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Travis wrote a $53 check for a new pair of shoes. Then, he withdrew $40 from his bank account. What integer represents the chang
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To find the area of the triangle shown we have to find the length of a and the base.
a can be found using the sine function. Recall sin = (opp)/(hyp)
Here
The base can be found using the sin of 30 degrees as this is a 30-60-90 right triangle.
The area of the triangle in the picture is given by
.
The base of the pyramid is a hexagon which can be divided into 6 triangles each of which is double the area of the one we just found. So the area of the base = 2(area of the triangle we found)(6) =
a can be found using the sine function. Recall sin = (opp)/(hyp)
Here
The base can be found using the sin of 30 degrees as this is a 30-60-90 right triangle.
The area of the triangle in the picture is given by
The base of the pyramid is a hexagon which can be divided into 6 triangles each of which is double the area of the one we just found. So the area of the base = 2(area of the triangle we found)(6) =
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In order to find the vertex of a parabola, we use the following formula:
Remember, a parabola looks like so:
Now we know what a and b stand for.
In this case, b is -4, and a is -1:
Simplify:
Divide:
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