The diameter of the circular railroad crossing sign below is 16 inches. Find the area of the sign. Use 3.14 for π.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

3 0

Answer:

200.96

Step-by-step explanation:

Area is

$\pi {r}^{2}$

Where r is the radius, we can find the radius since the radius is half of the diameter. Since the diameter is 16, the radius is 8. Now let plug it in the equation.

$\pi(8) {}^{2}$

Which equals

$64\pi$

Use 3.14 as pi then multiply

$64 \times 3.14$

Which is 200.96

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The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^

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Answer:

The function has been flipped due to the negative in front.

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Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.
Multiplying by a negative flips the graph.

The graph of $(-2^{x+17}) -4.3$ compares to $2^x$ in the following ways: