76 is the mean for this problem
Answer:
units
Step-by-step explanation:
Given
Shape: Kite WXYZ
W (-3, 3), X (2, 3),
Y (4, -4), Z (-3, -2)
Required
Determine perimeter of the kite
First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

For WX:





For XY:






For YZ:






For ZW:







The Perimeter (P) is as follows:



units
The answer is <u>A. 98</u>.
Because when you subtract 115 - 45 it equals 70 then you add 70 + 69 which equals 139 then you subtract 237 - 139 it equals <u>98</u> which is your answer!
<h2> Hope this helps!</h2>
Answer: 15
Step-by-step explanation:
We know that sin 75 degrees = 0.90659...
Now, to find cos: cos-1 (0.90659) = 15
So the answer is 15.
Answer: 
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Explanation:
The given differential equation (DE) is

Which is the same as

This 2nd DE is in the form
where

As the instructions state, we'll use the substitution 
We specifically use 
-----------------
After making the substitution, we'll end up with this form

Plugging in the items mentioned, we get:

We can see that we have a new P(x) and Q(x)

-------------------
To solve the linear DE
, we'll need the integrating factor which I'll call m


We will multiply both sides of the linear DE by this m(x) integrating factor to help with further integration down the road.

It might help to think of the product rule being done in reverse.
Now we can integrate both sides to solve for u


Unfortunately, this isn't the last step. We still need to find y.
Recall that we found 
So,

We're told that y(1) = 1. This means plugging x = 1 leads to the output y = 1. So the RHS of the last equation should lead to 1. We'll plug x = 1 into that RHS, set the result equal to 1 and solve for C

So,

We go with the positive version of the root because y(1) is positive, which must mean y(x) is positive for all x in the domain.