Radius =
<span>
<span>
<span>
23.125
</span>
</span>
</span>
cm
Cylinder Volume = <span>π <span>• r² • height
</span></span>
Cylinder Volume = 3.14 * 23.125^2 * 18.5
Cylinder Volume =
<span>
<span>
<span>
31,064.53515625
</span>
</span>
</span>
Cylinder Volume =
<span>
<span>
<span>
31,064.54 cubic centimeters
</span></span></span>
The sequence is geometric and the common ratio is 2
Answer:
(a) 1 inch of rider ⇒ 0.29 inches of frame
Step-by-step explanation:
The "slope" in the equation is the coefficient of the independent variable. Here, that variable is "h", and its coefficient is 0.29. That is, the height of the rider is multiplied by 0.29 (and a constant is added) in order to find the height of the frame.
__
The meaning of the value 0.29 is that a 1 inch increase in the rider's height should result in a 0.29 inch increase in the height of the frame of the bike.
The question asks for an <em>explanation</em> of the slope, not its function in the equation. That is why we have chosen the first answer.
It would be B) They are congruent
The problem is modelled in the first picture shown below
To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.
We use the cosine rule to work out the length AB




(nearest whole number)
The third picture shows the full diagram of the vectors
To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B
Angle A






(rounded to nearest whole number)
Angle B

Direction is 60° toward negative x-axis
Answer: Magnitude 130N and direction 60° toward negative x-axis