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3 years ago

The area of a square poster is 37 in.2. Find the length of one side of the poster to the nearest tenth of an inch.

Mathematics

1 answer:

mojhsa [17]3 years ago

7 0

Answer:

6.1 in

Step-by-step explanation:

√37=6.08276

6.1 in

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Use the augmented matrix method to solve the following system of equations. Your answers may be given as decimals or fractions.

Alexandra [31]

Answer:

$x\ =\ \dfrac{21}{5}$

$y\ =\ \dfrac{3}{5}$

z = 2

Step-by-step explanation:

Given equations are

x - 2y - z = 2

x + 3y - 2z = 4

-x + 2y + 3z = 2

from the given equations the augmented matrix can be written as

$\left[\begin{array}{ccc}1&-2&-1:2\\1&3&-2:4\\-1&2&3:2\end{array}\right]$

$R_2=>R_2-R_1\ and\ R_3=>R_3+R_1$

$=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&5&-1:2\\0&0&2:4\end{array}\right]$

$R_2=>\dfrac{R_2}{5}$

$=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\0&0&2:4\end{array}\right]$

$R_1=>R_1+2.R_2$

$=\ \left[\begin{array}{ccc}1&0&-1-\dfrac{2}{5}:2+\dfrac{4}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]$

$R_3=>\dfrac{R_3}{2}$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&1:2\end{array}\right]$

$R_1=>R_1+\dfrac{7}{5}R_3\ and\ R_2+\dfrac{1}{5}R_3$

$=\ \left[\begin{array}{ccc}1&0&0:\dfrac{14}{5}+\dfrac{7}{5}\\\\0&1&0:\dfrac{2}{5}+\dfrac{1}{5}\\\\0&0&1:2\end{array}\right]$

So, from the above augmented matrix, we can write

$x\ =\ \dfrac{21}{5}$

$y\ =\ \dfrac{3}{5}$

z = 2

7 0

3 years ago

Steven and Bob both have a Pokemon card collection. The number of Pokemon cards in Steven's collection can be represented by x.

Arada [10]

Answer: 48

Step-by-step explanation:

The number of Pokemon cards in Steven's collection = x

The number of cards in Bob's collection is 4 times the amount in Steven's collection= 4x

The total number of Pokemon cards in both collections = 240

x + 4x = 240

5x = 240

x = 240/5

x = 48

The number of cards in Steven's collection is 48

8 0

4 years ago

Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later what is the total amount that

Afina-wow [57]

Answer: Simple interest= Principal× rate× time/ 100

Amount= Simple interest + Principal

Step-by-step explanation:

4 0

3 years ago

which expression represents purely real numbers and which expression represents non-real complex number?

Lyrx [107]

Answer:

Step-by-step explanation:

Complex numbers are the numbers represented by the expression = a + bi

Here a = real part of the number

bi = imaginary part

a and b are the real numbers.

$i^9=(i^2)^4.(i)$

$=(-1)^{4}.i$ [Since, $i^2=-1$ ]

$=i$

Therefore, its a non real complex number.

2 - $\sqrt{-49}$ = $2-\sqrt{(-1)(7)^2}$

= $2-7\sqrt{-1}$

= $2-7i$

This number is a Non real complex number.

$\sqrt{(-18)^2}=18\sqrt{-1}$

= 18i

It's a non real complex number.

3 + 2i

It's a non real complex number.

-289

It's a purely real number.

$4-32i^2=4-32(-1)$

= 4 + 32

= 36

It's a purely real number.

6 0

3 years ago

Help!!! PLEASE I'll Give brain list if you give me the right answer

beks73 [17]

Answer:

Step-by-step explanation:

From least to most likely

Honour

Simple

Bonus

6 0

3 years ago