Answer: The correct option is (C). an exterior angle.
Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.
Let ABC be a triangle as shown in the attached figure.
∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.
Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.
∠ACD is called the exterior angle of ΔABC.
Therefore, the newly created angle is an exterior angle.
Thus, option (C) is correct.
Answer:
The area of the base is = 5.2 cm²
Step-by-step explanation:
<em>First, we need to know the formula to calculate volume:</em>
<em>if we change to our equations to the values we know:</em>
<em>Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:</em>
<em>We calculate the operation=</em>
<em>And the answer is 5.2 cm²</em>
<em>Let me know if you have any question :D</em>
Answer:
P=2A+B where:
A= # of pounds of American blend and
B= # of pounds of British blend
Step-by-step explanation:
This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)
So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.
So this is the data the problem gives us:
"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:
"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.
The next part states: "Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound." Now, we are interested in this part since it's talking about profits, which is what we need to maximize.
We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:
And the profit for the British blend is found by using the following equation:
so the total profit is found by adding the two given profits, so we get:
or
which can be simplified to:
P=2A+B
which is our objective function.
Answer:
136x+100
Step-by-step explanation:
Hope this helps!