#1 What is the volume of a pyramid with base area B = 6 ft2 and height h = 13 ft? A. 26 ft3 B. 39 ft3 C. 52 ft3 D. 78 ft3
#2 The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid? A. 144 in3 B. 36 in3 C. 72 in3 D. 108 in3
Answer:
1). Option A is correct.
2). option A is correct.
Step-by-step explanation:
1).
Given : Area of Base = 6 ft.² and height, h = 13 ft.
Volume of pyramid =
=
= 2 × 13 = 26 ft.³
Therefore, Option A is correct.
2).
Side of square of base = 6 inches.
Height of pyramid = 12 inches
Base Area = Area of Square
= side × side = 6 × 6 = 36 inches²
Volume of pyramid =
=
= 36 × 4 = 144 inches³
Therefore, Option A is correct.
Answer: 5 feet
Step-by-step explanation:
Given: The total length of the rope = 35 feet
Let the length of the shorter section be x, then the longer section would be 6x.
According to the question, we have
Also,
Hence, the length of the shorter section = 5 feet
y = 2
In this question, you're using synthetic division to solve the problem.
Use synthetic division:
___________
-3 | 1 2 -2 3
First. you have to drop the 1, and then solve:
___________
-3 | 1 2 -2 3
↓
1
___________
-3 | 1 2 -2 3
-3
1
___________
-3 | 1 2 -2 3
-3
1 -1
___________
-3 | 1 2 -2 3
-3 3
1 -1
___________
-3 | 1 2 -2 3
-3 3
1 -1 1
___________
-3 | 1 2 -2 3
-3 3 -3
1 -1 1
___________
-3 | 1 2 -2 3
-3 3 -3
1 -1 1 0
x² x c r
When you're done solving, turn it into polynomial form:
x² - x + 1
Answer:
x² - x + 1