Given:
A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7).
Rule of rotation is .
To find:
The vertices after rotation.
Solution:
We know that, means 90 degrees counterclockwise rotation around the origin.
So, the rule of rotation is defined as
Using this rule, we get
Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).
Answer:
137 ft²
Step-by-step explanation:
The shop is rectangular in shape. The area of a rectangle is given by:
Area = length * width
Since the length of the shop = 20 ft and the width = 10 ft, therefore:
Area of the shop = length * width = 20 ft * 10 ft = 200 ft²
The part that would not be tiled is of triangular shape. The area of a triangle is given as:
Area = (1/2) * base * height
The base of the triangle = 18 ft, the height = 7 ft. Hence:
Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²
The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part
The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²
Answer:
see the procedure
Step-by-step explanation:
Remember that
To convert feet to inches multiply by 12
To convert minutes to seconds multiply by 60
we have