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: OPTION C.
Step-by-step explanation:
Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.
For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).
Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.
Therefore, you need to search the option that shown the graph wich contains the point (1,-3).
Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).
This is the graph of the option C.
Answer: 98.6 - x ≥ 2 or x - 98.6 ≥ 2
Step-by-step explanation:
Since, the normal temperature = 98.6° F
Also, the temperature that differs from normal by at least 2°F is considered unhealthy.
If the temperature is x degree F,
Then, we have two conditions,
Condition 1 : x > 98.6,
The difference between 98.6 and x = x - 98.6
Then the inequality be,
x - 98.6 ≥ 2
Condition 2 : x < 98.6
The difference between 98.6 and x = 98.6 - x
Then the inequality be,
98.6 - x ≥ 2
Answer: Opens up, has a minimum
Step-by-step explanation:
If the x^2 term is positive the parabola opens up, if it is negative it opens down. Minimum always goes with up, maximum with down
Answer:
1/12 or 0.083
Step-by-step explanation:
