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Area = 36 = length*width
Then, while the area is constant the product length*width is constant.
Length and area are inversely related.
That means that to keep the same product (area), length vary in inverse proportion to width.
If you increase length, widht has to decrease to satisfy this relation:
width = 36/length
Of course, you can also say: length = 36 / width.
The answer is A.
We can first eliminate D since it uses these (<, >) signs and the lines are shaded, indicating the points on those lines are solutions.
We can also eliminate C because the y intercept in C’s lines is 2, while in the graph, they are both 3.
Finally, we can look at both inequalities on the graph and see that the shaded areas are both underneath the line. This means that y is less than the equation for the line, eliminating B
So, the answer is A
Hope this made sense!!
Answer:
h = 9 units of length
Step-by-step explanation:
Volume of a circular right cone is:
V(c) = (1/3)*Area of the circular base * h
Where h is the height of the cone, then
V(c) = (1/3) * π * r² * h
And we have that V(c) = 108*π
Then:
108 * π = (1/3) * π * r² * h (1)
We know diameter of the circular base is 12 units, according to that
r = d/2 ⇒ r = 12/2 r = 6 units
Then:
108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]
When simplifying we have to take into account that in order to keep last equation h needs to have units of length
Therefore:
108 = (1/3) * 36 * h
h = ( 108* 3 )/ 36
h = 9 units of length
Answer:
Question 16 A restaurant manager is listing 7 items on a menu. Of these menu items, 3 are appetizers and 4 are main courses. All of the appetizers will be listed befo
Step-by-step explanation:
before all of the main courses. In how many ways can the restaurant manager list the items?
