Answer:
8 movies and 6 video games
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Step-by-step explanation:
Given
Required
Determine the items Lonnie can afford
To solve this question, we make use of trial by error method by taking the options one at a time:
Option 1: 6 movies and 4 video games
<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>
<em />
Option 2: 14 movies and 7 video games
<em>This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.</em>
<em />
Option 3: 2 movies and 10 video games
<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>
<em />
Option 4: 8 movies and 6 video games
Hence, the correct option is <em>8 movies and 6 video games
</em>
Answer:
h = s / π.r²
Step-by-step explanation:
the given equation is s = π.r².h
Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.
This only possible when we divide term on both the sides by π.r²
s/π.r² = π.r².h/π.r²
h = s / π.r²
Therefore h = s / π.r² is the right option.
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
X=13/24 in decimal form it’s x=0.5416
Answer: It's being divided by 5. hope this helps
