Ask question

Ask question

All categories

3 years ago

8

Which of the following is the missing side length that completes the Pythagorean triple below? 5, 12, ____ A. 17 B. 15 C. 13 D.

14

1 answer:

Tanya [424]3 years ago

4 0

Answer

13

Step-by-step explanation:

You might be interested in

The table shows the different packs of sports cards available for purchase. What is the smallest number of baseball and football

WARRIOR [948]

<span>The least common multiple would be 280 cards of each.

20 Packs of football, 8 packs of Hockey, and 7 packs of Baseball.</span>

5 0

3 years ago

Read 2 more answers

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

An Artist has 600 inches of framing material to form a rectangular frame. The dimensions of the wall on which it will hang limit

kondor19780726 [428]

Answer:

2(L +W) ≤ 600
W ≤ 200
L ≥ 2W

Step-by-step explanation:

We assume the problem wording means the length is to be at least 2 times <em>as long as</em> the width. (<em>Longer than</em> usually refers to a difference, not a scale factor.)

If we let "W" and "L" represent the width and length, respectively, then we can translate the problem statement to ...

2(L + W) ≤ 600 . . . . . . the perimeter is twice the sum of length and width

W ≤ 200 . . . . . . . . . . . . the width is at most 200 inches

L ≥ 2W . . . . . . . . . . . . . the length is at least twice the width

6 0

3 years ago

A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pr

prisoha [69]

Please dont tap on the link its a scam

3 0

2 years ago

The probability of something can be expressed as a decimal or as a percent. We know that the probability of something happening

Firdavs [7]

Answer: The probability lies between 0 and 1

Step-by-step explanation:

As from the given information probability of an event lies between 0% to 100% .

To convert percent into integer or fraction we have to divide it by 100

$0\%= \frac{0}{100} = 0$

And

$100\% = \frac{100}{100} = 1$

From the above the probability of an event lie between integers 0 to 1.

3 0

3 years ago