City planner is making a scale model of his city for his office building. The model has a coordinate grid where each unit is 1 meter. On the grid, the tallest building is located at (3, 1), the city park is located at (3, 4), and the public library is located at (4, 4). The planner intends to convert the triangular space between the three buildings into apartments. What is the area of this space on the model? square meters (is not a pair)

(4, 1)

Step-by-step explanation:

For any rectangle or square located on the axes, match the pairs and find what's missing. 3 -- 3, 4 -- 4. unmatched are 4 and 1. 4 is x because it's missing from x and same for 1 and y.

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8

Step-by-step explanation:

1 + 1 + 3 + 3 = 8 meters

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step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).