Otto Toyom builds toy cars and toy trucks. Each car needs 4 wheels, 2 seats, and 1 gas tank. Each truck needs 6 wheels, 1 seat, and 3 gas tanks. His storeroom has 36 wheels, 14 seats, and 15 gas tanks. He needs to decide how many cars and trucks to build so he can maximize the amount of money he makes when he sells them. He makes $1.00 on each car and $1.00 on each truck he sells. (This is a very, very small business, but the ideas are similar for much larger enterprises.) We will divide this problem into subproblems. a) Otto's first task is to figure out what his options are. For example, he could decide to make no cars and no trucks and just keep his supplies. On the other hand, because he likes to make trucks better, he may be thinking about making five trucks and one car. Would this be possible? Why or why not? What are all the possible numbers of cars and trucks he can build, given his limited supplies? This will be quite a long list. An easy way to keep your list organized and find some patterns is to plot the points that represent the pairs of numbers in your list directly on graph paper. Use the x–axis for cars and the y–axis for trucks. Make a fairly large, neat first quadrant graph. (Why the first quadrant?) We will need to use this graph later in this problem and in the next one. b)In part (a) you figured out all the possible combinations of numbers of cars and trucks Otto could make. Which of these give him the greatest profit? Explain how you know your answer is right. You have to convince Otto, who likes trucks better. c) New scenario: Truck drivers have just become popular because of a new TV series called "Big Red Ed. " Toy trucks are a hot item. Otto can now make $2.00 per truck though he still gets $1.00 per car. He has hired you as a consultant to advise him, and your salary is a percentage of the total profits. What is his best choice for the number of cars and the number of trucks to make now? How can you be sure? Explain.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)

the answer is 13/48

step-by-step explanation: