There are no reasonable conclusions on your list of statements,
because, as far as we know, you have no list. The only things
we know that you have are a leaky faucet and an empty bucket.
The width of the new card is 9 inches.
<u>SOLUTION:
</u>
Given, we have to solve using equivalent ratios. Wayne has a recipe on a 3-inch-by-5-inch index card that he wants to enlarge to 15 inches long.
We have to find width of the enlargement
Now, dimensions of card is 
Let the new width of card be n inches
.
So, New dimensions of card is 
Then, equivalent ratio is 

Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
__
The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
The range of a function is all possible y values that a function can take on.
In the case of the given function, the y values fluctuate between -1 and 1. Therefore, the range of the function is -1 <= y <= 1 (Option A).
Hope this helps!
Remember that the formula for the perimeter of a rectangle is:

is the width of the rectangle
is the length of the rectangle
Thus, in this case, you can see that we are adding two of the same monomials and two of another monomial. One monomial is
and another monomial is
. In this case, these monomials would fulfill the perimeter equation of a rectangle.
Applying this perimeter structure, we can find that this expression represents a perimeter equation of a rectangle with sides x + 15 and x + 5.