153.86m^2
Step-by-step explanation:
diameter=14
radius=14/2=7
area of circle=pi×r^2
"" =3.14×7^2
=3.14×7×7
=153.86m^2
S=6a²
a=8mm
S = 6 * 8² = 6 * 64 = 384 mm²
one hundred and forty four point one four four.
Answer: 2
Step-by-step explanation:
Vertical asymptotes can be solved by setting the denominator equal to zero.
x(x+1) = 0
Solve for 0 now by setting both x and x+1 equal to zero
x = 0
x + 1 = 0
x = -1
Because there are two factors in the denominator, the answer would be two.
The graph of that function has 2 vertical asymptotes (one at x=0 and the other at x=-1)
Answer: 289 ft.
Explanation:
You can form a right triangle with these features:
1) Base = adjacent-leg = 500 feet
2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)
3) Height = opposite-leg = height of the Statue of LIberty = x
Now, use the equation for the trigonometric ratio tangent:
tan(angle) = opposite-leg / adjacent-leg
=> tan (30°) = x / 500ft
=> x = 500ft * tan(30°)
x = 288.67 ft which rounded to the nearest foot is 289 ft.
