Answer: 35.328 cubic inches.
Step-by-step explanation:
Volume of square pyramid =
, where a = length of base , h = height
Given: For a square pyramid
a= 4.8 cm and h = 4.6
Then, Volume = 

Hence, the volume of a pyramid with a square base = 35.328 cubic inches.
Answer:
1.5 x t = 7.5
Step-by-step explanation:
t = 5
5 x 1.5 = 7.5
I'm gonna do this 2 ways because I'm not sure what you mean about the line. I'm going to indicate greater than or equal to with >=.
1st I'll solve for
r/15 >= -3
multiply by 15 on each side
r >= -45
Next I'll solve for
r/15 >= 3
multiply 15 on each side
r >= 45
So depending on if that is a 3 or -3 that is how you would do it....
So did I read the problem right?
This is an Arithmetic Progression with 1st term 11 and common difference d=6
Number of Rows Number of seats Common difference " d"
----------------------- ----------------------- -------------------------------------
1st a₁ = 11
2nd a₁+d =17 d =2nd - 1st = 6
3rd a₁ +2d = 23 d =3rd - 2nd = 6
4th a₁ +3d = 29 d= 4th - 3rd = 6
-------------------------------------------------------------------------------
nth ROW a(n) = a₁ + (n-1)d
18th ROW a₁₈ = 11 + (18-1).6 = 11+(17)(6) = 113
General equation to predict the number of seat an the nth row:
Number of seats in nth row = a₁ + (n-1).d
Answer:
2×sqrt(2) = 2.828427125...
Step-by-step explanation:
x = "a positive number"
x + 56/x = x³
x² + 56 = x⁴
x⁴ - x² - 56 = 0
(x² + 7)(x² - 8) = 0
this is true only for
x² = -7
or
x² = 8
x² = -7 would mean that x is an imaginary number. so, that is not a valid solution here.
x² = 8 means
x = sqrt(8) = sqrt(4×2) = 2×sqrt(2) = 2.828427125...