For a better understanding of the solution provided please go through the diagram in the file attached.
Let ABCD be the rectangular yard. The diagonal d=17 meters. AD=8 meters. Therefore, the length of DC can be found by applying the Pythagorean theorem in the right triangle as:
meters.
<em><u>The intervals included in solution are:</u></em>
<em><u>Solution:</u></em>
Given that,
A boat tour guide expects his tour to travel at a rate of x mph on the first leg of the trip
On the return route, the boat travels against the current, decreasing the boat's rate by 10 mph
The group needs to travel an average of at least 24 mph
<em><u>Given inequality is:</u></em>
<em><u>We have to solve the inequality</u></em>
When we multiply or divide both sides by negative number, then we must flip the inequality sign
This is attached as figure below
From the attached table,
<em><u>Therefore, solution set is given as</u></em>:
Answer:
The value of x is hours.
Step-by-step explanation:
Machine A = 5 hours
Machine B = x hours
Machine A and B = 2 hours
Using the formula:
where:
T is the time spend by both machine
A is the time spend by machine A
B is the time spend by machine B
Let multiply the entire problem by the common denominator (5B)
2x + 10 = 5x
Collect the like terms
10 = 5x - 2x
10 = 3x
3x = 10
Divide both side by the coefficient of x (3)
hours.
Therefore, Machine B will fill the same lot in hours.