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
If you're not sure, begin by looking for any divisor that will divide into 24a^3c and 3a without leaving a remainder. Note that 3 is such a number, and a is another.
Factoring out 3a from 24a^3*c and 3a, we get 3a{8a^2*c, 1}
So the GCF is 3a.
Answer:
c
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Find the discount
discount = original price * 15%
= 20*.15 =3
Subtract the discount from the original price
20-3 = 17
The sale price is 17
Answer:
The temperature of the coffee after 10 minutes will be 21.27°C.
Step-by-step explanation:
The equation representing the elapsed time, <em>m</em>, in minutes, since the coffee was left to cool, and the temperature of the coffee, <em>T</em>, measured in °C is:
Compute the temperature of the coffee after 10 minutes as follows:
Thus, the temperature of the coffee after 10 minutes will be 21.27°C.
