Answer:
128 m^3
Step-by-step explanation:
The volume of the rectangular prism base is (8 m)(8 m)(10 m), or 640 m^3.
The triangular 'cap' has a base area of 64 m^2 and a height of 6 m, and thus a volume of (1/3)(64 m^2)(6 m) = 128 m^3
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6
Answer:
1) Reflection in the x-axis
A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
A''' = (6, 0)
Step-by-step explanation:
The transformations are as follows;
1) Reflection in the x-axis
Here the x-coordinate is the same and the y-coordinate changes sign.
Therefore, we have;
A (-2, 3)
After reflection in the x-axis becomes A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)
Therefore, we have;
A' = (-2, -3) becomes A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
Translation of 3 units down and 4 units to the right = 
Which gives
A''' = (2 + 4, 3 - 3) = (6, 0).
Answer:
90 : 1
Step-by-step explanation:
1 yard = 36 inches
5 yards = 36×5 = 180 inches
180 : 2
90 : 1
(4/5) of total number of people = 20 people
total people=20*5/4
=5*5=25