Answer:
(-5, - 4) ;
(4, - 5) ;
(5, 4)
(-4, 5)
Explanation:
Given : (x, y)
90° counterclockwise rotation = (-y, x)
180° clockwise rotation = (-x, - y)
270° counterclockwise rotation = (y, - x)
270° clockwise rotation = (-y, x)
Using the translations started above :
Point(5, 4) rotated 180° clockwise - - - > (-5, - 4)
Point(-5, -4) rotated 90° counterclockwise - - - - - - - > (-(-4), - 5) - - - > (4, - 5)
Point(-4, 5) rotated 270° counterclockwise - - - > (5, - (-4)) - - - > (5, 4)
Point (5, 4,) rotated 270° clockwise - - - > (-4, 5)
There have been many cases where airbags have saved lives, but airbags have killed hundreds of children.
Answer:
mean average = 2542.5 mg
1330 mg
Explanation:
The patient's average daily intake of sodium for those 4 days can be calculated by taking the mean average of the sample amounts given over the number of the total days.
mean average = 2542.5 mg
Therefore the patient's average daily intake of sodium for those 4 days = 2542.5 mg
What is the patient’s average daily intake of sodium for those 4 days?
What would his 5th day sodium intake need to be to drop him below an average of 2300 mg
given that mean average = 2300; we can also determine the fifth day sodium intake as follows:
y = 1330 mg
Hence, his sodium intake for the fifth day will be 1330 in order to drop him below an average of 2300 mg
A River Oaks Pools is trying to calculate the perimeter of the pool so they will know how many bricks to buy for the deck of the pool. Each square on the grid represents a square that is 3ft x 3ft. What is the perimeter of the pool?
Solution:
On the first row and last row, there are 7 numbers of squares. And on the 2nd to 5th row, there are 11 number of squares.
In getting for the perimeter of the area, we'll have to divide the regions.
Dividing the regions, we'll get three figures/planes :
2 rectangles with Length = 3ft x 4 number of squares and Width = 3ft x 2 number of squares
Thus, for the 2 rectangles,
Perimeter = 2(2L+2W) (times two since there are 2 rectangles)
Perimeter = 2(2(12)+2(6))
Perimeter = 72 ft
Another figure was formed is a square with a 21ft x 21ft
Perimeter = 4(21ft)
Perimeter = 84 ft
Add the two equivalent perimeters:
Total Perimeter = 72+84
Total Perimeter = 156 ft