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Sedbober [7]
3 years ago
15

A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is

96 square feet, what is the length in feet of the path?
Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer:

24 feet

Step-by-step explanation:

Given that:

The length of the rectangle is 6 times the side of a cement square.

Now, this rectangle is formed from 6 squares;

The total area of the path of this square = 96 square feet;

The area of each square now = 96/6 = 16 square feet

Recall that:

Area of a square = S²

where S is the side length

16 = S²

S = \sqrt{16}

S = 4 ft

The length of the path in feet now is: L × w

= 6 × 4

= 24 feet.

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Perform the indicated operation. Show all necessary work.
densk [106]

The subtraction of a negative number is the same as addition of the

positive equivalent of the number.

The outputs of the operations are;

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Reasons:

(a) The operation is -2 - (-9)

Which is the subtraction of negative 9 from negative 2, which gives, a double negative, which is equivalent to a positive, therefore, we get;

-2 - (-9) = -2 + 9 = <u>7</u>

<u />

(b) The operation is -2 - 9

The above operation is the subtraction of +9 from negative 2, which gives;

-2 - 9 =<u> -11</u>

(c) The operation is -2 - (-9) - (-2)

The above operation is the subtraction of negative 9, and negative 2 from

negative 2, and therefore, has two double negatives that result two

positive(s) increases, as follows;

-2 - (-9) - (-2) = -2 + 9 + 2 = 9

Learn more here:

brainly.com/question/20508039

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2 years ago
Find the missing side. Round to the nearest tenth.
puteri [66]

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29.9

Step-by-step explanation:

29.9 rounded to the nearest 10 is 30

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An isosceles triangle has a base 10.6 units long. If the congruent side lengths have measure of the first decimal place, what is
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5.4 units long.

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{3x+y=10<br> {X-4y=-1 You must solve for Y
zlopas [31]

Answer:

x = 3 and y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = 10

x - 4 y = -1

Express the system in matrix form:

(3 | 1

1 | -4)(x

y) = (10

-1)

Solve the system with Cramer's rule:

x = 10 | 1

-1 | -4/3 | 1

1 | -4 and y = 3 | 10

1 | -1/3 | 1

1 | -4

Evaluate the determinant 3 | 1

1 | -4 = -13:

x = 10 | 1

-1 | -4/(-13) and y = 3 | 10

1 | -1/(-13)

Simplify 10 | 1

-1 | -4/(-13):

x = -1/13 10 | 1

-1 | -4 and y = 3 | 10

1 | -1/(-13)

Simplify 3 | 10

1 | -1/(-13):

x = -(10 | 1

-1 | -4)/13 and y = -1/13 3 | 10

1 | -1

Evaluate the determinant 10 | 1

-1 | -4 = -39:

x = (-1)/13×-39 and y = -(3 | 10

1 | -1)/13

(-1)/13 (-39) = 3:

x = 3 and y = -(3 | 10

1 | -1)/13

Evaluate the determinant 3 | 10

1 | -1 = -13:

x = 3 and y = (-1)/13×-13

(-1)/13 (-13) = 1:

Answer:  x = 3 and y = 1

3 0
2 years ago
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