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3 years ago

Anna has a square shaped cardboard of surface (x2 + 12x + 36) cm2. Find the side of the cardboard

Mathematics

2 answers:

OverLord2011 [107]3 years ago

7 0

Answer:

Step-by-step explanation:

A square surface is determined by the product of its sides

s = L ^ 2

Thus, the surface of the cardboard of side C, will be

x ^ 2 + 12x + 36 = C ^ 2

Factoring

(x + 6) (x + 6) = C ^ 2

THE SIDE IS (x + 6)

slega [8]3 years ago

3 0

Answer:

$\boxed{(x+6)}$

Step-by-step explanation:

The surface of a square is $\sf side^2$ .

$s^2 =x^2 +12x+36$

Take the square root on both sides.

$s=\± \sqrt{x^2+12x+36}$

$s=\± (x+6)$

The side of the cardboard cannot be a negative value.

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About 33% of people who get their feet examined are found to have an ingrown toenail. What is the probability of a podiatrist ex

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The correct answer is 0.94147

Step-by-step explanation:

Let A denote the event that the podiatrist finds the first person with an ingrown toenail.

And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.

While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:

= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} .$

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + (\frac{2}{3}) ^{2} \frac{1}{3} + (\frac{2}{3})^{3} \frac{1}{3} + (\frac{2}{3})^{4} \frac{1}{3} + (\frac{2}{3})^{5} \frac{1}{3} + (\frac{2}{3})^{6} \frac{1}{3}.$

= 0.94147

We can also solve the above expression by using the geometric progression formula as well where common ratio is given by $\dfrac{2}{3}$ .

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