4/1=12/3,so 12 cups= quarts
1 answer:
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Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem
Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
<span>Let's solve this problem step by step.</span><span>
In Figure 1 you have the graph of this equation.
In fact, it is an egg curve as you can see, the question is asking for shifting
the curve vertically and horizontally, so what you need to do is the following:
First. Shifting
the curve horizontally (to the left).<span>
</span>Suppose you want to get the curve when the
center of the egg matches with the origin of the Cartesian plane, so you need
to shift the curve to the left. To do this add 40 units to the x-coordinate,
so:
<span>
</span>
<span>
</span>This shift is shown in Figure 2
Second. Shifting
the curve horizontally (to the right).<span>
</span>Suppose you want to shift the curve 40 units to
the right, then you need to subtract 40 units from the x-coordinate like
this:
<span>
</span>
<span>
</span>This shift is shown in Figure 3
Third. Shifting the
curve vertically (upward)<span>
</span>Suppose you want to shift the curve 40 units
upward, then you need to subtract 40 units from the y-coordinate like
this:
<span>
</span>
<span>
</span>This shift is shown in Figure 4
Fourth. Shifting the
curve vertically (downward)<span>
</span>Suppose you want to shift the curve 40 units
downward, then you need to add 40 units to the y-coordinate like this:
<span>
</span>
<span>
</span>This shift is shown in Figure 5</span>
