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alexira [117]
3 years ago
9

IN NEED OF ANSWER :( A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the th

ird side is 15 feet more than the length of the shortest side. Find the dimensions if the perimeter is 147 feet. a=? (shortest side) b=? (second side) c=? (third side)
Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

a = 33ft

b= 66ft

c = 48 ft

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • a (shortest side)= a
  • b (second side)=2a (twice the length of the shortest side)
  • c (third side)= a+15 ( 15 feet more than the length of the shortest side)

Since:  

Perimeter = a+b+c

Replacing with the values given:

147 = a+2a+(a+15)

147 = a+2a+a+15

147-15 = a+2a+a

132 = 4a

132/4 = a

33 ft= a  

Substituting a =33 in the other expressions:

b=2a = 2(33) = 66 ft

c= a+15 = 33+15 = 48 ft

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vovangra [49]

Answer:

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Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

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Afterwards using Normal Distribution Tables we find the probabilities as under:

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P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

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