Draw the multiplication table on the P=(3,5,7,9) in module 12
1 answer:
Answer:
Find the attached file for the solution
Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,
When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.
Find the attached file for the solution and table.
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Given
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.
One cubic foot holds 0.804 bushels
Find out bushels of wheat can be stored.
To proof
Formula
where r is the radius and h represent the height.
As given in the question
diameter = 15 feet 3 inches
height = 24 feet 4 inches
First convert inches into feet
I inches = 0.083 feet
15 feet 3 inches = 15 + 3 × 0.083
= 15.25 feet
Diameter = 15.25 feet
24 feet 4 inches = 24 + 4 ×0.083
= 24.33 feet
Height = 24.33 feet
Radius = 7.63 feet
Put all the value in the above formula.
we get
Volume of the cylinder = 3.14× 7.63× 7.63× 24.33
= 4447.55 foot³ ( approx)
As given
One cubic foot holds 0.804 bushels
Total bushels of wheat can be stored = 4447.55×0.804
= 3575.83 ( approx)
Total bhushels of wheat stored are 3575.83 ( approx).
Hence proved
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
