Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If
2 answers:
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Answer:
Diameter of pound = 10 yd
Step-by-step explanation:
Given area of circular pond = 78.5 square yd
To find the diameter of the pond.
Solution:
The pond being circular in shape, the area of pond can be given as:
⇒
where represents radius of the pond.
Thus, we have:
⇒
Using
⇒
Solving for
Dividing both sides by 3.14
⇒
⇒
Taking square root both sides.
⇒
⇒
So, radius = 5 yd, as distances are always positive.
Diameter =
Thus, diameter of pound = 10 yd
a, b, c - side lengths (a ≤ b ≤ c)
If , then is Obtuse triangle.
If , then is Right triangle.
If , then Acute triangle.
Check to see if the sum of the first two sides is greater than the third.
, therefore is Scalene triangle.
It's Obtuse triangle.
Answer:
The sequence of transformations involved is a reflection across the x axis, followed by a reflection across the y = x line
Step-by-step explanation:
The polygon ABCD is shown in the image attached. The coordinates of the polygon are A(-6, 6), B(-4, 6), C(-4, 4), D(-6, 2), while the polygon A'B'C'D' is at A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)
A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.
If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y).
If a point O(x, y) is reflected across the y = x line, the new coordinate is O'(y, x)
Hence if polygon ABCD is reflected across the x axis, the new coordinates are A*(-6, -6), B*(-4, -6), C*(-4, -4), D*(-6, -2). If a reflection across the y = x line, the new coordinates are A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)
