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agasfer [191]
3 years ago
11

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq . By h

ow much were the dimensions increased?
Mathematics
2 answers:
stiks02 [169]3 years ago
7 0

Answer:

The increment is 4

Step-by-step explanation:

We know that the area of a rectangle is its base times its height.

Then, we can establish the following equation:

(12+x)*(14+x) = 288;

On which 'x', is the increment in the length of the rectangle's sides;

Now by developing this, we get a second degree equation:

168 + 14*x + 12*x +x^2 = 288;

Reorganizing and reducing terms, we get:

x^2 + 26*x -120 = 0.

We can use the root's equation  

(-B+-sqrt(B^2-4*A*C))/2*A

Solving this we get two answers x = 4 & x = -30.

As negative lengths have no meaning, we choose x = 4.

julia-pushkina [17]3 years ago
6 0
Well to get the area of 288 the dimensions would be a couple of things but 16 ft by 18 ft seems to work, so the dimensions increase by 4 ft on each side.

12+4=16
14+4=18

18*16=288
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Convert the following into millilitres a)13 litres​
skelet666 [1.2K]

Answer:

13,000ml

Step-by-step explanation:

1000ml = 1L.

We can rewrite this forumla as:

yL x 1000=ml. y=the number of liters.

In this problem, y=13. Thus:

13Lx1000= 13,000ml

I hope this helps!

7 0
3 years ago
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Which statement describes the relationship between the line graphs of the equations below? y = −2 x + 4 y = 1/2x + 4 a. The line
svetoff [14.1K]

Answer:

You can tell from the picture

Step-by-step explanation:

they intercept

4 0
3 years ago
Takeru Kobayashi of Japan ate 53.5 hot dogs in 12 minutes to win a contest what is the unit rate in hot dogs per minute
fomenos

Answer: 4.4 per minute?

Step-by-step explanation:

dividing 53.5 by 12?

4 0
1 year ago
What are the solutions of the equation x^2+4x+4=25
vodomira [7]
X² + 4x + 4 = 25
(x+2)² = 25
x + 2 = <span>±5
x + 2 = -5     or     x + 2 = 5
x = -5 -2               x = 5 - 2
x = -7                   x = 3

</span><span>The solutions are x=-7 and x=3</span>
7 0
3 years ago
Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals n=5 an
zubka84 [21]

Answer:

<u><em></em></u>

  • <u><em>Yes, it is reasonable to expect that more than one subject will experience​ headaches</em></u>

Explanation:

Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."

You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.

  • p = 0.732 is the probability of success (an individual experiences headaches).
  • n = 5 is the number of trials (number of subjects in the sample).

The meaning of the table of the distribution probability is:

The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.

To answer whether it <em>is reasonable to expect that more than one subject will experience​ headaches</em>, you must find the probability that:

  • X = 2 or X = 3 or X = 4 or X = 5

That is:

  • P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).

That is also the complement of P(X = 0) or P(X = 1)

  • 1 - P(X = 0) - P(X = 1)

From the table:

  • P(X = 0) = 0.0014
  • P(X = 1) = 0.0189

Hence:

  • 1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797

That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.

In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience​ headaches</em>

6 0
3 years ago
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