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
Answer:
34 degrees
Step-by-step explanation:
Angle K is similar to Angle R, and Angle R is 34 degrees. So Angle K is also 34 degrees.
Hope it helps!
Answer:
Male=21 Female=14
Step-by-step explanation:
So the problem would be (f)+(f+7)=35
first you would subtract 7 from 35
Now you have (f)+(f)=28 or 2f=28
Then you divide both sides by two
f=14
and since we know there is 7 more males then the answer is
m=21
Answer:

Step-by-step explanation:
The point is shaded which means its is equal to and since the arrow goes to the left it is less than. Therefore x is less than or equal to 2
Answer:
the square root of 197
Step-by-step explanation:
delta x=14
delta y=1
therefore with the Pythagorean theorem, the hypotenuse/distance is the square root of 197