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sergeinik [125]
3 years ago
13

What is the probability that a leap year selected at random will contain either 53 thursdays or 53 fridays?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0
<span>There are 366 days in a leap year
 In a week there are 7 days, so total no of days= 7*52=364 days.
  Here 52 represents number of weeks.
  Now last two days can be combination of two days say like Monday and Tuesday or Tuesday and Wednesday and so on.
 So in total 7 combinations are possible.
 Out of there can be 3 combinations containing Thursday or Friday.
 Hence, the probability is 3/7.
 Hence the answer is 3/7</span>
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How tall is the tree?<br> 5ft<br> 35°<br> -20ft-<br> [? ]ft
SVEN [57.7K]

Answer:

  • \boxed{\bf 19ft}

Step-by-step explanation:

\bf tan\:\theta =\cfrac{opp}{adj}

\bf tan(35^o)=\cfrac{x}{20}

\bf 20\;tan (35^o)=x

\bf 14ft=x

<u>The height of the tree:-</u>

  • \bf x+5ft
  • \bf 14ft+5ft
  • \bf 19ft
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butalik [34]
The answer is D. because if there is 32 total, and 18 of them are girls, that means that there are 14 boys . with the question asking for girl/boy ratio it would have to be 18/14 in that order . if you divide 18 and 14 by two, they simple down to 9/7 . making the answer D. 
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natali 33 [55]
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4 0
3 years ago
The base of a rectangular box measures 4 feet by 5 feet. if the volume is 100 cubic feet then the height is
Jobisdone [24]
Volume = length x width x height or V = lwh as a formula if you will.

Let's substitute what we know into the formula:

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How do you evaluate sin(13π/12)?
Alekssandra [29.7K]

13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0

Recall the double angle identity,

sin^2(x) = (1 - cos(2x))/2

If we let x = 13pi/12, then

sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]

where we took the negative square root because we expect a negative value.

Now, because cosine has a period of 2pi, we have

cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2

Then

sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]

sin(13pi/12) = - sqrt[2 - sqrt[3]]/2

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