Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2. Which of the following sequences of transfo
rmations can be used
to support Sara's claim?
A
a reflection over the y-axis, followed by a reflection over the x-axis.
B
a translation of 7 units to the left, followed by a translation of 8 units up.
С
a reflection over the x-axis, followed by translation of 4 units to the right
D
a rotation of 270° clockwise about the origin, followed by a reflection over the y-axis.
to support Sara's claim?
A
a reflection over the y-axis, followed by a reflection over the x-axis.
B
a translation of 7 units to the left, followed by a translation of 8 units up.
С
a reflection over the x-axis, followed by translation of 4 units to the right
D
a rotation of 270° clockwise about the origin, followed by a reflection over the y-axis.
1 answer:
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Let x be the original price.
Discount percentage = 40%
Price after discount = $3
So, x - = 3
= 3
= 3
x = 5
Hence, the equation that would allow us to find the original price is 0.6x = 3.
Answer:
Step-by-step explanation:
1. Area of base
The radius given is that of the circumcircle.
The general formula for the edge length a of a regular polygon is
a = 2Rsin(π/n)
So,
a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in
The general formula for the area of a regular polygon is
A = ¼na²cot(π/n)
So,
A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²
2. Lateral area
The general formula for the lateral area L of regular prism is
L = nah
So,
L = 5 × 5.878 × 12 = 352.7 in²
3. Total area
Total surface area = lateral area + 2×base area
S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²