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Lerok [7]
3 years ago
12

Find the value of 20 % of $300

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

$60

Step-by-step explanation:

multiply $300 by 20%

20% = \frac{20}{100} = 0.2, hence

20% of $300 = $300 × 0.2 = $60


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If a = √3-√11 and b = 1 /a, then find a² - b²​
Serga [27]

If b=\frac1a, then by rationalizing the denominator we can rewrite

b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8

Now,

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

and

a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8

a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8

\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}

5 0
2 years ago
The seconds hand of an analog clock completes an entire rotation in 60 seconds, and the length of the seconds hand is 5 inches.
zaharov [31]

Answer:

195

Step-by-step explanation:

3 x 60 = 180

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3 years ago
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The answer for the following is B
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3 years ago
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