The little rectangle in the top right means the angle is a right angle which equals 90 degrees.
This also means all the other angles are also 90 degrees.
Solve for x:
2x+8 = 90
Subtract 8 from both sides:
2x = 82
Divide both sides by 2:
x = 82/2
x = 41
Volume of the hexagonal prism = 1732.7772 ft³
Solution:
Height of the prism (H) = 15.4 ft
Side of the hexagon base (b) = 6.58 ft
Height from center to the side length (h) = 5.7 ft.
Let us first find the area of the base.
Area of the base (B) = ![6\times\frac{1}{2}\ bh](https://tex.z-dn.net/?f=6%5Ctimes%5Cfrac%7B1%7D%7B2%7D%5C%20%20bh)
![$=6\times\frac{1}{2}\times 6.58 \times 5.7](https://tex.z-dn.net/?f=%24%3D6%5Ctimes%5Cfrac%7B1%7D%7B2%7D%5Ctimes%206.58%20%5Ctimes%205.7)
Area of the base (B) = 112.518 ft²
To find the volume of the hexagonal prism:
Volume of the hexagonal prism = Area of the base × Height
= 112.518 × 15.4
= 1732.7772 ft³
The volume of the hexagonal prism is about 1732.7772 ft³.
9+8 is the commutative property
Answer:
5/6 liters.
Step-by-step explanation:
Given that:
Amount of juice in a punch bowl = 2 * 1/2 liters
= 5/2 liters.
Part of juice drank by Liam from the bowl = 1/3
Amount of juice drank by Liam =
= 5/2 * 1/3 = 5\6 liters.
Answer:
1295/36
Step-by-step explanation:
the statement tell us:
(7-(5/6))*(7-(7/6))
we have:
(7-(5/6))=((6*7)-5)/6=(42-5)/6=37/6
and we have:
(7-(7/6))=((6*7)-7)/6=(42-7)/6=35/6
we need multiply both terms:
(37/6)*(35/6)=(37*35)/(6*6)
finally we have
1295/36