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3 years ago

9

A square has a area of 48 square inches what is the e act length of a side of the square

2 answers:

anygoal [31]3 years ago

6 0

Answer:

6.92820323028

Step-by-step explanation:

DerKrebs [107]3 years ago

5 0

Answer: 4√3 in.

Step-by-step explanation: If the side of a square is S, then the area of the square is S^2, and since we know the area of the square, we can create an equation to solve for the side; S^2=48. We take the square root of both side s and then get √48=√16×√3=4√3!

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Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

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3 years ago

The sum of 4 times a number and -2 is equal to the sum of 5 times the number and -2. Find the number

MArishka [77]

4n(-2)=(5)(-2)
-8n=-10
—— —-
-8 -8

n= 5/4
n= 1 1/4

So the final answer is n= 1.25

6 0

3 years ago

Kim walked diagonally across a rectangluar field that measured 100 ft by 240ft how far did she walk?

elena-s [515]

Draw a triangle and you can see that you can use the Pythagorean Theorem.
C = root (100^2 + 240^2)
C = 260ft

8 0

3 years ago