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Elena-2011 [213]
3 years ago
12

A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha

n the original room. The area of the new room will be 144 square feet greater than the area of the original room. What are the dimensions of the original room?
Mathematics
1 answer:
gogolik [260]3 years ago
8 0

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

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17. Scott cuts his birthday cake into nine equal pieces and eats two of them.
Roman55 [17]

Answer:

A. 0.2222

B. Repeat indefinitely

Step-by-step explanation:

A. We have that Scott has 9 pieces in total and he eats 2 of them. That means he eats 2 <em>out of </em>the 9, so we have 2 ÷ 9. (see attachment)

The decimal form is: 0.2222.

B. Clearly, we can see that throughout the long division, we keep getting 20 - 18 = 2, which makes another 20 and so on. So, this will repeat indefinitely.

7 0
3 years ago
Solve for a 4/a+4= -1/a+9
Karolina [17]

Answer:

a = -8

Step-by-step explanation:

4/a + 4 = -1/a + 9

-1(a + 4) = 4(a + 9)

-1a - 4 = 4a + 36

-5a - 4 = 36

-5a = 40

a = -8

7 0
3 years ago
Find the approximate side length of a square game board with an<br> area of 184 in2
andrey2020 [161]

The approximate side length of a square game board with an

area of 184 in^2 is 14 inches

<h3>Area of a square</h3>

The formula for calculating the area of a square is expressed as;

A = l^2

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

184 l^2

l = √184

l = 13.56

Hence the approximate side length of a square game board with an

area of 184 in^2 is 14 inches

Learn more on area of a square here: brainly.com/question/25092270

#SPJ1

4 0
1 year ago
ROUND 977.259856871 TO 3 DECIMAL PLACES HELP!
sasho [114]

3 decimal places would be where the 9 is, since the next number is 8 , the 9 would become a 0 and the number before it (5) would become a 6

 so it would be 977.260

6 0
2 years ago
Read 2 more answers
38+39+40+41+...+130+131
aliya0001 [1]

Answer:

419

Step-by-step explanation:

the answer is 419 because 38+39=77+40=117+41=158+130=288+131=419

hope my math is correct =)

6 0
3 years ago
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