All categories

3 years ago

Find the value of √(6-3√5)

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

4 0

Answer:

There is no answer

Step-by-step explanation:

because 3√5=6,7082039232 > 6

So 6-3√5 < 0

But √x always >0

So there is no answer

You might be interested in

The data represent the age of world leaders on their day of inauguration. Find the five-number summary, and construct a boxplot

Mumz [18]

Answer:

Minimum value = 43, $Q_1=52$ , $Q_2=Median=61$ , $Q_3=67$ , Maximum value = 69.

Distribution is negative skewed.

Step-by-step explanation:

The given data set is

44, 43, 67, 68, 57, 65, 52, 62, 69, 54, 53, 61, 67, 48, 65

Arrange the data in ascending order

43, 44, 48, 52, 53, 54, 57, 61, 62, 65, 65, 67, 67, 68, 69

Divide the data in 4 equal parts.

(43, 44, 48), 52, (53, 54, 57), 61, (62, 65, 65), 67, (67, 68, 69)

Minimum value = 43

$Q_1=52$

$Q_2=Median=61$

$Q_3=67$

Maximum value = 69

Starting and end point of box plot represent the minimum and maximum value respectively. Box starts from the first quartile to the third quartile. A vertical line goes through the box at the median.

The shape of the distribution.

Normally distributed: If $Q_3-Q_2=Q_2-Q_1$

Positive skew: If $Q_3-Q_2>Q_2-Q_1$

Negative skew: If $Q_3-Q_2$

For the given data set

$Q_3-Q_2=67-61=6$

$Q_2-Q_1=61-52=9$

Since $Q_3-Q_2$ , therefore the given distribution is negative skewed.

5 0

4 years ago

The figure is a square. Find the length of side x in simplest radical form with a rational denominator.

nika2105 [10]

Answer:

$10\sqrt{2}$

Step-by-step explanation:

The diagonal of any square with side length $s$ is equal to $s\sqrt{2}$ . Since the side length of the square is 10, the diagonal must be $\boxed{10\sqrt{2}}$ .

To support and prove this:

The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse ( $a^2+b^2=c^2$ ).

Call the diagonal $d$ . In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have: