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3 years ago

What is the following quotient? 5/√11-√3

Mathematics

2 answers:

kati45 [8]3 years ago

8 0

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

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

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

serg [7]3 years ago

8 0

Answer:

Step-by-step explanation:

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Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

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a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

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The probability is given by,

$P=\frac{74}{100}=0.74$

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Strength is low B= 8+3=11

Conductivity is low and strength is low $A\cap B=3$

Probability is given by,

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$P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}$

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3 years ago

If the circumference is 3/2 pi what is the area

11111nata11111 [884]

Here is your answer

$\frac{9}{16} \pi \: {units}^{2}$

REASON:

Circumference(C)= 2πr

, where r is radius

Given

C= (3/2) π

So,

$2\pi \: r = \frac{3}{2}\pi$

$r = \frac{\frac{3}{2}\pi}{2\pi}$

$r = \frac{3}{4}$

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h is given by;
tan theta=opposite/adjacent
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Answer:

Step-by-step explanation:

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