Answer:
Area of regular pentagon is 238.95 square inches.
Step-by-step explanation:
Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.
we know a regular polygon divides into 5 congruent triangles.
Side of pentagon i.e base of one triangle is 11.8 inches.
Also, distance from center to middle of side which is height of triangle is 8.1 inches.
Area of 1 triangle= 
= 
= 47.79 sq inches.
Area of regular pentagon=area of 5 congruent triangles= 
=238.95 sq inches.
Answer:
Its 60 degrees
Step-by-step explanation:
Opposite angles are equal so then CGE is the same as FGD and since angle CGB is a right angle we can subract the 30 from 90 and get a 60
Answer and Step-by-step explanation:
Section the figure into two 3D shapes.
We get both figures to be a rectangular prism.
The Volume of a rectangular prism is length times width times height.
V (of top Rectangular Prism) = 2 × 2 × 4 = 16
V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48
Now, we add those two volumes together to get the volume of the irregular figure.
16 + 48 = 64.
<u><em>The volume of the irregular figure is 64 </em></u>
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<u><em>#teamtrees #PAW (Plant And Water)</em></u>
Answer:
Step-by-step explanation:
This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.
343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is
(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:
(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to
(7x + 6y)(49x^2 - 42xy + 36y^2)
