9514 1404 393
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
__
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
The diameter is given which is 13.5feet and radius is half of diameter. Therefore radius = 6.75 feet.
Slant height = 16.8 feet
The formula of surface area of cone is
Correct option is C
Answer:
y = 3x - 23
Step-by-step explanation:
y + 4 = 3(x - 9)
y + 4 = 3x - 27
y = 3x - 23
Answer:
18+316−251−11
=72
Step-by-step explanation:
18+316−251−11
=334−251−11
=83−11
=72
Answer:
y - 7 = 4(x + 3)
Step-by-step explanation:
Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.
