Answer:
8 inches
Step-by-step explanation:
Nacho cheese
v= Pi×radius×2×height
v = 3.14×8×2×4 = 200.96
jalapeño
3.14×4×2=25.12
200.96÷25.12=8
the height is 8
to check your work you can do
(multiply by 8 and see if it equals 200.96)
3.14×4×2×8 = 200.96
since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct
The trigonometric ratios are used for right angle triangle.The basic rule to followed is SOH CAH TOA
SOH means Sinx=opposite/Hyp.
CAH means Cosx = adj./Hyp.
TOA means Tanx = Opp./Adj.
Opposite is the side opposite to the acute angle of the right triangle.
<span>Adjacent is the side Adjacent to the acute angle of the right triangle.
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The longest side in a right triangle is the hypotenuse.
Let's check if the ODE is exact. To do that, we want to show that if
then
. We have
so the equation is indeed exact. We're looking for a solution of the form
. Computing the total differential yields the original ODE,
Integrate both sides of the first PDE with respect to
; then
where
is a function of
alone. Differentiate this with respect to
so that
So the solution to this ODE is
i.e.
Answer:
c) The required representation of the given situation is 4 m + 3 > 75
Step-by-step explanation:
Let us assume, the owner plans to have m tables.
Each table can seat 4 people.
⇒The number of people seated in m tables = m times 4 = 4 m
Also, the additional number of people seated ta chef's table = 3
So, Total seated people in the restaurant
= People seated at m tables + People seated at chef's table
= 4 m + 3
Now, the seating arrangement is for more than 75 people.
⇒ 4 m + 3 > 75
Hence, the required representation of the given situation is 4 m + 3 > 75
