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murzikaleks [220]
3 years ago
12

The windscreen wiper of a car sweeps

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0

Answer:

A ≈ 530 cm²

Step-by-step explanation:

The swept area equals the total area covered by the blade minus the unswept area.

The area of a sector with radius r and angle θ is:

A = (θ / 360) πr²

So the swept area is:

A = (θ / 360) πR² − (θ / 360) πr²

A = (θ / 360) π (R² − r²)

A = (150 / 360) π (21² − 6²)

A ≈ 530 cm²

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C=3.95p what is the slope
N76 [4]

Step-by-step explanation:

I think it's 3.95!

this would be the only option!

6 0
3 years ago
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Jane and john shared some money such that jane got 4 times as much money as john. What fraction of money did john get ?​
VMariaS [17]

Answer:

1/5

Step-by-step explanation:

let's assume the share John gets to be x

John: x

jane: 4x

therefore there total will be 5x

x/5x=0.2 or 1/5

3 0
3 years ago
Factorise<br>5 x y + 5 x + 4 y + 4​
Katen [24]

Answer:

5 x y + 5 x + 4 y + 4

5x(y+1)+4(y+1)

(y+1)(5x+4)

4 0
3 years ago
Tan 235° = 2tan20°+ tan215°​
Mariulka [41]

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

5 0
3 years ago
Find the surface area of the rectangular prism. justify your answer 3ft, 2ft, 4ft
Gelneren [198K]

Answer: SA=52\ ft^2

Step-by-step explanation:

The surface area of a rectangular prism can be calculated with the following formula:

SA = 2wl + 2lh + 2hw

Where "l" is the length of the rectangular prism, "w" is the width and "h" is the height.

In this case you can say that the length, the width and the heigth of this rectangular prism, are the following:

l=4\ ft\\\\w=2\ ft\\\\h=3\ ft

Knowing these values, you can substitute them into the formula shown before:

SA = 2wl + 2lh + 2hw\\\\SA = 2(2\ ft)(4\ ft) + 2(4\ ft)(3\ ft)+ 2(3\ ft)(2\ ft)

Finally, you must evaluate in order to calculate the surface area of the rectangular prism.

You get that this is:

SA=2(8\ ft^2)+2(12\ ft^2)+2(6\ ft^2)\\\\SA=16\ ft^2+24\ ft^2+12\ ft^2\\\\SA=52\ ft^2

4 0
4 years ago
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