16 x 3.14 = 50.24 as the circumference of a circle is , pi x d (diameter)
Answer:
Can be packed 96 cubes in the box
Step-by-step explanation:
To solve this exercise we are going to calculate the two volumes
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 8 in
l = length = 6 in
h = height = 16 in
v = w * h * l
we replace the values that we know
v = 8 in * 6in * 16 in
v = 768 in³
The volume of the box is 768 in³
Now we calculate the volume of the cube
v = 2in * 2in * 2in
v = 8 in³
Now we divide the volume of the box by the volume of the cubes and it will tell us how many cubes fit in the box
768 in³ / 8 in³ = 96
Can be packed 96 cubes in the box
For every c substitute 4 and for every d substitute -2
c=4
d=-2
6c + 5d - 4c - 3d + 3c - 6d
= 6(4)+ 5(-2)- 4(4)- 3(-2)+ 3(4)- 6(-2)
=24+(-10)-16-(-6)+12-(-12)
=24-10-16+6+12+12
=28
I visited Indonesia in 1991 but all I can say now is "saya mau beli mango."
It's probably more correct to call the graph (one dimensional) position versus time rather than distance versus time.
(i) The speed will be the slope of the position versus time graph, so in the first ten seconds that's
![\dfrac{60 \textrm{ meters} - 20 \textrm{ meters}}{10 \textrm{ seconds} - 0 \textrm{ seconds}} =4 \textrm{ meters per second}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B60%20%5Ctextrm%7B%20meters%7D%20-%2020%20%5Ctextrm%7B%20meters%7D%7D%7B10%20%5Ctextrm%7B%20seconds%7D%20-%200%20%5Ctextrm%7B%20seconds%7D%7D%20%3D4%20%5Ctextrm%7B%20meters%20per%20second%7D)
(ii) The speed is zero when the slope is zero, or flat, horizontal. That's from t=10 seconds to t=20 seconds.
(iii) The last 10 seconds we went from a position of 60 to a position of zero; i.e. we went backwards. That's a speed or slope of
![\dfrac{0 \textrm{ meters} - 60 \textrm{ meters}}{25 \textrm{ seconds} - 20 \textrm{ seconds}} = -12 \textrm{ meters per second}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B0%20%5Ctextrm%7B%20meters%7D%20-%2060%20%5Ctextrm%7B%20meters%7D%7D%7B25%20%5Ctextrm%7B%20seconds%7D%20-%2020%20%5Ctextrm%7B%20seconds%7D%7D%20%3D%20-12%20%5Ctextrm%7B%20meters%20per%20second%7D)
Technically the speed is the absolute value of this velocity, 12 meters per second.
(iv) The average speed is the total change in position over the total time.
![\dfrac{0 \textrm{ meters} - 20 \textrm{ meters}}{25 \textrm{ seconds} - 0 \textrm{ seconds}} = -0.8 \textrm{ meters per second}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B0%20%5Ctextrm%7B%20meters%7D%20-%2020%20%5Ctextrm%7B%20meters%7D%7D%7B25%20%5Ctextrm%7B%20seconds%7D%20-%200%20%5Ctextrm%7B%20seconds%7D%7D%20%3D%20-0.8%20%5Ctextrm%7B%20meters%20per%20second%7D)
Again technically the speed is the absolute value of that, 0.8 meters per second.