Answer: Pi,0.3,2/3,
Step-by-step explanation:
Answer:
1.6
Step-by-step explanation:
I used an arc length calculator
Ắner 3x+2y
Step-by-step explanation:
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:)
Answer:
B.
Step-by-step explanation:
The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.
∴ is the additional fact needed to prove
Hope this helps :)