Answer: Each triangle:40 cm²
Kite : 80cm²
Step-by-step explanation:
The area of a triangle is
1/2bh
The height of the triangle is
h=1/2(10)=5cm
and the base is 16 cm.
The area of each triangle is
= 1/2(16)(5)=40cm^2
2. The total area of the kite is 2 times the area of one triangle.
= 2*40=80cm^2
Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:
By expanding the previous equation:
The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:
Since there is no accumulation within the tank, expression is simplified to this:
By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
, where .
The solution of this equation is:
The salt concentration after 8 minutes is:
The instantaneous amount of salt in the tank is: