We can convert the logarithmic equation to exponential equation to find its equivalent equation.
Shifting the base of log(1/2) to the other side of the equation, we can write:
Surface area is square units, so you would need to square the scale factor.
The length was tripled, which means it is a scale factor of 3
3^2 = 9
The surface area would increase by a factor of 9.
The answer is B.
The area of the regular nonagon is 270 sq cm.
Step-by-step explanation:
Given,
Each side of a regular nonagon (b) = 10 cm
The length of apothem (h) = 6 cm.
To find the area of the nonagon.
Formula
The area of a nonagon with b as each side and h as apothem is = 9(
bh)
Now,
Putting the value of h and b we get,
Area = 9(×10×6) sq cm = 270 sq cm
Hence, the area is 270 sq cm.
Answer:
First rectangle: 12 cm by 2 cm
Second rectangle: 8 cm by 3 cm
Step-by-step explanation:
You can examine factor pairs of 24 to see which pairs meet the requirements:
24 = 1×24 = 2×12 = 3×8 = 4×6
Factor pairs (2, 12) and (3, 8) have one factor that differs by 1 and another factor that differs by 4. We can use these numbers to describe the rectangles:
First rectangle: 12 cm by 2 cm
Second rectangle: 8 cm by 3 cm
The slope is 100/1 and represents how much the price go up per unit manufactured.
The y-intercept represents the starting cost without any manufactures.
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