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3 years ago

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Of 2012 consumers polled, some like only animated movies, some prefer just musicals, and some like both. If 74 people like only

animated, and 86 like both, how many people prefer only musicals?
A:52
B:65
C:74
D:86

1 answer:

igor_vitrenko [27]3 years ago

4 0

The answer to this is A)52

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Find the length of the third side. If necessary, write in simplest radical<br> form.<br> 8<br> 17

statuscvo [17]

Answer:

9

Step-by-step explanation:

so we know that its a right triangle and 8 and $\sqrt{17}$ are not the hypotenuse.

the equation for this is $a^{2}$ + $b^{2}$ = $c^{2}$ with c being the hypotenuse.

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64+17= $c^{2}$

81=c

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2 years ago

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Zarrin [17]

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Prove the following statement using a proof by contraposition. Yr EQ,s ER, if s is irrational, then r + 1 is irrational.

sp2606 [1]

Answer:

I think that what you are trying to show is: If $s$ is irrational and $r$ is rational, then $r+s$ is rational. If so, a proof can be as follows:

Step-by-step explanation:

Suppose that $r+s$ is a rational number. Then $r$ and $r+s$ can be written as follows

$r=\frac{p_{1}}{q_{1}}, \,p_{1}\in \mathbb{Z}, q_{1}\in \mathbb{Z}, q_{1}\neq 0$

$r+s=\frac{p_{2}}{q_{2}}, \,p_{2}\in \mathbb{Z}, q_{2}\in \mathbb{Z}, q_{2}\neq 0$

Hence we have that

$r+s=\frac{p_{1}}{q_{1}}+s=\frac{p_{2}}{q_{2}}$

Then

$s=\frac{p_{2}}{q_{2}}-\frac{p_{1}}{q_{1}}=\frac{p_{2}q_{1}-p_{1}q_{2}}{q_{1}q_{2}}\in \mathbb{Q}$

This is a contradiction because we assumed that $s$ is an irrational number.

Then $r+s$ must be an irrational number.

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3 years ago

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FinnZ [79.3K]

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