In this question all required information's are already provided. Based on these details the answer to the question can be easily determined. Let us now write down all the information's that are already given.
Mass of the roller coaster = 1000 kg
Velocity of the roller coaster = 20.0 m/s
We know the formula for finding the kinetic energy is
Kinetic energy = 0.5 * mass * (velocity) ^2
= 0.5 * 1000 * (20)^2
= 0.5 * 1000 * 400
= 200000 Joules
So the Kinetic energy of the roller coaster is 200000 joules.
Answer:
1. √74; 2. (24.5, 21.5)
Step-by-step explanation:
1. Distance
You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.
Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).
Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

2. Midpoint of line
The coordinates of the midpoint are half-way between the x- and y-coordinates of the end points.
For the x-coordinate, the half-way point is
(21 + 28)/2 = 49/2 = 24.5
For the y-coordinate, the half-way point is
(19 +24)/2 = 43/2 = 21.5
The coordinates of the midpoint M are (24.5, 21.5).
Answer:
111 spots
Step-by-step explanation:
Let y denote the total number of parking spots expressed as:

Given that x is the number of spots in the first row.
-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

Hence, there are 111 spots in the parking lot.
Answer: x>_3.2 OR x<_ -0.75
Step-by-step explanation: first break down your compound inequality. 5x-4>_12
You first cancel out your constants by adding 4 to both sides. Now you’re left with 5x>_16 then to cancel five you have to divide on both sides by five which equals to 3.2. Then, x>_ 3.2.
Next you do your second part, 12x+5<_-4
So first cancel out the constant of 5 by subtracting 5 on both sides, making the equation 12x<_-9. Now, you divide by 12 on both sides, making it -9/12. Which effectively is -0.75. Therefor, the answer being x<_ -0.75. Add the two together x>_3.2 OR x<_0.75
Uhh, here are a few that I remember off the top of my head:
- The 45-45-90 triangle is also isosceles, due to the two 45-degree angles it has. However, the 30-60-90 triangle is scalene.
- The 45-45-90 triangle is half of a square (to see this, stick two copies of it together at their hypotenuses), while the 30-60-90 triangle is half of an equilateral triangle (join two copies at their longer leg).