Answer:
The value of x is 11.
Step-by-step explanation:
The given number is 0.27272727..., and it is converted to the fraction as
..... (1)
Multiply both sides by 100.
.... (2)
Subtract equation (1) from equation (2),
Multiply both sides by x.
Divide both sides by 27.
Therefore the value of x is 11.
Answer:
36√3 + 144
Step-by-step explanation:
Given that,
base of the pyramid is an equilateral triangle with sides = 12
Formula to calculate total surface area of pyramid
<h3>
[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>
Base Area
1/2 (height) (base)
1/2 (√12²-6²)(12)
6(6√3)
36√3
perimeter of base
sum of all sides = 12 + 12+ 12
= 36
slant height = √10²-6²
= 8
put all these values in the formula above
36√3 + 1/2(36)(8)
36√3 + 144
Total area for the pyramid with the equilateral base =
36√3 + 144
Answer:
see explanation
Step-by-step explanation:
the translation (x, y) → (x - 4, y + 7)
means subtract 4 from the x-coordinate and add 7 to the y-coordinate of the original coordinate points
R(0, - 4 ) → R'(0 - 4, - 4 + 7 ) → R'(- 4, 3 )
S(- 2, - 1 ) → S'(- 2 - 4, - 1 + 7 ) → S'(- 6, 6 )
T(- 6, 1 ) → T'(- 6 - 4, 1 + 7 ) → T'(- 10, 8 )
The volume would also be the same since the volume of a cone is 1/3bh.
So the volume is six pi cubic inches.
