Answer:
C) not justified, since people usually swim in the ocean during the day.
Answer:
4/9
Step-by-step explanation:
The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:
k = ∛(1.6/5.4) = 2/3
Then the scale factor for the areas will be the square of this scale factor:
ratio of surface area = (2/3)² = 4/9
_____
The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.
Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.
Answer: Gus skydived 32 times
Step-by-step explanation:
G = number of times that Gus skydives
N = number of times that Nico skydives
E= number of times that Emma skydives
Gus skydives 4 times as much as Nick
This means G = 4N
Emma skydives 2 times as much as Nick.
This means E= 2N
If Emma has skydived 16 times,
That means E = 16
Put E = 16 in E= 2N,
16 =2N
N= 16/2 = 8
Put N= 8 in G = 4N
G =4×8 = 32
Gus skydived 32 times
Check
Nick skydived 8 times
Emma skydived 16 times
Answer: The correct answer is Volume Cone = one-third pi t squared k
Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.
The volume of a cylinder is given as;
Volume cylinder = pi x r squared x h (that is πr²h)
Also the volume of a cone is given as;
Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)
However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.
Therefore the volume of the cone should now be re-written as;
Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>
