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Volgvan
3 years ago
12

Can somebody please help me, i really didnt understand my teacher at all

Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

Step-by-step explanation:

It is a solution because if you plug in 84 for b you get 84/12 = 7

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

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1. If the domain of a function f(x) is the set {10, 20, 30}. What does the information tell you about f-1(x)?
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PART A (1 in diagram)

Each mapping diagram represents a function because none of the elements in the inputs maps on to two different elements in the outputs.

1. The domain of the given function f(x) is the set {10, 20, 30}.

All we can say about

{f}^{ - 1} (x)

is that, it has a range of {10, 20, 30}.

This is because the domain of a function becomes the range of its inverse function.

2. If the graph of a function f(x) includes the point (3, 0), then the graph of the inverse function ,

{f}^{ - 1} (x)

will contain the point (0,3).

Reason:The point on the graph of the inverse function is obtained by reflecting the corresponding point on the graph of the function in the line y=x. We just have to swap the coordinates.

In simple terms the domain of the function becomes the range of the inverse function and vice versa.

3. If the first term in an arithmetic sequence is 2.

Then we have a=2.

If the twelfth term is 211, then

a + 11d = 211...(1)

Put a=2 into this equation.

2 + 11d = 211

Solve for d.

11d = 211 - 2

11d = 209

d =  \frac{209}{11}  = 19

If

a_n = 135

then

a + (n - 1)d = 135

Substitute a=2 and d=19

2 + (n - 1)19 = 135

19(n - 1) = 133

(n - 1) =  \frac{133}{19}

n - 1 = 7

n = 7 + 1 = 8

Therefore n=8

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