53 is not a perfect square and whereby not using a calculator, 53 is between the perfect squares of 49 and 64. Hence the answer should be between 7 and 8. since 53 is closer to 49, then the answer should be close to 7. use a calculator to verify
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Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
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The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
This is correct, because it takes 27 minutes to get home so it will probably be about 30 minutes.
Answer:
Reflection over the x-axis
Step-by-step explanation:
The transformation rule for a reflection over the x-axis is (x, -y)
