Glen is looking into buying a piece of land. He estimates that the land measures 100 yd by 850 yd. The land is actually 140 yd by 940 yd. What is the percent error in the estimated area of land?

Answers

Answer 1
Answer: Actual area = (140-yd x 940-yd)  =  131,600 square yards.

Estimated area = (100-yd x 850-yd)  =  85,000 square yards

Error = (131,600 - 85,000) =  46,600 square yards

Error as a fraction of the actual area =  46,600 / 131,600 =  0.354...

To change a decimal to a percent,
move the decimal point 2 places that way  ==> .

     0.354...  =  35.4.. %  (rounded)

Answer 2
Answer: 40 yards by 90 yards is the answer


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Find the two geometric means between 20 and 2500

Answers

Answer:

The two geometric means between 20 and 2500 are 100 and 500.

Step-by-step explanation:

First of all we all should know about a geometric progression to solve this question.

A geometric progression is a series in which there is a first term a and all the next terms are calculated by multiplying the previous term by a common number r.

where a is known as first term and

r is known as common ratio.

In the question we are given a as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.

Formula for n^(th) term in a geometric progression is:

a_(n)  = a* r^(n-1)

Here a_(4) = 2500

As per formula of n^(th) term:

a* r^(3) = 2500\n\Rightarrow 20 * r^(3) =2500\n\Rightarrow r^(3) = 125\n\Rightarrow r = 5

Now, 2nd term:

a_(2) = a * r\n\Rightarrow a_(2) = 20 * 5\n\Rightarrow a_(2) = 100

Now, 3rd term:

a_(3) = a * r^(2) \n\Rightarrow a_(3) = 20 * 5^(2)\n\Rightarrow a_(3) = 500

So, the two geometric means between 20 and 2500 are 100 and 500.

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Answers

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