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3 years ago

If a =2+√3, then (a +1/a)

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

8+4√3/2+√3

Step-by-step explanation:

a =2+√3

(a +1/a)

(2+√3+1/2+√3)

(2+√3)^2+1/2+√3

4+4√3+3+1/2+√3

8+4√3/2+√3

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3 years ago

If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?

andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

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Putting values:

$^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35$

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Keywords: Probability

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3 years ago

Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to

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Hello!

$\large\boxed{9 \%}$

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3 years ago

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vladimir2022 [97]

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we are given that

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As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

$\frac{zw}{6}= \frac{18}{24}\\
\\
ZW=6*\frac{18}{24}\\
\\
ZW=\frac{18}{4}\\
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Hence ZW=4.5 Inches.

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