Answer:
6 cm
Step-by-step explanation:
wire was bent into the shape of a rectangle with width 5 and length 7. If this wire is bent into shape of a square, what is the length of a side of the square
Given that:
Rectangular wire with the following dimension :
Width = 5
Length = 7
To obtain the total length of the wire :
Perimeter of rectangle :
2 (length + Width)
2 (5 + 7)
2(12)
= 24 cm
The length of each side of the square will be :
Number of sides = 4
Length of each side :
24 / 4 = 6 cm
Answer:
A
Step-by-step explanation:
If two nonadjacent angles formed by two intersecting lines = Vertical angles= congruent
Then
Two non adjacent angles formed by two intersecting lines are congruent
Answer:
x^2+(y-1)^2=25
Step-by-step explanation:
eqn of circle : (x-h)^2+(y-k)^2=r^2
center of circle = (h,k)
hence, the center of the current circle is (2,3)
moving 2 units to the left would make the center (0,1)
the radius would remain the same (5) , hence the new eqn would be
(x-0)^2+(y-1)^2=25
x^2+(y-1)^2=25

<u> -76 and 95 is the lowest and highest grade average in the class, respectively.</u>
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16