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Nikolay [14]
4 years ago
14

A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The f

ly will be 12 feet high and 16 feet wide. The scouts are building the frame for the fly with two poles slanted and joined together at the top of the tent. What is the minimum length of the slanted poles needed to support the fly?
Mathematics
1 answer:
inessss [21]4 years ago
4 0
Most of the information's required for finding the answer is already given in the question. 
Height of the fly = 12 feet
Width of the fly = 16 feet
Now we can find the length of the poles using Pythagoras theorem.

Length of the poles = square root [(12)^2 + (8)^2]
                               = square root (144 + 64)
                               = square root (208)
                               = 14.4 feet
From the above deduction, we can conclude that the height of the poles needed to be 14.4 feet. I hope the answer has helped you.
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Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m.
xeze [42]

Answer:

Either 77.5^{o} or 102.5^{o}

Step-by-step explanation:

Given that : one angle is 25^{0} greater than another. Let the two angles be represented by a and b. Since one angle is 25^{0} greater than another, then:

b = a + 25^{0}

But;

a + b = 180^{o} (sum of angles on a straight line)

a + a + 25^{0} = 180^{o}

2a = 180^{o} - 25^{0}

a = 77.5^{o}

b =  77.5^{o} + 25^{0} = 102.5^{o}

Therefore the measures of all angles formed by the lines is either 77.5^{o} or 102.5^{o}.

7 0
3 years ago
If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is
V125BC [204]

Answer:

The probability is  P(\= X  <  40.4) = 0.84134

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =40 \ \Omega

   The standard deviation is  \sigma  = 2 \ \Omega

   The sample size is  n = 25

    The combined resistance is   \sum x_i = 1010 \ \Omega

Generally the sample mean is mathematically represented as

      \= x  = \frac{\sum x_i }{n}

=>   \= x  = \frac{1010 }{25}

=>   \= x  = 40.4 \ \Omega

Generally the standard error of the mean is mathematically represented as

     \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>  \sigma_{x} = \frac{ 2 }{\sqrt{25} }

=>  \sigma_{x} = 0.4

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       P(\= X  <  40.4) = P( \frac{\= X - \mu }{\sigma_{x }} <  \frac{ 40.4 - 40 }{0.4}  )

\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )

    P(\= X  <  40.4) = P( Z <  1 )

From the z table  the area under the normal curve to the left corresponding to  1 is

     P(\= X  <  40.4) = P( Z <  1 ) = 0.84134

     P(\= X  <  40.4) = 0.84134

3 0
3 years ago
The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-scho
ladessa [460]

Answer:

0.16

Step-by-step explanation:

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3 years ago
What is the slope of the two points (-2,7) and (4,-8)
labwork [276]

Answer:

-15/6

Step-by-step explanation:

If you look at the first number in each point, the x coordinate, you see the 2nd point is 6 forward from the 1st point. Now the 2nd number is the y coordinate, and you can see it goes down 15 from the 1st coordinate. So y/x is the slope.

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3 years ago
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In order to estimate the mean amount of time computer users spend on the internet each month. How many computer users must be su
evablogger [386]

Answer:

Step-by-step explanation:

Given that confidence level is 95% and sample mean is within 10 minutes of the population mean.  i.e. margin of error = 10

Std deviation of population= 211 minutes

Margin of error = Z critical * std error

Std error = sigma/sq rt n = \frac{211}{\sqrt{n} }

Hence we have

\frac{211}{\sqrt{n} }\frac{211}{\sqrt{n} }*1.9641.356\\n>1710

The minimum sample size is 1710

a) There may not be 1,809 computer users to survey

4 0
3 years ago
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