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Andrej [43]
3 years ago
11

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
Anni [7]3 years ago
8 0

9514 1404 393

Answer:

  (4√3)/3

Step-by-step explanation:

You know the ratio of side lengths is ...

  x : 4 = 1 : √3

Then ...

  x = 4/√3

Multiply by (√3)/(√3) to rationalize the denominator:

 x = (4√3)/3

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According to a​ report, 67.5​% of murders are committed with a firearm. ​(a) If 200 murders are randomly​ selected, how many wou
kolezko [41]

Answer: The answer is 135 murders.

Step-by-step explanation: The report tells us that statistically 67.5% of murders are committed using a firearm. It follows therefore that in a sample of 200 randomly selected murders, one would expect that 67.5% of those would be by a firearm. \frac{67.5}{100} * 200 = 135.

It would certainly be higher that the expected value based on previous data collected but it would not be unusual because one sample may have a higher than "normal" amount of murders by firearm. Statistics aren't going to be exact for every sample.

8 0
3 years ago
The function is y=6x.<br><br> Find the horizontal asymptote of the curve.
Lynna [10]

Answer:

y=-6x/square root (4x^2-160

Step-by-step explanation:

hope this helps please mark me brainliest

6 0
2 years ago
Read 2 more answers
A new episode of Charlie's favorite TV series will be aired 25 minutes after Charlie gets home from school. Which method should
Tresset [83]

Answer:

Charlie should use a stopwatch with minutes and seconds

Step-by-step explanation:

charlie should not count in his head as it is not accurate, he could count too fast or slow

Charlie should not look at that clock and the seconds will affect the 25 minutes, whether it be less or more

Charlie should not use an hourglass as he might flip it over too soon or quick and it's not very accurate

therefore using the stopwatch allows him to accurately and fairly keep track of the exact time

4 0
3 years ago
If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

hope this helps!

7 0
1 year ago
Read 2 more answers
(x+6)(x^2-7x+12)<br> Algebra addition problem to find the area.
lisov135 [29]

Answer:

=x^3-x^2-30x+72

Step-by-step explanation:

Distribute parentheses:

=xx^2+x\left(-7x\right)+x\cdot \:12+6x^2+6\left(-7x\right)+6\cdot \:12

Apply minus - plus rule:

=x^2x-7xx+12x+6x^2-6\cdot \:7x+6\cdot \:12

Simplified:

=x^3-x^2-30x+72

Its complicated but..

7 0
3 years ago
Read 2 more answers
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