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ivann1987 [24]
3 years ago
7

The height, h, of the equilateral triangle is given by h =5cotΘ, where Θ is 30 degrees. Can someone help me with this? I don't u

nderstand how to work it out.

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

You don't even need the picture to solve this one.

You said that      h = 5 cot(Θ) ,    and you said that  Θ  is 30 degrees.
All you need now is to find the cotangent of  Θ, plop that into the equation,
and the solution practically jumps off the paper into your lap.

To find the cotangent of 30 degrees, you can use a calculator, look it up
in a book, read it off of a slide rule if you have one, draw a picture of a
30-60-90 right triangle etc.  You'll find that the cotangent of 30 degrees
is  √3 .  That's about 1.732 .

So your equation is    h = 5 (1.732)  =  <em>8.66  </em>(rounded)

Apparently, somebody gave you the equation, and asked you to find 'h'.
Once you had the equation, you didn't even need to know that  'h'  has
anything to do with a triangle.


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The sum of 4 consecutive integers is 130
gogolik [260]

x + x + 1 + x + 2 + x + 3 = 130

Combine like terms.

4x + 6 = 130

Subtract 6 from both sides.

4x = 124

Divide both sides by 4.

x = 31

<h3>The first digit is 31.</h3><h3>The second is 32.</h3><h3>The third is 33.</h3><h3>The fourth if 34.</h3>
7 0
4 years ago
Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house
LuckyWell [14K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for n instances of a normal variable, the mean is n\mu while the standard deviation is s = \sigma\sqrt{n}.

In this problem:

  • Mean of 4 candies, hence \mu = 4.
  • Standard deviation of 1.5 candies, hence \sigma = 1.5.
  • She visited 35 houses, hence n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3

The probability is the <u>p-value of Z when X = 122</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{122 - 140}{3}

Z = -6

Z = -6 has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

6 0
3 years ago
40 points and brainlyest to who ever answers this for me- please someone help me
mixer [17]

Answer:

9) A

10) B

11) A

12) D

13) C

14) A

15) C

16) D

17) E (not sure, can't see full choice)

18) B

19) C

Explanation:

Hope this is what you're looking for friend :)

6 0
3 years ago
Fill in the blank spaces please.
Kisachek [45]

<u><em>PART A</em></u>

If 4 pounds = 10 dollars...

4/2 = 2

10/2 = 5

<u>So for 2 pounds, it would cost </u><u>$5.00</u>

Now for the 1 pound one

4/1 = 4

10/4 = 2.5

<u>For the 1 pound one, it would cost </u><u>$2.50</u>

<u></u>

<u><em>PART B</em></u>

We know that 4 pounds = 10 bucks

Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, <u>$1 = 0.4lb</u>

Now for the last blank...

Since $1 = 0.4, we multiply that by 9. 0.4 x <u>$9 = 3.6lb</u>

<u></u>

<em>HOPE THIS HELPED</em>

5 0
3 years ago
The sum of eleven and a number is negative nine.
Misha Larkins [42]

Answer:

The sum is 2. ...........

8 0
3 years ago
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