Answer:
22,440
Step-by-step explanation:
204 = 2 * 2 * 3 * 17
1320 = 2 * 2 * 2 * 3 * 5 * 11
They both have 2 2's and a 3 in common, so use them once
2 * 2 * 3 * 17 * 2 * 5 * 11 = 22,440
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
For the answer to the question above, I'll provide a solution to my answer below.
(4 / 5) + (3 / x) = (1/2)
<span>x cannot equal 0 </span>
<span>(4x + 15) / 5x = 1/2 </span>
<span>2(4x + 15) = 5x </span>
<span>8x + 30 = 5x </span>
<span>3x = -30 </span>
<span>x = -10
</span>I hope my answer helped you. Feel free to ask more questions. Have a nice day!
Answer:
A.
Step-by-step explanation:
