1 mile = 5,280 feet
so 35 miles are 35*5,280=184,800 feet.
The speed of the mourning dove is :
Answer:
As per the problem
The escalator make a 30° angle with the floor .
The escalator have a vertical height of 36 feet.
Now draw the diagram with the given information, the diagram is attached below
From the diagram,
Horizontal length=AB=d
Distance traveled by the person on the escalator stairs=AC=l
In triangle ABC,
Again in triangle ABC, Using Pythagoras Theorem
The horizontal length needed is
The distance a person would travel on the escalator stairs is 72 ft
Answer:
B. Function.
Step-by-step explanation:
We have been given a set. We are asked to choose the correct option about the given set.
We know that a set represents a relation, when each x value corresponds to a y-value. In a relation one x-coordinate can have more than one y-values.
We know that a set represents a function, where each x-value corresponds to exactly one y-value.
Two different value can have same y-value to be a function.
We can see that each value of x corresponds to exactly one y-value. The value of y is 2 for all value of x, therefore, all points lie on a horizontal line .
Therefore, our given set a function.
The perimeter for this case is given by:
Substituting values we have:
The area is given by:
Writing the area based on a variable we have:
We derive the area to obtain the maximum of the function:
We equal zero and clear x:
Then, the other dimension is given by:
Finally the maximum area is:
Answer:
The length and width of the plot that will maximize the area are:
The largest area that can be enclosed is:
<h3>Answer:</h3>
room 3 or 4
<h3>Explanation:</h3>
We assume the inequalities tell the rooms that were checked and found empty.
The solution to 3) is ...
... 2x + 3 > 11
... 2x > 8 . . . . . subtract 3
... x > 4 . . . . . . .divide by 2
The solution to 4) is ...
... -3x > -9
... x < 3 . . . . . . divide by -3
Thus, rooms greater than 4 and less than 3 were found empty. Rooms 3 and 4 were not checked, so either one could hold Nessie.
_____
The other inequalities have solutions that are already covered by the solutions to these.
1) x < -1 . . . . after subtacting 4
2) x > 5 . . . . after multiplying by 5