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3 years ago

A square patio has an area of 200 square feet. How long is each side of the patio to the nearest 0.05?

1 answer:

5 0

Squares are equal on all sides, and you find the area by multiplying the length times the width, so can assume that the length and width are the same.
That means by finding the square root (a number that equals another number when multiplied by itself) of 200, you should get your answer.
200 isn't a perfect square so you're going to get a decimal, which is why the square root of 200 is 14.14213562
By rounding up to the nearest 0.05, you'll end up with 14.14, which is the answer.

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The population of a town increases 14% in 2 years. if the population was 6000 originally, what is the population after the incre

Brilliant_brown [7]

That would be 6000 (1+0.14) = 6840 after two years.

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3 years ago

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andreyandreev [35.5K]

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Step-by-step explanation:

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2 years ago

HELP LOOK AT THE SCREENSHOT<br><br> Find the value of x. (SHOW WORK)

Vanyuwa [196]

Answer: x = 2

=============================================================

Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

----------------------

Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

----------------------

Now let's solve for x

6x-10 = 3x-4

6x-3x = -4+10

3x = 6

x = 6/3

x = 2

4 0

3 years ago

A grocery store has a shelf with half-gallon containers of milk. What type of number best represents the total number of gallon?

Advocard [28]

Rational numbers.

The grocery store will have a whole number of half gallons =>

number of gallons = n * [1/2] , where n = ∈ N

That means that the number of gallons ∈ Z+ and 0.

Then the answer is the option A. rational number.

4 0

3 years ago

If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the

Arturiano [62]

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

6 0

3 years ago