Use the Pythagorean theorem (a^2 + b^2 = c^2)
7^2 + 24^2 = x^2
x^2 = 625
x = 25
703 rounded to the nearest hundred is 700
Answer:
18 miles
Step-by-step explanation:
<u>Let </u>
- The number of miles = x .
<u>According</u><u> to</u><u> Question</u><u> </u><u>,</u>
- 100 + 0.5(x) = 40 + 0.8(x)
- 100 + 0.5x = 40+ 0.8x
- 100 - 40 = 0.8x - 0.5x
- 60 = 0.3x
- x = 60/3 * 10
- x = 18
Assuming he gets 5% annually then the answer is 4 years
The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.
When potential energy is completely converted to kinetic energy you have:
(mv^2)/2=mgh divide both sides by the mass m
v^2/2=gh multiply both sides by 2
v^2=2gh take the square root of both sides
v=√(2gh) and working with imperial units for acceleration due to gravity, g=-32ft/s^2
v=√(-64h) but the change of h as it falls is negative h so
v=-√(64h) so if an object falls from a height of 88ft we have:
v=-√(64*84)
v=-√5376
v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)
Note that this is the velocity, it is negative 73.32 ft/sec.
The question inadvertently asked for velocity and provided answers for SPEED. Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.
So its final speed is 73.32 ft/sec
So if they actually wanted velocity none of their answers is correct :P