The quotient of 12 and the product of 5 and t is:

Answer:
Let x pound of the sugar to make 20% syrup.
As per the statement:
Mom wants to make 5 Ibs of the sugar syrup.
We have to find how much water and sugar does she need to make 20% syrup.
By definition of proportion; we have

Simplify:

Multiply both sides by 5 we get;

Remaining = 5 -1 = 4 pounds of water
Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.
Answer: 12/13....Remember the shortcut SOH CAH TOA ——> sin = opposite/hypotenuse, cos = adjacent/hypotenuse, and tan = opposite/adjacent...know that for this problem tells you that cos = 5/13 and tan = 12/5 so thus sin = 12/13 (opposite = numerator of tan, hypotenuse = denominator of cos)
The function f(t) = 7 cos(pi over 4t) + 12 represents the tide in Light Sea. It has a maximum of 19 feet when time (t) is 0 and a minimum of 5 feet. The sea repeats this cycle every 8 hours
To find the height of the tide after 2 hours, we plug in 2 for t and find out f(2)



We know that cos (pi/2) is 0

So f(2)= 12
After two hours, the height of the tide is 12 feet