Answer.....15ft by 12ft
Explanation:
Area = Length × Width
180 = LW....make W the subject of formula
;W = 180/L
Perimeter = 2L + 2W
54 = 2L + 2(180/L)...sub W with the formula above...
then simplify the equation and obtain...
2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..
;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...
where W = 180/15 = 12ft
there you have...Length = 15ft and Width = 12ft
Answer:
5 13/15 miles
Step-by-step explanation:
The question involves the concept & equations associated with projectile motion.
Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²
Of the possible equations of motion, the one we'll find useful is:
y₂ = y₁ + v₁t + 1/2gt²
We can just plug and chug to define the equation of motion:
<u><em>y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²</em></u>
<em>(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)</em>