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3 years ago

Which statement is true about the product square root of 2(5 + square root of 8)?

Mathematics

2 answers:

Serggg [28]3 years ago

8 0

For this case we have the following product:

$\sqrt{2}(5+\sqrt{8})$

Applying the distributive property we have:

$5\sqrt{2}+\sqrt{2}\sqrt{8}$

Then, rewriting the expression we have:

$2\sqrt{2}\sqrt{2}+5\sqrt{2}$

$4+5\sqrt{2}$

We note that the answer is a irrational number, because the square root of two is not an exact number.

Answer:

$4+5\sqrt{2}$

It is irrational and equal to 4 + 5square root of 2.

Yuki888 [10]3 years ago

3 0

We are given with two factors: square root of 2 and 5 + square root of 8. We use a scientific calculator that displays irrational answers. The product of the two factors is 4 + 5 square root of 2. The answer is irrational since the square root sign in the answer is present.

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Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.

kondaur [170]

Th matrix is missing. The matrix is :

$\begin{bmatrix}1 &-4 &4 \\ -4 &16 & 4 \end{bmatrix}$

Solution :

The column of the matrix are $\begin{bmatrix}1\\ -4\end{bmatrix}$ , $\begin{bmatrix}-4\\ 16\end{bmatrix}$ , $\begin{bmatrix}4\\ 4\end{bmatrix}$

Now each of them are vectors in $IR^2$ . But $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the $\text{linearly independent set}$ as the set contains $\text{more vectors}$ than there are entries in each vector.

Therefore, option (D) is correct.

4 0

2 years ago

The base radius of an ice cream cone is 3.5 cm and the slant height is 6.5 cm. What is the capacity of the ice cream cone and it

ella [17]

The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem h ^2 = H^2, so h= sqrt (H^2 - r^2)
h = sqrt (6.5^2 - 3.5^2) = 5.47
finally, V = (1 / 3) (3.14 x 3.5 x 5.47) = 20.03 cm^3
the surface are is A = pi x r x H = 71.43 cm^2

8 0

3 years ago

Read 2 more answers

What is -2(x + 8) +9

mina [271]

Answer:

Step-by-step explanation:

-2x - 7

7 0

2 years ago

Stanley is reading a 224-page book. There are illustrations on 14 pages. If Stanley opens the book at random, what is the probab

likoan [24]

It will be 0.0625 because you can use a calculator and do 14/224

5 0

2 years ago

In a group of equal number of men and women 10% men and 45% women are suffering from Malaria.What is probability a peraon select

Kaylis [27]

Answer:

The probability a person selected random is not suffering from Malaria is 0.725.

Step-by-step explanation:

Denote the events as follows:

X = a person is suffering from Malaria

M = a man

W = a woman

The information provided is:

P (M) = P (W) = 0.50

P (X|M) = 0.10

P (X|W) = 0.45

Compute the probability a person selected random is suffering from Malaria as follows:

$P(X)=P(X|M)P(M)+P(X|W)P(W)$

$=(0.10\times 0.50)+(0.45\times 0.50)\\\\=0.05+0.225\\\\=0.275$

Then the probability a person selected random is not suffering from Malaria is:

P (X') = 1 - P (X)

= 1 - 0.275

= 0.725

4 0

3 years ago