A rectangular pool measures 10m by 5m. A deck, of uniform width, is to be built all the way around the pool such that the total area of the pool and deck will be126m2 . Set up and solve a quadratic equation to determine the width of the deck.

Answers

Answer 1

Answer:

Answer:

The width of the deck is 2m .

Step-by-step explanation:

Let the width of the pool be represented by w. As stated in the problem a deck of uniform width is to be built so the total width of the pool and deck will be w+w = 2w.

Now the total dimensions can be taken as

10m+ 2w and 5m + 2w of both the pool and deck.

Area = length * breadth

126m ²= (10m+ 2w) ( 5m + 2w )

126= 50 + 30 w+ 4w²

0= 50 -126+ 30 w+ 4w²

0 = 30 w+ 4w²- 76

Taking 2 as common

0= 2( 15 w+ 2w² - 38)

2w²+ 15 w - 38= 0

The above equation is the quadratic equation and can be solved as follows.

a= 2 , b= 15 and c= -38

b= -b±√b²- 4ac/2a

Putting the values

b= - 15±√15²- 4( 2)(-38)/2(2)

b= - 15± 23/4

b= - 38/4 or 8/4

b= 2 m

The width cannot be negative so we ignore the negative value

The width of the deck is 2m .

The can be checked by putting the value in the original equation.

126m ²= (10m+ 2w) ( 5m + 2w )

126m ²= (10m+ 2(2)) ( 5m + 2(2) )

126m ²= (10m+ 4) ( 5m + 4 )

126m ²= 14*9

126m ²= 126m ²

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Meredithsays that 15.17 is greater than 15.8
because 17 is greater than 8. Do you
agree? Explain your reasoning

Answers

15.17 is not greater than 15.8. Meredith statement is wrong.

What is Number system?

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

We need to compare both the numbers 15.17 and 15.80.

For comparing two number we need to check the integer part and decimal part.

The integer part is same for both the numbers. so let us move towards decimal part. in tenth place 15.17 has 1 and for 15.80 it has 8.

We know that 8 is greater than 1.

Hence 15.8 is greater than 15.17. Merediths answer is wrong.

To learn more on Number system click:

brainly.com/question/22046046

#SPJ2

Answer:

Step-by-step explanation:

Because in the number 15.8, it is equal to 15.80. 80 is more than 17.

How do I solve for x? log (x-2) = -1 + log (x+1)

Answers

For this question you can say:
log(x-2) - log(x+1) = -1
and you should know that log(x-2) minus log(x+1) is equal to:
log((x-2)/(x+1))
so now you have:
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now you can say:
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now you can say:
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9x = 21
x = 21/9
x = 7/3 :)))
I hope this is helpful
have a nice day

a students skipped a step when he tried to convert 720 seconds into hours and he got the following incorrect result

Answers

i dont know what the question is but the answer is 1/5 of an hour
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Find theta if theta is between 0 degrees and 90 degrees and tan theta = 7/8, find cos theta

Answers

tan θ = 7/8
θ = tan^-1 (7/8) = 41.2 degrees

cos θ = 0.7526

Answer: see below

Step-by-step explanation:

Presuming you meant this

0< θ < 90 degree; tan (θ) = 7/8 find cos (θ)

Using the identity

1 + tan²θ = sec²θ (where sec θ = 1/cosθ)

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= √{ 64/113} = 8/√113 <= answer.

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Answers

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