Step One
Find the base area of the large hexagon as though the smaller one was not removed.
Area = 3*Sqrt(3) * a^2 /2 where a is the length of one side of the hexagon
a = 5
Area = 3*sqrt(3) * 25/2 = 75 sqrt(3) / 2 of the large hexagon without the smaller one removed.
Step Two
Find the area of the smaller hexagon. In this case a = 4
Area2 = 3*sqrt(3)*16/2 = 3*sqrt(3)*8 = 24 sqrt(3)
Step Three
Find the area of the thick hexagonal area left by the removal of the small hexagon.
Area of the remaining piece = area of large hexagon - area of the small hexagon
Area of the remaining piece = 75 *sqrt(3)/2 - 24*sqrt(3)
Step Four
Find the volume of the results of the area from step 3
Volume = Area * h
h = 18
Volume = (75 * sqrt(3)/2 - 24*sqrt(3))* 18
I'm going to leave you with the job of changing all of this to a decimal answer. I get about 420 cm^3
Answer:
3
Step-by-step explanation:
5x-2y=3 when: y=2x
1. Plug in the y-value (y=2x) into the equation (5x-2y=3). The equation should then look like 5x-2(2x)=3
2. Simplify:
5x-2(2x)=3
5x-4x=3
1x=3
x=3
Check:
5x-2(2x)=3 (plug in the x-value you solved for: 3)
5(3)-2×2(3)=3
15-2×6=3
15-12=3
3=3
Hope this helped !
Cheers, Z
Answer:
The answer is B m=-
Step-by-step explanation:
Ashley burned calories faster because she burned almost 9 calories per minute and Tessa only burned 8.5 per minute
