Surface area = 17*(sqrt(1155) + 19)
h^2 = 19^2 - 17^2/4
=> h = sqrt(4*19^2 - 17^2)/2 = sqrt(1155)/2
Surface area = 4(1/2*h*17) + 17*19 = 17(sqrt(1155) + 19)
Use the sum of cubes factoring rule

to transform the left hand side into the right hand side.


Throughout the entire process, the right hand side stayed the same.
On the last step, I used the pythagorean identity.
Step-by-step explanation:
3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,
2y^2 = 12 ---> y^2 = 6
or
y = √6
4.This is an equilateral triangle of side 11 so
y = 11/2
To find x, use the definition of sine 60:
sin 60° = opp/hyp
= x/11
or
x = 11sin60° = (11√3)/2
Answer:
1/35 sq. ft.
Step-by-step explanation:
Area = 3/35 x 1/3
= 1/35 sq. ft.
Hope it helps.
;)
Answer:
21
Step-by-step explanation:
The question is based in pigeonhole principle that says If n or more pigeons are distributed among k >0 pigeonholes,then at least one pigeonhole contains at least
pigeons.
8 + 6 + 9−3 + 1 = 21