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3 years ago

A square patio has an area of 143 square feet. How long is each side of the patio to the nearest tenth?

Mathematics

1 answer:

Montano1993 [528]3 years ago

3 0

Since all the sides of a square are the same, all we need to do is take the square root of the area.

√143 = 11.958260...

How to round:

5 and above, round up

4 and below, round down

11.958260... -> 12

Therefore, the side lengths of the square is aproximately 12 feet.

Best of Luck!

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

3 years ago

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forsale [732]

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8 0

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Nezavi [6.7K]

Answer:

Top left.

Step-by-step explanation:

Definition of a rectangle:

A four sided figure with 90 degree angles. The opposing side pairs are congruent with each other. It's the equivalent of a modified, upgraded parallelogram.

Now, the square is the answer since it fits all of the criteria of the rectangle, with the addition of having four congruent sides.

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3 years ago

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ch4aika [34]

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Substituting the known values:

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3 years ago

Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9)<br> y =

shepuryov [24]

Answer:

y =5

Step-by-step explanation:

−9−7

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