Answer:
The height of the given rectangular prism is 5cm.
Step-by-step explanation:
Given that the volume of the rectangular prism is
And length is and width is
That is V=5cm^3[/tex] , and
We have the volume of the rectangular prism V=lwh cubic centimeter
Substituting the values in above formula
Rewritting as below
Therefore the height is 5cm
Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h
Volume of conical pile is given by formula
Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume
take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
What Lewis did wrong was that; He budgeted more than the maximum recommended amount of money for transportation.
<h3>How to budget effectively?</h3>
We are given;
Net spendable income = $2,000 per month
Now, we see how much he has budgeted for other items such as Car payments, Gas/Oil, Insurance, License/Registration, Taxes, Maintenance/Repair.
Now, from the recommended transportation budget of between 15% - 20% of the net spendable income, we can see that he would likely spend more than that if we add the cost of maintenance and repair.
Thus, what Lewis did wrong was that he budgeted more than the maximum recommended amount of money for transportation.
Read more about Budget at; brainly.com/question/6663636
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To find the inverse, switch the variables and solve for f(x).
x = e^f(x) + 6
x - 6 = e^f(x)
f(x) = ln(x-6)
hope this helps :)
Answer:
Step-by-step explanation:
Remember that
If angle t belong to the First Quadrant
then
The value of sin(t) and cos(t) are positive values
we know that
---> by trigonometric identity
we have
substitute