60
1 answer:
You might be interested in
Answer:
Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.
Step-by-step explanation:
Answer: (1) ; (2) 340 miles. See details below.
Explanation:
The key here is to know that given the speed and time traveled you can determine the (distance traveled) as (speed) x (time).
They want us to keep the time traveled for the first part of the journey as a variable, so let us do that. The speed during the first part is 65mph, so the distance for the first part is
Knowin that the total ride was 6 hours, the distance in the second part (with speed of 40 mph) is as follows:
So the total distance in terms of t is:
(this is the answer to the first question). Note that t can range form 0 to 6 hours but outside of this range the expression is not applicable.
If we know t=4 hours:
The answer to the second question is 340 miles.
Given:
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
Corresponding sides of similar triangles are proportional, so
Using this, we get
On substituting the values, we get
On cross multiplication, we get
Therefore, the missing length is 56 units.