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valina [46]
3 years ago
5

Monica’s current office is a square. Her office in the company’s new building will be 3 feet wider and 5 feet longer

Mathematics
1 answer:
gregori [183]3 years ago
7 0

Answer:

<h2> The are of the office is 15ft^2</h2>

Step-by-step explanation:

This problem is on the mensuration of flat shapes, this time on the square shape of an office.

given that

length of the office= 5 feet

width of the office= 3 feet

we can continue y solving for the area of the office, seeing that the information given by the question is just enough for the area

area of square= lenght* width

area= 5*3

area= 15 ft^2

The are of the office is 15ft^2

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Solve the following equations using any method. Show your work and check your
Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4  is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

<u>Step-by-step explanation:</u>

<u>a) The given equation is  2x + 16 = 5x + 4 </u>

  • From the above equation, it can be found that the equation consists of x terms and constant terms.
  • Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
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⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

<u>To check, substitute x=4 in the equation :</u>

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

<u>b) The given equation is 3x − 5 = 2x + 14</u>

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

<u>To check, substitute x=19 in the equation :</u>

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

<u>c) The given equation is 5x − 5 = x + 15</u>

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

<u>To check, substitute x=5 in the equation :</u>

5(5) - 5 = 5 + 15

25-5 = 20

20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

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3 years ago
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Answer:

3 \sqrt{21}

Step-by-step explanation:

\sqrt{189}  = 3 \sqrt{21}

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3 years ago
Volume? Correct answers please
goldfiish [28.3K]

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius <em>(half the diameter)</em>, and h = height. Now lets substitute what we know into this equation!

<em>Since we are giving the diameter (14) we must divide by 2 to find the radius.</em>

                         14 ÷ 2 = 7

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V = ?

Time to plug these values in!

V = π 7^{2} (9)

<em>We have to distribute </em><em>pi to 7 square that term </em><em>and then </em><em>multiply the value by 9</em><em>. </em>

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V = 1385.44

Hope this Helps! :)

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An rectangular water tank has a base area of 56 sq. ft. and a height of 4 ft. Find its volume in cubic feet.
ira [324]

Answer: 224 cubic feet

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7 0
2 years ago
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