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nata0808 [166]
3 years ago
15

Ava bought a rectangular rug for her hallway. The rug is 23 yards wide and 234 yards long.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer:

1 5/6

Step-by-step explanation:

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What is the following quotient? 5/√11-√3
kati45 [8]

ANSWER

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

EXPLANATION

The given rational function is

\frac{5}{ \sqrt{11} -  \sqrt{3}}

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

\sqrt{11}  -  \sqrt{3}

which is

\sqrt{11}   +  \sqrt{3}

When we rationalize we obtain:

\frac{5( \sqrt{11}  +  \sqrt{3} )}{(\sqrt{11}  - \sqrt{3} )( \sqrt{11}  +  \sqrt{3} )}

The denominator is now a difference of two squares:

(a - b)(a + b) =  {a}^{2}  -  {b}^{2}

We apply this property to get

\frac{5( \sqrt{11}  +  \sqrt{3} )}{( \sqrt{11}) ^{2}    -  ( \sqrt{3}) ^{2}  )}

\frac{5( \sqrt{11}  +  \sqrt{3} )}{11   -  3}

This simplifies to

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

Or

\frac{5 }  {8}\sqrt{11}  + \frac{5 }  {8}\sqrt{3}

8 0
3 years ago
Read 2 more answers
What is b in 5b+4=24?
Fittoniya [83]

Answer:

b = 4

Step-by-step explanation:

5b + 4 = 24

5b = 20

b = 4

7 0
3 years ago
Read 2 more answers
Help plz:)!!!!!!!!!!!!
solmaris [256]
Answer:first one
hope this helps
5 0
3 years ago
Read 2 more answers
Work out the perimeter of the triangle when the sides are : 3x-5 2x 19-x
mr Goodwill [35]

Answer:

4x + 14

Step-by-step explanation:

The perimeter of the triangle is equal to the sum of its three sides.

The sides of the triangle are 3x-5, 2x, and 19-x.

Calculate their sum.

3x - 5 + 2x + 19 - x

Rearrange.

3x + 2x - x + 19 - 5

Add or subtract like terms.

4x + 14

The perimeter of the triangle is 4x + 14.

5 0
3 years ago
Read 2 more answers
Please help me with this question.
padilas [110]
It would be: = 56 1/4 % = 225/4% = 225/4/100 = 225/400 = 9/16

In short, Your Answer would be 9/16

Hope this helps!
6 0
3 years ago
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