Answer: C
Step-by-step explanation:
The vertices coordinates following a reflection along the y-axis are S(-6,6), T(2,6), U(2,0), V(-6,0).
<h3>What is reflection?</h3>
A reflection point is created when a figure is constructed around a single point known as the point of reflection or the figure's centre. There is an exact opposite point on the other side of each point in the figure. Under the point of reflection, the figure's size and shape are unaltered.
Given points are p ( 8,-2 ) Q(8,5) R( 4,-2 )
The reflection of the points
P (8,-2) = P (-8, 2)
Q (8,5) = Q (-8, -5)
R (4,-2) = R (-4, 2)
Therefore, the coordinates of the vertices after a reflection across the Y-axis are P (-8, 2) Q (-2, 6) R (-2, 0)
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Answer:
15.6 ft²
Step-by-step explanation:
Given:
Radius (r) of circle = 5.7 ft
m<CBD = 55°
Required: Area of the shaded sector
SOLUTION:
Area of shaded sector = θ/360*πr²
Where,
θ = 55°
π = 3.14
r = 5.7 ft
Plug in your values
Area of shaded sector to nearest tenth = 15.6 ft²
Area of rectangle = length x width (product of the two adjacent sides)
Length of wx = sqrt((3 - 0)^2 + (4 - 1)^2) = sqrt(3^2 + 3^2) = sqrt(18) = 4.24
Length of xy = sqrt((-1 - 3)^2 + (8 - 4)^2) = sqrt((-4)^2 + 4^2) = sqrt(32) = 5.66
Area = 4.24 x 5.66 = 24 square units.