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rosijanka [135]
2 years ago
7

40 pts!

Mathematics
2 answers:
Alik [6]2 years ago
7 0

Answer:

13.08

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = 3.14 * 5^2

A =3.14 *25

A =78.5

The angle of the purple sector is 60 degrees

A full circle is 360 degrees

The fraction of the circle that is purple is 60/360 = 1/6

Multiply the area of the circle by 1/6

1/6* 78.5 =13.0833333

Rounding to the nearest hundredth

13.08

just olya [345]2 years ago
3 0

Answer:

given

radius [r]=5units

area of purple sector :=60/360×πr²=1/6×π×5²=13.08unit squared

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7nadin3 [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.
grigory [225]

Answer: x=5(13-12p)


Step-by-step explanation:

Given equation: x=65-60p

\\\Rightarrowx=(5\times13)-(5\times12)p

Since 5 is the greatest common factor of 65 and 60 in the given expression.

Therefore, the above expression can be written as

x=5(13-12p)

Hence, by factoring the side that contains the variable p we have the expression x=5(13-12p).




7 0
3 years ago
In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0
3 years ago
Help on this please
AveGali [126]
18 11 25 8 4 !!!!!!!!
5 0
3 years ago
If f(x)=x/2-3and g(x)=4x^2+x-4, find (f+g)(x)
Sergeeva-Olga [200]

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2-3 + 4x²+x+4

= ..........

4 0
3 years ago
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