Answer:
length of one leg of the triangle is 64 cm.
Step-by-step explanation:
Given : The hypotenuse of a 45°-45°-90° triangle measures 128 cm.
To find : What is the length of one leg of the triangle.
Solution : We have given that hypotenuse of a 45°-45°-90° triangle measures 128 cm.
By the 45°-45°-90° triangle rule ,
Perpendicular sides (legs) are equal .
Hypotenuse = √2 × either perpendicular side ( leg ).
128 = √2 × leg .
We can write 128 as 64 √2 and substitute in above
64√2 = √2 leg.
On dividing by √2 both sides and switching sides.
leg = 64 cm .
Therefore, length of one leg of the triangle is 64 cm.
1 yard ≈ 0.9144 m
Therefore,
10 yards = 10*0.9144 m = 9.144 m
13 yards = 13*0.9144 m = 11.8872 m
Area to be covered = 9.144*11.8872 = 108.697 m^2
Therefore, Samantha will require approximately 109 m^2 of carpet.
Answer:
Step-by-step explanation:
Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.
The probability to select red marble is 
Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.
The probability to select red marble is 
Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.
The probability to select red marble is 
The probability to choose each urn is the same and is equal to 
Thus, the probability that the marble is red is
Answer:
false
Step-by-step explanation:
11.05 is approximately 11
11.5 is approximately 12
so there a different, 11.5 is bigger
