Answer:x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:


So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:


Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
If youre looking for probability i think it would be 2:1 <span />
Roll the dice 120 times
Number of outcomes from rolling the dice = 6
Probability of 4 falling in 1 roll = 1/6
Probability of the number of 4s in 120 rolls = 120 * 1/6
= 20 times
The probability that 4s falls in 120 dice rolls is 20 times.