1. The perimeter of the square is 32 units, means each side is 32/4=8 units.
rotating the square about line k forms a cylinder with base radius equal to 8 units, and height equal to 8 units. (check the first picture)
the circumference of the base is C=2πR=16π units=16*3.14 units = 50.24 units.
Answer: <span>a cylinder with a circumference of about 50 units
2.
Rotating the equilateral triangle around line a, produces a cone with base radius equal to half of one side of the triangle, that is r=10mm.
(check picture 2)
The circumference is </span>C = 2πr=<span>C = 2*3.14*10=62.8 mm
Answer: </span><span>a cone with a base circumference of about 63 mm</span>
Answer:
x = 2 or x = 1 or x = -1
Step-by-step explanation:
Solve for x over the real numbers:
x^5 - 4 x^4 + 4 x^3 + 2 x^2 - 5 x + 2 = 0
The left hand side factors into a product with three terms:
(x - 2) (x - 1)^3 (x + 1) = 0
Split into three equations:
x - 2 = 0 or (x - 1)^3 = 0 or x + 1 = 0
Add 2 to both sides:
x = 2 or (x - 1)^3 = 0 or x + 1 = 0
Take cube roots of both sides:
x = 2 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 2 or x = 1 or x = -1
Answer:
length= 42
width = 7
Step-by-step explanation:
Answer:
5 sides.
Step-by-step explanation:
Unlike a triangle, which is 180°, also equal to a straight line, the length is equal to 540°.
Answer:

Step-by-step explanation:
