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BartSMP [9]
3 years ago
6

A rectangular patio measures 20 feet by 30 feet. By adding x feet to the width and x feet to the length, the area is doubled. Fi

nd the new dimensions of the patio.
Mathematics
2 answers:
yan [13]3 years ago
7 0

Answer:

Length = 40 feet

Width =30 feet

Step-by-step explanation:

It is given that a  rectangular patio measures 20 feet by 30 feet.

To find the area of first patio.

Area = length * breadth

 = 20 * 30 = 600 square feet

<u>To find the value of x</u>

It is given that new area will be the double the area of first patio.

Here area = 2 * 600 = 1200 square feet

Here length = 30 + x

width = 20 + x

Area = (30 +x)(20 + x) = 1200

x² + 50x + 600 =1200

x² + 50x - 600 = 0

By solving this quadratic equation we get,

x = 10 and x = -60

take positive value x = 10

<u>To find the dimensions of new patio</u>

New length = 30 + x = 30 + 10 = 40 feet

width= 20 + x = 20 + 10 = 30 feet

Mariana [72]3 years ago
3 0

Answer:

2400sq ft

Step-by-step explanation:

20×2 and 30×2

40×60

2400 sq ft

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Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one,
Serjik [45]

Answer:

0.00457 or 0.457%

Step-by-step explanation:

Glen Davis makes a free throw 74% of the time, meaning he misses 26% of the time. Four him to miss four in a row, it would require him to miss his first throw and his second throw and his third throw and his fourth throw. I highlight and because it is a helpful tip to remember that AND situations require multiplication while OR situations require addition.

So in this question we multiply the probabilities of him missing.

P(MMMM) = \frac{26}{100}* \frac{26}{100} *\frac{26}{100}* \frac{26}{100}  = 0.00457

This answer has been rounded off to three significant figures

4 0
4 years ago
Read 2 more answers
The equality <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E%7B2%7D%7D%20%3D-x" id="TexFormula1" title="\sqrt{x^{2}} =-x" alt="
mario62 [17]

Answer:

X < -3

Step-by-step explanation:

-x will be positive when x < -3

6 0
3 years ago
PLS HELP ILL GIVE BRAINLIEST
inysia [295]
<h3>Answer:   14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

  • a = 12
  • b = -11
  • c = -5

This leads to...

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}

Now use those roots to form these steps

x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

  • L = length = 4x-5
  • W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0
2 years ago
What is 3/4 divided by 7/12 as a fraction?
Yakvenalex [24]

Answer:

9/7

Step-by-step explanation:

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7 0
1 year ago
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Standard form of two hundred ten million, sixty four thousand,fifty
neonofarm [45]
We have to write the standard form of : two hundred ten million, sixty four thousand , fifty.
210 * 10,000,000 + 64 * 10,000 + 50
Answer:
The standard form is  210,064,050.
7 0
3 years ago
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