<span>Let x represent Harry's age now, and Nick's age now is 7x. [t]
In 6 years, Harry is x + 6 , and it is given that Nick's age will be 5(x+6). [t+6]
Combining [t] and [t+6], 7x + 6 = 5(x+6).
So the formula 7x + 6 = 5(x+6) represents the problem.
And x = 12 , so Harry's age in 6 years will be x +6 or 18 years .
I hope this helps!</span>
Answer:
- 7/8
Step-by-step explanation:
m = Δy/Δx = (10-3)/(2-10) = - 7/8
Answer:
18°
Step-by-step explanation:
The law of cosines tells you ...
a² = b² + c² -2bc·cos(A)
Solve for cos(A) and fill in the numbers. Note that the value of cos(A) is very close to 1, so the angle will be fairly small. This by itself can steer you to the correct answer.
cos(A) = (b² +c² -a²)/(2bc) = (49 +100 -16)/(2·7·10) = 133/140
A = arccos(133/140) ≈ 18.2° ≈ 18°
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.
4(610-15)+0.4
first you have to distribute the 4 to what is inside the paranthesis
(4×610)-(4×15)+0.4
2440-60+0.4=2380.4
