Three ballet dancers are positioned on stage. Elizabeth is straight behind Hannah and directly left of Manuel. If Hannah and Eli
zabeth are 3 meters apart, and Manuel and Hannah are 5 meters apart, what is the distance between Elizabeth and Manuel?
1 answer:
Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters
You might be interested in
Answer:
Step-by-step explanation:
OPQ is a right angle triangle.
<u>Using Pythagoras</u>
<u>Using quadratic formula</u>
<u />
OR
(Length can't be negative)
∴
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
