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.
(x + 7) (x - 4)
First, apply the FOIL method (a + b) (c + d) = ac + ad + bc + bd / Your problem should look like:
- 4x + 7x - 28
Second, gather the like terms. / Your problem should look like:
+ (-4x + 7x) - 28
Third, simplify. / Your problem should look like:
+ 3x - 28
Answer:
+ 3x - 28
Answer: 10 units
Step-by-step explanation:
If the trail starts at R(-2, 4) and goes towards S(3, 4), the distance between the two points would be the sum of the absolute value of the x values. That means it's 2 + 3, which is 5. The distance between the 2 points is five. Doing the same thing with S(3, 4), and T(3, -1) but with the y values, you get 5. adding the 2 distances up you get:
5 + 5 = 10
Answer:
volume of a pyramid is base area x height
base is a square
Area of a square is L²
L²=5²
L²=25cm²
Height is 5cm
vol of a pyramid =25cm²x5cm
=75cm³.
