What is the image of (9,-2)after a reflection over the line y=x?
1 answer:
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Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
Answer:
A.
B. b > 11
C.
D.
Step-by-step explanation:
<u>Given the following algebraic expression;</u>
A.
We would simplify the equation by multiplying all through by 4;
Divide both sides by -3;
B. 5b - 28 > 27
Rearranging the equation, we have;
5b > 27 + 28
5b > 55
Divide both sides by 5
b > 11
C.
Divide both sides by 13
D.
Collecting like terms, we have;
Divide both sides by -1