Answer:
Step-by-step explanation:
Line segment divided into 5:3 ratio, so one segment is ⅝ of AB and one segment is ⅜ of AB.
Compare the coordinates of A and B.
change in x-coordinates = 10-2 = 8
change in y-coordinates = 2-(-6) = 8
⅝ of 8 = 5, so x-coordinate of C = (x-coordinate of A) + 5 = 7, and y-coordinate of C = (y-coordinate of A) + 5 = 1
Answer:
10.76 miles
Step-by-step explanation:
<em>The following figure can be drawn from the information given.</em>
<em>We have to find the adjacent side which is between the given angle and 90 degrees.</em>
<em>Tan formula will be applied</em>
Tan (anlge) = opposite/adjacent
Opposite = 12.6
Angle = 49.5°
Adjacent = x
Tan (49.5°) = 12.6/x
x = 10.76 miles
Therefore, the fire is 10.76 miles away from the tower Pikes Peak.
!!
Note: Consider "÷" sign instead of "=".
Given:
To find:
The quotient.
Solution:
We have,
It can be written as
Splitting the middle terms, we get
Taking out the common factor (x-1), we get
Cancel the common factors.
The quotient is .
Therefore, the correct option is D.