Pythagorean theorem:

alex leaves home, travels 5 miles east, and arrives at the library. he leaves the library and travels 3 miles north to a friend's house. this trip can be plotted on the coordinate plane, where home is the point (0, 0). alex wants to find out how far his house is from his friend's house and uses the distance formula. which other formula can he use?

a) 5² - 3²
b) 5² + 3²
c) √5² - 3²
d) √5² + 3²

hint: the path that alex traveled is a right triangle.

explain your answer clearly and thoroughly. you! : d

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

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).