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3 years ago

8

Which of the following is a solution to the equation x - 5/7 = -3/7

1 answer:

podryga [215]3 years ago

8 0

Solve the equation:

      5       3
x – —— = – ——
      7       7

   5
Add —— to both sides, so you get x isolated at the left-hand side:
   7

      5       5       3 5
x – —— + —— = – —— + ——
      7        7           7       7

          3 5
x = – —— + ——
      7    7

Now, add those fractions at the right-hand side of the equation:

          – 3 + 5
x = —————
         7

        2
x = ——    <——— this is the answer (first option: 2/7).
        7

I hope this helps. =)

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Alenkinab [10]

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2 years ago

Find the area of the regular polygon. Round to the nearest tenth.

mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}$

where s is side length and n is number of sides.

$$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}$

$$a=\frac{6}{ \tan (30^\circ)}$

$$a=\frac{6}{ \frac{1}{\sqrt{3} }}$

$$a=6\sqrt{3}$

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )$

$$A=\frac{1}{2}(72)(6\sqrt{3} )$

$A=216 \sqrt{3}$

$A=374.1$ in²

The area of the regular polygon is 374.1 in².

4 0

3 years ago

Use the point-slope form linear equation given.

Agata [3.3K]

y-3=3(x+1)

opening the bracket

y-3=3x+3

y=3x+3+3

equation of the line in the form y=mx+c;

y=3x+6

therefore gradient=3

parallel lines have same gradient therefore gradient of the other line is 3

y--3/x-0=3

y+3=3(x-0)

y+3=3x-0

y=3x-3.

8 0

3 years ago

An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed wi

Elza [17]

Answer:

$P(X$

And we can find this probability using the normal standard distribution table and we got:

$P(z$

And the percentage faster than 13.28 seconds would be 91.9%

Step-by-step explanation:

Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:

$X \sim N(13,0.2)$

Where $\mu=13$ and $\sigma=0.2$

We want to find this probability:

$P(X$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

Using this formula we have:

$P(X$

And we can find this probability using the normal standard distribution table and we got:

$P(z$

And the percentage faster than 13.28 seconds would be 91.9%

8 0

3 years ago

A $22,000 loan was taken out. If $24,805 is due at the end of the loan after being compounded daily at 2.5%, how many

Alex777 [14]

9514 1404 393

Answer:

4.8 years

Step-by-step explanation:

Solving the compound interest formula for the number of years gives ...

t = log(A/P)/(n·log(1 +r/n))

where principal P invested at rate r compounded n times per year produces value A after t years.

t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800

The loan was for 4.8 years.

3 0

2 years ago