Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
The answer would be approximately 1.98
Answer:
2 < x <_ 3.5
Step-by-step explanation:
First, find the value of x by writing it as an equation. Then, use 0 as x to determine the correct inequality.
Use the 30-60-90 triangle.
Tan is opposite over adjacent.

Square roots cannot be on the bottom.

The bottom cancel out the square root bar.
Your answer is:

(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)
Hope this helps!
:)