I believe the answer is $417.91
Answer:
V=160
Step-by-step explanation:
I will do the work so you can have something to show your teacher:
V=(1/2)(4)(8)(10)
V=(2)(8)(10)
V=160
The first step in solving a problem is illustrating it just as what the picture shows. The ladder represents the hypotenuse, or the longest side of the right triangle. It measures 14 feet. The base measures 6 feet. The height of the top of the ladder from the base of the wall is denoted as x. Since this is a right triangle, the special equations for Pythagorean theorems would apply. The equation is
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet
p = plane's speed in calm air
w = wind's speed
p + w = speed across the ground of the plane flying with the wind
p - w = speed across the ground of the plane flying against the wind
d = rt is the standard distance equation, where d=distance, r=rate, t=time
d = 800 miles is given
800 = 4(p+w) :: given that it takes 4 hrs with the wind to travel 800 miles
800 = 5(p-w) :: given that it takes 5 hrs against the wind to travel 800 miles
so we have
4(p+w) = 800
5(p-w) = 800
4p + 4w = 800
5p - 5w = 800
multiply the first equation by 5 and the second by 4
20p + 20w = 4000
20p - 20w = 3200
add them
40p = 7200
p = 180
substituting for p = 180, we can find w
4p + 4w = 800
divide by 4
p + w = 200
180 + w = 200
So,
w = 20
checking our work.
4(180+20) = 800??
4(200) = 800
Yes
5(180-20) = 800??
5(160) = 800
Yes.
Answer:
The Plane flies at 180 mph in calm air.
The Wind is blowing at 20 mph.
Hope This Helps! Merry Xmas:)