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
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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
Answer:
Zabato is thinking of 6
Step-by-step explanation:
I first set it up as an equation based on the word problem you have given me
(n + 10)3 = 8n
Distribute the 3
3n + 30 = 8n
Isolate n
3n - 8n +30 - 30 = 8n - 8n - 30
-5n = -30
-5n/-5 = -30/-5
n = 6
To check replace 6 with n
(6 + 10)3 = 8 (6)
(16)3 = 48
48 = 48
<span>I think this is the answer cos 30=<span><span>3–√</span>2</span></span>
Answer:
y=-2/9 x – 9
Step-by-step explanation:
It really is simple translation because this is written in y=mx+b, where b is the given y-intercept. From there, just subtract what is needed to go down or add what is need to go up.
y=-2/9 x – 7 – 2
.:y=-2/9 x – 9
