The diameter of the wheel of a unicycle is 0.7m. Elaine tries to ride the unicycle and manages to go in a straight line for 32 full revolutions before falling off. How far did Elaine manage to cycle in metres? Give your answer rounded to 1 DP.

70.4metres

Step-by-step explanation:

Wheel Diameter = 0.7m

Wheel Radius; 0.7m / 2 = 0.35m

For one rotation of the wheel, the distance travelled = circumference of the wheel.

Circumference = 2 x pi x radius

= 2 × π × r

= 2 × π × 0.35

= 2.1991148575 m

Elaine tries to ride the unicycle and manages to go in a straight line for 32 full revolutions

Distance travelled with 32 full revolutions of the wheel = 32 x 2.1991148575 m =

Distance in meters = 70.37167544m

Approximately = 70.4m

Therefore, Elaine managed to cycle 70.4metres

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: