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777dan777 [17]
2 years ago
7

the rectangle below initially has dimensions of 10 inches and 14 inches as shown. after both dimensions have been increased by a

length of x, the total area of the resulting rectangle is 320 square inches. algebraically determine the value of x.
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
7 0

The value of x determined algebraically given the total area of the rectangle is 1.5 inches

<h3>How to find area of a rectangle</h3>

Initial dimensions:

Length = 14 inches

Width = 10 inches

New dimensions:

Length = 14 + x

Width = 10 + x

Area = 320 square inches

Area of a rectangle = Length × Width

320 = (14 + x) × (10 + x)

320 = 14x × 10x

320 = 140x²

x² = 320/140

x² = 2.28571428571428

x = √2.28571428571428

x = 1.511857892036908908858066144936720243

Approximately,

x = 1.5

Learn more about area of a rectangle:

brainly.com/question/13048427

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Help Me quick please!!!
Musya8 [376]

Let the width of room be =x mtrs

Then the length is x+2 mtrs

As Perimeter = 2(l+b) = 2(x+x+2)

16 = 2 ( 2x+2)

16/2 = 2x +2

8=2x+2

2x= 8-2 = 6

x = 6/2 =3 mtrs

Therefore width of the room is 3 mtrs

7 0
3 years ago
Read 2 more answers
Which graph shows a linear function? ​
Stolb23 [73]

Answer:

Step-by-step explanation:

You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.

Please go back to the source of  your question and describe the other graphs that were given to you.

The graph that shows a straight line is the linear function.

4 0
3 years ago
8. The two triangles are congruent as suggested by their appearance. Find the value of all the variables. The
adelina 88 [10]

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

8 0
3 years ago
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To date, Ty has cumulative earnings of $107,600. This week he is paid $3,000. What's the total amount of social security tax for
rjkz [21]
Ty's social security tax is
  6.2% * $3000 = $186.00

The best choice is ...
  A. $186.00
6 0
3 years ago
Read 2 more answers
I need help with math
Nata [24]

Answer:

Question 13. I believe is C.

Step-by-step explanation:

take your area of the face you are given aka your 7 5/6 and multiply it by six since there are six faces.

You can convert the mixed number to an improper fraction

     7 \frac{5}{6}  = denominator times the whole number ( 6x7)= then add the numerator    (42+5)=\frac{47}{6}

Then multiply by six to get your answer

I'm not completely sure about question number fourteen so I am not answering it.

8 0
3 years ago
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