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.
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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.
150 - 8d = 175 - 10d
-8d + 10d = 175 - 150
2d = 25
d = 25/2
d = 12.5...so each dvd costs 12.50
150 - 8(12.5) = 150 - 100 = 50
175 - 10(12.5) = 175 - 125 = 50
so they will each have 50 bucks left on their card
First you make an equation and establish a variable.
x=amount of hours the DJs will charge the same amount
100+21x=150+15x
Now you solve for x and that will get you your answer.
100+21x=150+15x
-21x -21x
100=150-6x
-150 -150
-50=-6x
8.3333...=x
You can round the answer to $8.33
Hope I helped.
Answer:
I believe that Kevin is 6 years old now.
Step-by-step explanation:
I used the guess and check method to figure this out.
First, I began by making Daniel 1 years old, two years ago. Kevin was 4 times as old as Daniel two years ago, so he would be 4 at the time. Now, Daniel would be 3 and Kevin would be 6 years old. The statement that Kevin is three years older than Daniel would confirm this, because 6-3=3. Hope this helps, this is my first time answering:)
