Answer:
x = 256
Step-by-step explanation:
Remark
Interesting question. Thanks for posting.
The small triangle has the height as the missing side.
Part One: Givens
a = 144
b = height = ?
c = 240
a^2 + b^2 = c^2
144^2 + b^2 = 240^2
20736 + b^2 = 57600 Subtract 20736 from both sides
b^2 = 57600 - 20736
b^2 = 36864
√b^2 = √36864
b = 192
Solve for x
The relationship between the height (b) and 144 and x is
b^2 = 144 * x
36864 = 144x Divide by 144
x = 256
V=BH
The base is 25 square feet because 5*5=25. The height is x feet. The volume is 62.5 cube feet.
62.5=25*x
2.5=x
X should equal 2.5 feet.
f(x) = -4x + 1
g(x) = 2x - 3
Set each other equal and solve for x.
-4x + 1 = 2x - 3
-6x = -4
x = 2/3
substitute x into either f or g and solve for y
-4(2/3) + 1
y = -1.667...
Intersect at
(.667,-1.667)
The difference between your speed is 6 miles per hour: that means that every hour you move 6 miles relative to your friend. But you only need to catch up 3 miles: half of it. So you'll catch up after 30 minutes.
The initial velocity is 19 ft/s.
This is in the form f(t) = -16t²+v₀t+h₀, where v₀ is the initial velocity. 19 is in the place of v₀, so it is the initial velocity.