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antoniya [11.8K]
3 years ago
7

In 5 years time, Maja’s age will be twice what it was 6 years ago. How old is Maja now?

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Step-by-step explanation:

let Maja's present age be X .

6 years ago , she was x-6 yrs

In 5 years time maja's age will be (X+5) yrs

according to question ,

( X+5) = 2(x-6)

x+5. = 2x-12

x-2x = -12- 5

- X = - 17. ( minuses will be cancelled)

therefore , X = 17 years.

Hence ,

Maja's age is now 17 years old.

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- First find the area of the whole circle

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

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Area of sector = (50/9)π

Now, find the area of the triangle:

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Substitute the values in:

1/2(5)(5) x sin(80) = 12.31009691

Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

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