Which ordered pair is identified by the letter "G" on this coordinate grid?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

8 0

Hey there!

When we say coordinate pair, we usually express our pair in the form of:

(x, y)

This means the point on the x axis is first, and the point on the y is second in the parenthetical format of coordinates. We know that the x coordinate is the horizontal one, while the y is vertical.

If we start with the x axis, we see that our point, G, is just below the number 2. That means our x coordinate is 2. For the y coordinate, we see that the point is directly lined up with the -3, therefore our y coordinate is -3.

Therefore, our coordinates are (2, -3).

Hope this helps!

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A rectangular school banner has a length of 36 inches and a width of 52 inches. A sign is made that is similar to the school ban

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Answer:

4212 : 1573 is the ratio.

Step-by-step explanation:

Given:

Length of rectangular school banner is 36 inches and width is 52 inches.

And, the sign made is similar to banner.

The sign's length is 22 inches.

Now, we have to find the ratio of the area of the banner to the area of the sign.

So, we have dimensions of rectangular school banner:

Length = 36 inches.

Width = 52 inches.

But, we have only length of sign:

Length = 22 inches.

Now, we have to find the width of sign by using cross multiplication method:

Let the width of sign be $x.$

As, sign is similar to banner.

So, if 36 inches is equivalent to 52 inches.

Then, 22 inches is equivalent to $x.$

$\frac{36}{52} =\frac{22}{x}$

By cross multiplying we get:

$36x=1144$

Dividing both sides by 36 we get:

$x=31\frac{7}{9} .$

Hence, the width of sign is $31\frac{7}{9}$ inches.

Now, we find the area of banner and the area of sign by putting formula:

Area of banner = length × width.

$Area\ of\ banner=36\times 52$

$Area\ of\ banner=1872\ square\ inches.$

Now, area of sign:

$Area\ of\ sign=length\times width\\\\Area\ of\ sign=22\times 31\frac{7}{9} \\\\Area\ of\ sign=22\times \frac{286}{9} \\\\Area\ of\ sign=\frac{6292}{9} \ square\ inches.$