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1. 17.8 cm

2. 32.0 cm

3. 15.9 m

Step-by-step explanation:

1. Determination of the length of the arc.

Radius (r) = 6 cm

Angle at the centre (θ) = 170°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 170/360 × 2 × 3.14 × 6

L = 17/36 × 37.68

L = 17.8 cm

2. Determination of the length of the arc.

Diameter (d) = 13 cm

Angle at the centre (θ) = 282°

Pi (π) = 3.14

Length of arc (L) = ?

Next, we shall determine the radius. This can be obtained as follow:

Diameter (d) = 13 cm

Radius (r) =?

r = d/2

r = 13/2

r = 6.5 cm

Finally, we shall determine the length of the arc. This can be obtained as follow:

Radius (r) = 6.5 cm

Angle at the centre (θ) = 282°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 282/360 × 2 × 3.14 × 6.5

L = 282/360 × 40.82

L = 32.0 cm

3. Determination of the length of the arc.

Radius (r) = 11 m

Angle at the centre (θ) = 83°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 83/360 × 2 × 3.14 × 11

L = 83/360 × 69.08

L = 15.9 m

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

the k side

step-by-step explanation:

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