Answer:
d. 27 cubic feet
Step-by-step explanation:
volume of cube = s^3 = B * s
volume of pyramid = (1/3) * B * h
The volume of a pyramid is 1/3 of the area of the base multiplied by the height. The volume of a cube is the area of the base multiplied by the height. Since the volume of a pyramid has the fraction 1/3 and the volume of the cube does not, then the volume of a cube is 3 times greater than the volume of a pyramid that fits inside and has the same base area.
volume of pyramid = 9 cu ft
volume of cube = 3 * 9 cu ft = 27 cu ft
Answer: d. 27 cubic feet
You can not see the problem
Answer:
-9/8
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
using (1,1) and (10,9)
m = (9 - 1)/(10 - 1)
m = (8)/(9)
m = 8/9
slope of line g is 8/9
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of h is -9/8
Here I have included 3 methods: Differentiating, Integrating and factorize
Differentiating:
Integrating:
Factorise:
Answer:
Sydney is 52 years old, and Tristan is 30.
Step-by-step explanation:
Represent Tristan's age by t and Sydney's by s.
Then s - 8 = 2(t - 8), and t = s - 22
Substituting s - 22 in the first equation, we get:
s - 8 = 2(s - 22 - 8), or
s - 8 = 2s - 60
Solving for s: -2s + s = -60 + 8, or -s = -52.
Sydney is 52 years old, and Tristan is 30.
