Answer:
Step-by-step explanation:
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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
Answer:
Step-by-step explanation:
Given
Required
Select an equivalent expression
Simplify the power
Apply law of indices:
Express decimal as fractions
The equation is the form:
Height = Constant / Width
There are several points that can be used to determine the constant. Picking out one which is (4,20)
20 = Constant / 4
Constant = 4(20)
Constant = 80
The constant is 80.
Answer:
0.2 times
Step-by-step explanation:
Saturn: 8.867 × 108 = 957.636
Uranus: 1.787 × 109 = 194.783
You take (Uranus: 194.783)
& you divide it by (Saturn: 957.636)
You should get a funky number like 0.203399830415732 but since they said approximately you only need to use the first 2 (don't forget to round)
That would make Uranus 0.2 times as far from the sun
