Answer:
Step-by-step explanation:
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<span>A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b
10b = 30√2; b = 3√2
sin α = 3√2 / 6; α = 45 degrees
Small angle: 45°; Large angle: 135°</span><span>
</span>
A is the point (-4, 1)
i) reflection over the y-axis projects a point (a, b) to (-a, b):
(-4, 1) is projected to (4, 1),
ii) reflection over the x axis projects a point (a, b) to (a, -b):
(4, 1) is projected to (4, -1),
iii) rotation 180 degrees: projects (a, b) to (-a, -b):
so (4, -1) is projected to (-4, 1)
Answer: A'(-4, 1)
It is in the first quadrant
The decomposition of the parallelogram into triangle then into a rectangle is shown below
The measurement we need to calculate the area is the length and the width of the rectangle; 15 feet and 10 feet
Area = 15 × 10 = 150 feet²