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ch4aika [34]
3 years ago
12

In circle E with m DEF 36 and DE = 3 units find area of

Mathematics
1 answer:
deff fn [24]3 years ago
4 0

Answer:

A ≈ 2.83 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{36}{360}

   = π × 3² × \frac{1}{10}

    = \frac{9\pi }{10}

   ≈ 2.83 units² ( to the nearest hundredth )

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The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?
Alla [95]

Answer:

22 feet

Step-by-step explanation:

Area of circle = pi(r²)

the square root of 121 is 11, so r = 11

d = 2r

d = 22

7 0
3 years ago
Can someone SMART redo these questions I mean I made a seven and I did all I could I need to know what went wrong
adoni [48]
2. 8x -28 = -140
8x -28 + 28 = -140 + 28
8x = -112
8x/8 = -112/8
x = -14

3. -9 + x/3 = -23
-9 + 9 + x/3 = -23 + 9
x/3 = -14
x/3/3 = -14/3
x = -14/3

4. x/-1.5 - 3.5 = -13.5
x/-1.5 - 3.5 + 3.5 = -13.5 + 3.5
x/1.5 = -10
x/-1.5/-1.5= -10/-1.5
x = 20/3

5.-6(x + 3) = -36
-6x - 18 = -36
-6x - 18 + 18 = -36 + 18
-6x = -18
-6x/-6 = -18/-6
x = 3

6. k + 3.7/9.8 = -0.22
k + 3.7/9.8/9.8 = -0.22/9.8
k + 3.7 = -2.156
k + 3.7 - 3.7 = -2.156 - 3.7
k = -5.856

7. 12(x - 6) = -108
12x - 72 = -108
12x - 72 + 72 = -108 + 72
12x = -36
12x/12 = -36/12
x = -3

8. -21.83x - -19.9 = -23.83
-21.83x + 19.9 = -23.83
-21.83x + 19.9 - 19.9 = -23.83 - 19.9
-21.83x = -43.73
-21.83x/-21.83 = -43.73/-21.83
x = 2

9. -10x - 68 + x = 40
-9x - 68 = 40
-9x -68 + 68 = 40 + 68
-9x = 108
-9x/-9 = 108/-9
x = -12

10. -34 - 3x - 2x = 71
-34 - 5x = 71
-34 + 34 - 5x = 71 + 34
-5x = 105
-5x/-5 = 105/-5
x = -21

11. 3x - 77 - 8x = 23
-5x - 77 = 23
-5x - 77 + 77 = 23 + 77
-5x = 100
-5x/-5 = 100/-5
x = -20

12. 3x - 5(2x - 12) = 123
3x - 10x + 60 = 123
-7x + 60 = 123
-7x + 60 - 60 = 123 - 60
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13. -3x + 6(x + 6) = 15
-3x + 6x + 36 = 15
3x + 36 = 15
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14. 5x + 2(4x - 9) = -174
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13x - 18 + 18 = -174 + 18
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15. -3x + 6(5x + 3) = -171
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27x + 18 - 18 = -171 - 18
27x = -189
27x/27 = -189/27
x = -7










5 0
3 years ago
In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the<br> bond?
Ilia_Sergeevich [38]

Answer:

Principal = $1800

Step-by-step explanation:

594 =  \frac{p \times 5.5 \times 6}{100}

\frac{594 \times 100}{5.5 \times 6}

59400/33 = p

1800 = p

5 0
3 years ago
Slade draws triangle PQR. He then constructs a perpendicular bisector from vertex P that intersects side QR at point T. What can
AVprozaik [17]

Answer:

QT = RT

Step-by-step explanation:

When drawing triangle PQR the perpendicular bisector cuts the triangle in half, which results in two sides that are congruent. This makes QT and RT congruent.

3 0
3 years ago
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jacob and his three friends went out to eat. they each ordered an individual pizza and a drink for $6.19. they also ordered brea
Yakvenalex [24]

Answer:

Each of them spent $9.35 on meal.

Step-by-step explanation:

Jacob and his three friends ordered an individual pizza and a drink for $6.19.

Total cost of pizza and drink = 6.19 × 4

= $24.76  

They also ordered bread sticks for $4.25

Tax on the bill was = $2.39

Tip amount was = $1.50×4 = $6.0

So the total billed amount will be = 24.76 + 4.25 + 2.39 + 6

= $37.4

Since there were four persons including Jacob.

Therefore, each person spend on meal = \frac{37.40}{4}

= $9.35

7 0
3 years ago
Read 2 more answers
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