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3 years ago

Which graph best shows the relationship between the length of one side of a square and its perimeter.

Mathematics

2 answers:

sladkih [1.3K]3 years ago

6 0

The answer is the 1st graph. This is because a square have 4 sides and it is all the same. on the x axis (Side length) when it is 4 the perimeter (Length around the outside) will be 4 x 4 which is 16.

Hope this helps?

Anna [14]3 years ago

5 0

Answer:

<h2>First graph.</h2>

Step-by-step explanation:

Remember that a square has all four equal sides, which we are gonna call $x$ .

Now, the perimeter is defined as the sum of all sides, which is $P=x+x+x+x=4x$

As you can notice, the perimeter of a square is four times its side. If we call $y$ the perimeter, the relation is

$y=4x$

That means if each side is 4 units, then its perimeter is 16 units.

If you observe each graph, you would find that the first graph describes this relation. To demonstrate that, let's the slope of the line using (0,0) and (4, 16) which are two points on the line

$m=\frac{16-0}{4-0}=\frac{16}{4}=4$

Notice that the first graph has the same slope (ratio of change) than the expression we deducted.

Therefore, the right answer is the first graph.

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3 years ago

In the election for presidency, Stan Fitz received 542 votes, Elizabeth Stuckey received 430 votes and Gene Sterner received 130

Snezhnost [94]

Answer:

The total number of eligible voters in the town = 1224 ( app.)

Step-by-step explanation:

Let us assume the total number of eligible voters = p

Now, the number of votes received by Stan Fitz = 542

The number of votes received by Elizabeth Stuckey = 430

The number of votes received by Gene Sterner = 130

So, the total number of votes received in total = 542 + 430 + 130 = 1,102

Now, only the 90% of total voters p voted in the election.

⇒ 90% of p = 1102

$\implies \frac{90}{100} \times p = 1102\\ \implies p = \frac{1102\times 100}{90} = 1224$

or, p ≈ 1224

Hence, the total number of eligible voters in the town = 1224 ( app.)

6 0

3 years ago

4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$