You know the missing side of the bottom base is 6 because of the 30 60 90 special right triangle. The height is 6sqrt3 because of what i said above too, The area of a trapezoid is 1/2 b1+b2*h so 30+36*6sqrt3 is 396sqrt3 divided by 2 is 298sqrt3
Answer:
Grand coffee cup = 1469 gm
Jumbo coffee cup = 60 gm
Step-by-step explanation:
Let x be the grande coffee cup and y be the jumbo coffee cup.
Solution:
From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.
So, the equation is.
---------(1)
From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.
----------(2)
Solve the equation 1 for x.


---------(3)
Substitute
in equation 2.




Using cross multiplication.


y ≅ 60 gram
Substitute y = 60 in equation 3.



grams
Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm
Factorize the quadratic.

We have
, so

Now, both
and
(since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

So the solution to the inequality is the set
