 6 units.
Answer:
c
Step-by-step explanation:
cwvw
ab^2x
\<span>ab^2x/ab^2y = --------------- = x/y. the ab^2 factor cancels from numerator
ab^2y and denominator.
</span>
Answer:
12
Step-by-step explanation:
8*4=32
3*4=12
In the given diagram, we can note that the tree divides the hypotenuse of the triangle as well as the side where the tree is based into halves.
In a triangle, when a line is drawn joining between the midpoints of two sides, this line is always parallel to the third side and equals half its length.
Applying this concept to the given diagram here, we will find that the tree is joining the midpoints of two sides of the triangle. this means that the tree is parallel to the building and the height of the tree is half the height of the building.
Therefore:
height of tree = 0.5 * 120 = 60 ft
