The circumcenter of a right angled triangle is midpoint of the hypotenuse side.
Determine the midpoint of the hypotenuse.

For y coordinate,

So, circumcenter of triangle is,
The planes will pass each other in 1.14 hours.
Why?
To solve the problem, we must remember that since both planes are heading toward each other, the speed to the calculations will be their combined speeds.
The speed will be:

Now, calculating the time, we have:

Hence, the planes will pass each other in 1.14 hours.
Have a nice day!
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12
For the alternative hypothesis,
µ < 12
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 12 minutes
x = 8 minutes
σ = 12 minutes
n = 36
z = (8 - 12)/(12/√36) = - 4/2 = - 2
Test statistic = - 2
Answer:
D
Step-by-step explanation:
Answer:
This how you get x. First the way to find the answer is to first put 5x by itself by canceling it out and putting it on the other side of the = which will be
5x-(x-18)=
-5x -5
Which then gets you this
-(x-18)=-5x
After that its
x-18=-5x
once you have this subtract x
x-18=-5x
-x -x
-18=-6x
Then it leaves you the easy part of just dividing
-18/-6x=-6x/-6x
After dividing you get x to be 3
x=3
Once you have x=3 input that number into your equation and you get the answer.
Hope this helps