Point E on the diagonal of the rectangle ABCD, AE:EC=3:1, and AB:BC=5:4. Find the ratio of DE to BE
1 answer:
Answer:
3.88 : 3.25 ≈ 13 : 11
Step-by-step explanation:
I don't know what are you in, geometry or algebra? I'll post my way of solution. It may need some calculator calculation that I can't give detail of steps here. I just like to explore something, wish it help.
suppose D is the origin, DA = 4 and AB = 5
A (0,4) B(5,4) C(5,0) D(0,0)
AE/AC = 3/4 (i.e. AE/EC = 3/1)
parallel of EF with DC and EG with BC
CF/BC = CE/AC = 1/4
CF = BC x 1/4 = 4 x 1/4 = 1
DG/DC = AE/AC = 3/4
DG = DC x 1/4 = 5 x 3/4 = 15/4
coordinator of E (3.75 , 1)
length of DE = √3.75² + 1² = 3.88
length of BE = √1.25² + 3² = 3.25
DE : BE = 3.88 : 3.25 ≈ 13: 11 (3.88/13 ≈ 0.29, 3.25/11 ≈ 0.29)
You might be interested in
Answer:
They traveling at in backward direction.
Step-by-step explanation:
Given mass of Ammy
and velocity is forward at
Also, mass of Jenny
Who is travelling in opposite direction
Let velocity in forward direction is positive and velocity in backward direction is negative.
Also, velocity after crash is
As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.
Conservation of momentum says momentum before collision should equal to momentum after collision.
So, velocity after collision ≅
is in opposite direction. That is the direction of Jenny.