Answer:
4/5
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 216 and 270 is 54
Divide both the numerator and denominator by the GCD
216 ÷ 54
270 ÷ 54
Reduced fraction:
4
5
Answer:
Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.
Step-by-step explanation:
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft
distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
Answer:
Third option: x=0 and x=16
Step-by-step explanation:

Isolating √(2x+4): Addind √x both sides of the equation:

Squaring both sides of the equation:

Simplifying on the left side, and applying on the right side the formula:


Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

Squaring both sides of the equation:

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

Factoring: Common factor x:
x (x-16)=0
Two solutions:
1) x=0
2) x-16=0
Solving for x: Adding 16 both sides of the equation:
x-16+16=0+16
x=16
Let's prove the solutions in the orignal equation:
1) x=0:

x=0 is a solution
2) x=16

x=16 is a solution
Then the solutions are x=0 and x=16