Answer:
Step-by-step explanation:
(A).Two corresponding sides of the given figures will be,
AB and DE
BC and EF
Similarly one pair of corresponding points will be,
A and D.
(B). Since large figure has been scaled to the smaller image,
Scale factor =
=
=
= 0.25
Therefore, scale factor will be 0.25.
Answer:
2000 players will complete the game with a perfect score.
Step-by-step explanation:
The testing phase tells us that is the probability that a person will finish with a perfect score.
This means 1 out of 500 people will be able to finish with perfect score.
Now,
the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be the of 1 million!
We do the calculation shown below:
So, 2000 players will complete the game with a perfect score.
Answer:
808
Step-by-step explanation:
The volume of the initial cylindrical metal must be equal to the total volume of the cubes.
Let the number of cubes made be x. Therefore:
where volume of the cylinder
volume of each cube
Each of the cubes have sides of length 3 cm.
The volume of a cube is given as:
where L = length of side of cube
Therefore, the volume of each cube is:
The volume of a cylinder is given as:
where r = radius
h = height of the cylinder
The volume of the cylinder is:
Therefore:
21823.55 = 27 * x
=> x = 21823.55 / 27
x = 808.27
Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.