Answer:
The answer is below
Step-by-step explanation:
Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:
Number of times = volume of cube / volume of pyramid
The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in
Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = 125 in³ / 65.1 in³ = 1.92
Answer:
Step-by-step explanation:
12a)To rationalize the denominator, multiply the denominator and numerator by √5.
b) (a+b)² = a² + 2ab + b²
(1 +√3)² = 1² + 2*1*√3 + (√3)²
= 1 + 2√3 + 3
= 4 + 2√3
a = 4 ; b =2
13) (a + b)(a - b) = a² - b²
Answer:
slope of a line is given by -A/B
Here A=5 and B= -3
so , when we plug in the values: -(5/-3) = 5/3
five thirds lol.
Answer:
x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)
Step-by-step explanation:
31 - X + (2x+1) = x - 1
or, 2x+1 = x - 1 - 31 + X
or, 2x - x = -1 -31 + X -1
or, x = -2 -31 + X
or, x = X - 33
9.) 1 / [3]
When you set the denominators of 2 / 5 and 1 / 3, equal to each other, you receive a denominator of 15, the only denominator the two have in common
