Check the picture below.
running a perpendicular line like so from the right-angle, makes three similar triangles, the large, containing the smaller ones, and a medium and a small one. Now, using proportions, you can just use there, the medium and smalle to get "x".
Answer:
Mean: 29.5; Median: 26; Modes: 25, 26
Step-by-step explanation:
Add 10+12+25+25+26+26+30+31+33+34+47+55 = 354
Then divide it by 12 354/12 = 29.5
Mode are numbers that appear most often which in this case are 2 numbers, 25 and 26.
The answer is plus 4 because a positive plus a negative is a negative
Associative property of addition represents this equation:
a + b = b + a
So, how would it be helpful with this given equation?
=> 48 + 82
=> Let's start with the ones place value.
(2 + 8) = 10, bring down 0, carry 1 then ( 4 + 8) = 12 + 1 = 13
So the answer is 130.
If we are going to do it vice versa, still expect that the same answer will occur.
Answer:
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
||Vel_jet_r|| = 465.993 mph
Step-by-step explanation:
We need to decompose the velocity of the wind into a component that can be added (or subtracted from the velocity of the jet)
The velocity of the jet
500 mph North
Velocity of the wind
50 mph SouthEast = 50 cos(45) East + 50 sin (45) South
South = - North
Vel_ wind = 50 cos(45) mph East - 50 sin (45) mph North
Vel _wind = 35.35 mph East - 35.35 mph North
This means that the resulting velocity of the jet is equal to
Vel_jet_r = (500 mph - 35.35 mph) North + 35.35 mph East
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
An the jet has a magnitude velocity of
||Vel_jet_r|| = sqrt ((464.645 mph)^2 + (35.35 mph)^2)
||Vel_jet_r|| = 465.993 mph
