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agasfer [191]
2 years ago
11

Morgan is reupholstering an old chair with two circular cushions. Each cushion has a circumference of 7. 85 feet. He will need t

wo pieces of fabric for each cushion. How many square feet of fabric will he need to cover the cushions? Use Pi = 3. 14 and round to the nearest square foot. Ft2.
Mathematics
1 answer:
kramer2 years ago
8 0

The total fabric Morgan needs to cover the cushions will be 19.64 square feet.

It is given that each cushion has a circumference of 7.85 feet.

It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.

2πr = 7.85

r = 1.25

<h3>What is an area of a circle?</h3>

area of a circle is πr².

now, we can calculate the area = π× 1.25² = 4.91 square feet

since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.

Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.

to get more about the area of a circle, refer to the link:

brainly.com/question/12069107

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Solnce55 [7]

Answer:

A  viable solution is the ordered pair (0,0)

Step-by-step explanation:

we know that

The number of books cannot be a negative number

The number of books is a positive integer

The weight cannot be a negative number

therefore

A  viable solution is the ordered pair (0,0)

4 0
3 years ago
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Select the correct answer. What is the correct expansion of the binomial (x + y)5? A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5 B.
Naily [24]
<h3>Answer:</h3>

  C.  x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5

<h3>Step-by-step explanation:</h3>

Wrong terms are bolded:

A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5

B. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4

C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5

D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5

The sum of exponents should always be 5.

7 0
3 years ago
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In the graph shown, suppose that f(x) = ax, g(x) = bx, and h(x) = cx. Choose the true statement.
faltersainse [42]
Where a, b, and c are real numbers and a ≠ 0 . The quadratic term is ax 2 , the linear term is bx, and the constant term is c. Quadratic functions have degree two. The graph of a quadratic function is called a parabola. If a < 0, then the parabola opens downward, like function g. If a > 0, then the parabola opens upward like function f. If the parabola opens upward, then the vertex is the point whose yvalue is the minimum value of f. If the parabola opens downward, then the vertex is the point whose y-value is the maximum value of f. The vertical line that goes through the vertex is called the axis of symmetry of the parabola.
5 0
3 years ago
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Pls find the blank space. <br><br>the first answer will get marked brainliest​
True [87]

Step 1

Anything divided by one gives itself.

\frac{1}{8}=-8\text{ and }\frac{-8}{1}=\frac{-12}{48}

8

1

=−8 and

1

−8

=

48

−12

Step 2

Convert -8−8 to fraction -\frac{64}{8}−

8

64

.

\frac{1}{8}=-\frac{64}{8}\text{ and }\frac{-8}{1}=\frac{-12}{48}

8

1

=−

8

64

and

1

−8

=

48

−12

Step 3

Compare \frac{1}{8}

8

1

and -\frac{64}{8}−

8

64

.

\text{false}\text{ and }\frac{-8}{1}=\frac{-12}{48}false and

1

−8

=

48

−12

Step 4

Anything divided by one gives itself.

\text{false}\text{ and }-8=\frac{-12}{48}false and −8=

48

−12

Step 5

Reduce the fraction \frac{-12}{48}

48

−12

to lowest terms by extracting and canceling out 1212.

\text{false}\text{ and }-8=-\frac{1}{4}false and −8=−

4

1

Step 6

Convert -8−8 to fraction -\frac{32}{4}−

4

32

.

\text{false}\text{ and }-\frac{32}{4}=-\frac{1}{4}false and −

4

32

=−

4

1

Step 7

Compare -\frac{32}{4}−

4

32

and -\frac{1}{4}−

4

1

.

\text{false}\text{ and }\text{false}false and false

Step 8

The conjunction of \text{false}false and \text{false}false is \text{false}false.

\text{false}false

Hint

Do the arithmetic.

Solution

\text{false}false

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2 years ago
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boyakko [2]

Answer:

600

Step-by-step explanation:

Given,

Numbers are 825 and 213.

If the number are equal  or greater than 50 then one number will be rounded up. if the number is less then it will rounded down.

Like in this case 25 and 13 are less than 50 so, they will not rounded up.

825 will be rounded to 800.

213 will be rounded to 200.

Subtraction of number

= 800 - 200 = 600

7 0
3 years ago
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