A photograph negative measures 1 7/8 inches by 2 1/2 inches. The printed pictures is to have its longer dimension be 4 inches. H
1 answer:
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First of all, let's recall the area of a triangle, knowing its base (b) and height (h):
The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is
There are three of these triangles, so the area of the whole polygon is
In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is
Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is
Answer: The correct option is (A) Angle W is greater than angle Y.
Step-by-step explanation: Given that the measures of the three sides of a triangle XYZ are as follows:
XY = 10 units,
WY = 14 units,
WX = 5 units.
We are to select the correct statements regarding the angles of ΔXYZ.
Writing the lengths of the sides in ascending order, we have
Since the angle opposite to a smaller side of a triangle is smaller, so from inequality (i), we get
Option (A) is "Angle W is greater than angle Y".
This option is correct, because we have ∠W > ∠Y.
Option (B) is "Angle Y is the largest angle".
This is incorrect because ∠X is the largest angle.
Option (C) is "Angle X is smaller than angle W"
This is incorrect because ∠X is the largest.
Option (D) is "Angle W is the smallest angle".
This is incorrect because ∠Y is the smallest.
Thus, (A) is the correct option.