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DiKsa [7]
3 years ago
13

The length of a swimming pool is 8m longer than its width and the area is 1o5m2?

Mathematics
2 answers:
Nina [5.8K]3 years ago
5 0
Let the breadth be x
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer
elena55 [62]3 years ago
4 0


length = w + 8 and  width = w and A = 105

A = W* L

105 =w(w + 8)

105 = w² + 8w

0 = w² + 8w - 105

0 = (w + 15)(w -7)

0 = w + 15   or 0 = w -7

w = -15      or   w = 7

width cant be negative, so

w = 7  and L = 7 +8

w = 7 and L = 15

7 * 15 = 105  check 

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Step-by-step explanation:

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8 0
3 years ago
The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe
astraxan [27]

The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:

a(n) = -5.6n + 16.7

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

  • The percentage of smokers in 2014 was 16.7%, hence the initial value is b = 16.7
  • The percentage is decreasing by 5.6% each year, hence the slope is m = -5.6.

Then, the <em>equation </em>is:

y = mx + b

a(n) = -5.6n + 16.7

You can learn more about linear functions at brainly.com/question/24808124

7 0
3 years ago
samantha threw an apple out of a window from the tenth floor of her appartment building. the equation y = -16t^2+120 can be used
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Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t² 
110 = 16t²
t² = 110/16
t² = 6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)
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