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zhannawk [14.2K]
3 years ago
12

A railroad crossing sign has a diameter of 30 inches. what is the area of the sign?

Mathematics
2 answers:
WITCHER [35]3 years ago
6 0

Answer:

about 706.5 or 706.86

Step-by-step explanation:

to find this answer we need to use the area formula of a circle which is A = πr ^2

we know the diameter is 30, and the radius is half the of diameter, so we take 30 and divide it by 2, which should give us 15 for the radius. ( 30/2 = 15, so r = 15)

depending on how your teacher wants u to answer this you can use π on a calculator or use 3.14

now just plug in your numbers to formula

A = 3.14 * 15^2 or A = π * 15^2

and should equal about 706.5 or 706.86 (depending on if you use 3.14 or π)

Anna007 [38]3 years ago
5 0

Answer:

706.5m^2

Step-by-step explanation:

The sign is a circle

Area of a circle is (pi)r^2

d = 30 in -> r = d/2  = 30/2 = 15

Area = 3.14 x (15)^2 = 706.5m^2

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The linear function is a function that has a straight line when plotted on a

graph.

<h3>The correct option;</h3>
  • The table of ordered pairs that represent a linear function is the option; <u>x/y  -8/-7  0/0  8/7  16/14</u>

<u />

<h3>Reasons why the above selection is correct:</h3><h3 /><h3>Given;</h3>

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

<h3>Representation of the options in tabular form;</h3>

In a tabular form, we have;

\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right]  \begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right]  \begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]  \begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right]

<h3>Characteristic of linear function;</h3>

In a linear function, when the x-values have a constant rate of increase the

first difference in the y-values is constant.

<h3>Selection of the table representing a linear function;</h3>

The option that have constant first difference along with a constant rate of

increase in the x-value is the option with the following table;

\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right], which is the option x/y -8/-7 0/0 8/7 16/14

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The cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a <u>rectangle</u>. Hence, <u>4th option</u> is the right choice.

If the peak of the rectangular pyramid is directly above the center of the base, it creates a perpendicular to the base, indicating the height of the pyramid. This type of rectangular pyramid is known as the right rectangular pyramid.

A rectangle is a quadrilateral, that is a closed figure with 4 line segments, with all four interior angles at 90°.

When we slice a right rectangular pyramid vertically down at the red line by a plane, not passing through the vertex, of the pyramid will be a dilated image of its base.

A dilated image is an enlarged or diminished image of the preimage, similar with all angles.

Thus, the cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a <u>rectangle</u>. Hence, <u>4th option</u> is the right choice.

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