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Sveta_85 [38]
3 years ago
5

I can't figure this one out...

Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

Answer:

Exact: Area 36π ft^2  and Circumference 12π ft.

Approximate;  Area = 113.10 ft^2 and  Circumference 37.70 ft (to nearest hundredth).

Step-by-step explanation:

The diameter is 12 ft so the radius = 1/2 * 12 = 6 ft.

Area = π r^2

= 6^2 π  = 36π  ft^2. (exact).

Circumference =  2π r

= 12π  ft  (exact).

The approximate values are Area 113.10 and Circumference 37.70  to nearest hundredth.

worty [1.4K]3 years ago
5 0

Answer:

the area would be 36(pi) since you can't find out the exact value of pi (22/7) and where it would terminate so thats the most exact answer you can get. The circumference would be

Step-by-step explanation:

12/2 = 6

Area = (pi)radius^2

6^2 = 36

36(pi)

Circumference: (pi)d

12(pi)


For approximate area you multiply r^2 by 3.14

For approximate circumference you multiply diameter by 3.14


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2 years ago
What is the solution for the system<br> of equations shown IN the graph?
noname [10]

Answer:

(2,4)

Step-by-step explanation:

The solution for the system is where the two lines intersect.

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(2,4)

5 0
2 years ago
Read 2 more answers
Which of the following expressions can be factored by grouping? (Select all that apply.)
Greeley [361]

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

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3 years ago
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iVinArrow [24]
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5 0
3 years ago
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The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.
Blizzard [7]

Answer: 90

Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

Where a is the first term

d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

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Therefore , the 17th term of the sequence will be :

t_{17} = a + 16d

t_{17} = -6 + 16 (6)

t_{17} = -6 + 96

t_{17} = 90

Therefore : the 17th term of the sequence is 90

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