Multiply 3x(2x-1) by following these steps
2 answers:
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Answer:
The angle of rotation is 2.11 °
Step-by-step explanation:
Given as :
The radius of the round path = r = 18 feet
The length of the distance cover by wheel = l = 38 feet
Let The angle of rotation = Ф
Now, According to question
∵ length of the arc of a circle subtending an angle at center = Ф
So,
length of the distance cover by wheel = π × radius ×
Since 180° = π radian
And π = 3.14
So, length of the distance cover by wheel = 180 °× radius ×
i.e l = r × Ф
Or, Ф =
Or, Ф =
Or, Ф = 2.11 °
So, The angle of rotation = Ф = 2.11 °
Hence, The angle of rotation is 2.11 ° Answer
Answer:
It will take Ellie 64 minutes to put as many boxes as possible.
Step-by-step explanation:
Let us work with meters.
The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( <em>to convert from centimeters to meters we just divide by 100, because 1m =100cm).</em> therefore the volume of each box is:
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Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume is:
So the amount of boxes that Ellie can put in the van is equal to the volume of the van divided by the volume
of each box:
So 192 boxes can be put into the van.
Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:
So it takes Ellie 64 minutes to put as many boxes into the van as she can.