Answer: 1.5
Step-by-step explanation:
From the attached graph:
D = (0, 4)
F = (3, 2)
After segment DF was dilated from the origin to create segment D'F'
D' = (0, 6)
F' = (4.5, 3)
Scale factor is obtained by calculating the proportion of the coordinates of the two segments. That is ;
Scale factor = value on dilated coordinate / value on original coordinate
Taking the x-coordinate of F and F':
Scale factor = coordinate 'x' of F' / coordinate 'x' of F
Scale factor = 4.5 / 3 = 1.5
Similarly,
Taking the y-coordinate of F and F':
Scale factor = coordinate 'y' of F' / coordinate 'y' of F
Scale factor = 3 / 2 = 1.5
Answer:
Step-by-step explanation:
Given that,
Length = 
Width = 
Depth = 9 yards
We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :
So, the volume of the swimming pool is equal to 
.
Answer:
The length of legs lm, mn, and lk is 32 while that of kn is 36.
Step-by-step explanation:
The diagram is attached in the answer.
As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk
This leads the two set of legs such as
Or this could be written as
Now the remaining two sides are given as
as this form an isosceles triangle so
Similarly
Or
Now the perimeter is given as
Here perimeter is given as 132 so this gives:
So the four legs are of length as given below:
So the length of legs lm, mn, and lk is 32 while that of kn is 36.
Answer: D
Step-by-step explanation: yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of
1/4.
I would set up a ratio problem
23 minutes/6 people = x/9 ppl
cross multiply
207 = 6x
x = 34.5 minutes
