Answer: 12.001 ft is the radius
Step-by-step explanation:
Volume of sphere is calculated by following formula:
V = 4/3 pi r³
Putting values
7234.56 = 4/3 × 3.14 ×r³
Simplifying
7234.56 = 4.186 ×r³
Rearranging the equation
r³ = 7234.56/4.186
r³ = 1728.28
Taking cube root on both sides
r = 12.001
Answer:
Step-by-step explanation:
Gracias por los puntos
The ratio for questions number 2 is C aka 3 to 5
Answer:
x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
Step-by-step explanation:
Solve for x:
x - 1 - 2/x = 3 x + 2
Bring x - 1 - 2/x together using the common denominator x:
(x^2 - x - 2)/x = 3 x + 2
Multiply both sides by x:
x^2 - x - 2 = x (3 x + 2)
Expand out terms of the right hand side:
x^2 - x - 2 = 3 x^2 + 2 x
Subtract 3 x^2 + 2 x from both sides:
-2 x^2 - 3 x - 2 = 0
Divide both sides by -2:
x^2 + (3 x)/2 + 1 = 0
Subtract 1 from both sides:
x^2 + (3 x)/2 = -1
Add 9/16 to both sides:
x^2 + (3 x)/2 + 9/16 = -7/16
Write the left hand side as a square:
(x + 3/4)^2 = -7/16
Take the square root of both sides:
x + 3/4 = (i sqrt(7))/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
x = (i sqrt(7))/4 - 3/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
Answer: x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
Answer:
Explanation and problem 1 solved below.
Step-by-step explanation:
The quadrants are numbered this way:
Quadrant 1: upper right
Quadrant 2: upper left
Quadrant 3: lower left
Quadrant 4: lower right
Signs of coordinates in the quadrants:
x-coordinate is positive in Q1 and Q4
x-coordinate is negative in Q2 and Q3
y-coordinate is positive in Q1 and Q2
y-coordinate is negative in Q3 and Q4
1. (-1, 5)
x is negative, so it is Q2 or Q3
y is positive, so it is Q1 or Q2
The quadrant in common is Quadrant 2
Answer: quadrant 2
