A state has a perimeter of 314 miles. (A) (2 points) If you…
A state has a perimeter of 314 miles. (A) (2 points) If you don’t know anything about the shape of the state, then what shape would have the largest possible area? _______ (2 points) What is the largest area that the state could have if you do not know the shape of the state? Use the shape that you stated in the first part of this question. Only state the numerical value without units. _______ (B) (2 points) If you know that the state is in the shape of a rectangle, then what is the largest area that the state could have? State the numerical value of the area; do not sate the units. _______ (1 point) State the units for the area of the state: _______ (C) (1 point) In this question, assume the state has an area of 156 square miles and the shape of the state is a rectangle. What is one set of possible dimensions of the area, length and width, for the given perimeter of 314 miles. _______ (D) (2 points) Is it possible that the area of the state is 100 square miles? Briefly explain. Below are four answer choices. Type the letter that best describes your answer. ANSWER CHOICES: A. Yes, 100 square miles is less than the perimeter so it is possible. B. Yes, if the length of one side is less than 0.64 miles. C. Yes, because 100 square miles is less than the largest possible area of all shapes. D. No, 100 square miles is larger than all of the possible areas. _______
Read DetailsHadley buys coffee and doughnuts on different days and alway…
Hadley buys coffee and doughnuts on different days and always leaves the same tip. On Monday, he paid $3.25 for one cup of coffee, two doughnuts, and tip. On Tuesday, he paid $2.40 for one cup of coffee, one doughnut, and tip. On Wednesday, he paid $2.85 for two cups of coffee, one doughnut, and tip. If the tip is always the same, determine the cost of a cup of coffee, the cost of a doughnut, and the tip.Part a) Identify the unknown variables. Part b) Write the system of linear equations. Part c) Change into matrix form and solve using Gauss-Jordan Elimination. Clearly state each step in between each matrix. Part d) State your final answer in a complete sentence. *Only type in Part a and d into the answer box below.*
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