Answer:
286.7 m
Explanation:
So we are assuming the PE of the falcon is converted to KE
KE = PE
1/2 (.480)(75)^2 = .480 (9.81)(h ) solve for h = 286.7 m
Time = (distance) / (speed)
Time = (4.12x10^16 m) / (3 x10^8 m/s)
Time = 1.37 x 10^8 seconds
Divide the seconds by 86,400 to get days. Then divide the days by 365 to get years.
Time = about 4.35 years
A lunar eclipse<span> occurs when the Moon enters the Earth's shadow. A </span>solar eclipse<span>occurs when the Moon's shadow falls on the Earth. They do not happen </span>every month<span>because the Earth's orbit around the sun is not in the same plane as the Moon's orbit around the Earth.</span>
Answer:
Explanation:
Let x ft be used to make square and 2-x ft be used to make equilateral triangle.
each side of square = x/4
area of square = ( x /4 )²
Each side of triangle
= (2-x) /3
Area of triangle = 1/2 (2-x)²/9 sin 60
= √3 / 36 x (2-x)²
Total area
A = ( x /4 )² +√3 / 36 (2-x)²
For maximum area
dA/dx = 0
1/16( 2x ) -√3 / 36 x2(2-x) = 0
x / 8 - √3(2-x)/ 18 = 0
x / 8 - √3/9 + √3/18 x = 0
x ( 1/8 + √3/18 ) = √3/9
x(.125 +.096 ) = .192
x = .868 ft
