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Mathematics

2 answers:

timurjin [86]3 years ago

8 0

Answer:

s= 10

Step-by-step explanation:

cross multiplication

12*15= 180

180 divided by 18= 10

umka2103 [35]3 years ago

6 0

Answer:

s=9

Step-by-step explanation:

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Ab= 6cm Ac=12cm Calculate the length of Ad Give your answer to 3 significant figures

Allisa [31]

Answer:

12.686cm

Step-by-step explanation:

By using pythagoras, we can find CB.

We know that $a^2+b^2=c^2$

Therefore, $12^2-6^2=CB^2$

$CB=\sqrt{108}$ (it has to be positive since it is distance)

now we look at triangle BCD and use SOH CAH TOA.

$Sin55=CB/CD\\Therefore, CD= 12.686$

8 0

3 years ago

Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability t

Svetach [21]

Answer: $\bold{\dfrac{1}{99}}$

Step-by-step explanation:

There are 5 men and 7 women, which is a total of 12 people. Finding the probability that none of the four people are women is the same as saying that all four people are men.

$\dfrac{5\ men}{12\ total\ people}\ and\ \dfrac{4\ men\ remaining}{11\ people\ remaining}\ and\ \dfrac{3\ men}{10\ people}\ and\ \dfrac{2\ men}{9\ people}\\\\\\=\dfrac{5\times 4\times 3\times 2}{12\times 11\times 10\times 9}\\\\=\dfrac{(4\times 3)\times (2\times 5)}{12\times 11\times 10\times 9}\\\\=\dfrac{1}{11\times 9}\\\\=\dfrac{1}{99}$