Answer:
Step-by-step explanation:
The equation of the line in point-slope form is:
Where m is the slope and 
is a point of the line.
The slopes of two perpendicular lines are opposite reciprocal, then the other slope is:
m=
Substitute the slope and the given point into the equation, then you obtain:
If sinα=cosß it means that ß=90-α. This also means that α+ß=90 so we can say:
4k-22+6k-13=90
10k-35=90
10k=125
k=12.5°
...
The above identity comes up a lot, and is one worth committing to memory for sure.
sinα=cos(90-α) or vice versa cosα=sin(90-α)
Answer:
Step-by-step explanation:
I am assuming this problem reads 
- So let's start on the outside and work our way towards the middle
- Starting with the
, this can be simplified to 
Now we have 
- Now simplifying what is inside the parenthesis we get
- Combining what we have the simplified for of the problem becomes:
Answer:
Step-by-step explanation:
The Answer Is 7.5
Tangent and 8 makes a right triangle, which is great because you could find the diameter and divide it by 2 to find the radius.
64+d^2=289
d^2=225
d=15
15/2=7.5
