Answer: 5/6, 19/36, 11/24, 7/18
Step-by-step explanation:
Descending order is going from largest to smallest. We can do this by comparing the fractions. We make all the fractions have the same denominator. Then we will see which has the larger numerator.
A common denominator we can use is 72, since it is a common multiple.
Now that all the numbers have the same denominator, we compare to see which number is largest to smallest.
With our descending order, let's put it back into the original fractions.
Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
_____
In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.
-9x + y = 17
9x + 9y = 19
------------------add
10y = 36
y = 36/10 = 18/5 <==
The center of the circle is the point (-4, 6).
The circle's radius is 5.
