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2 years ago

The diameter of a dime is 17.9 millimeters. What is the area of one side of the coin? Show your work

Mathematics

1 answer:

vekshin12 years ago

6 0

Answer:

251.65 Millimeters rounded to the hundredths place.

Step-by-step explanation:

The formula for the area of a circle is A=π×r^2.

Step 1: Find r, or the radius, which is half the diameter. In this case, it is 8.95.

Step 2: Square the radius that you get. In this case, the answer is 80.1025.

Step 3: Multiply the past number by π on your calculator. Some teachers allow 3.14 but be certain that your teacher allows it. In this case, π×80.1025=251.649425534

Step 4: You've got your answer! Hope this helps!

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Step-by-step explanation:

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3 years ago

f(x) = x2. What is g(x)?SIf(x)= x/g(x)(2,1)-5O A.06)-()O B. g(x) = 2x2O C. g(x)-9(x)=(*)O D. g(x)= x2

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Explanation

As you can see all the possible answers have the same form:

$g(x)=ax^2$

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

$\begin{gathered} (2,1)=(x,g(x)) \\ x=2 \\ g(2)=1 \end{gathered}$

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

$\begin{gathered} g(2)=1=a\cdot2^2 \\ 1=4a \end{gathered}$

Then we can divide both sides by 4:

$\begin{gathered} \frac{1}{4}=\frac{4a}{4} \\ a=\frac{1}{4} \end{gathered}$

Then we get:

$g(x)=\frac{1}{4}x^2=(\frac{1}{2}x)^2$ Answer

Then the answer is option A.

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11 months ago