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:
1. Binomial
2. Binomial
3.Polynomial
4. Constant
5.Trinomial
6. Trinomial
 
Monomial- consists of one term
Binomial- consists of two terms separated by a plus or minus sign
Trinomial- consists of three terms separated by a plus or minus sign
Polynomial- consists of 4+ terms separated by a plus or minus sign
Constant- a number such as 130
 
        
             
        
        
        
C. 10r-3
Because 2r+5=7, the minus 6 and 7 which gives you 1 then minus 4 and 1 witch is 3 then you do 10r-3 and it will get you to 2r+5=7 again. I hope this helped!
        
             
        
        
        
I believe it is proposition 
        
             
        
        
        
Answer: 0.84134
Step-by-step explanation:
We need to find the z-score for the given information first since this will help us find the probability. The formula for this is
Z score = 
We have
 66 inches (the raw score)
 66 inches (the raw score)
 70 inches (the population mean)
 70 inches (the population mean)
 = 4 inches (the standard deviation)
 = 4 inches (the standard deviation)
This gives
Z score =  =
 = 
If you use a calculator, or a Z-score table then P(x > Z) is just P(Z > -1) which gives a probability of 0.84134.