Where does the pythagorean identity sin^2 + cos^2=1 come from? how does it relate to right triangles?

Plz (02.03 mc) which sequence of transformations will change figure pqrs to figure p′q′r′s′? (5 points) select one: a. counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis b. counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis c. counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis d. counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis

Adam plans to choose a video game from the section of the store where everything is 75% off. he writes the expression d-0.75d to find the sale price of the game if the original price is d dollars. gena correctly writes another expression, 0.25d, that will also find the sale price of the game if the original price is d dollars. use the drop down menus to explain each part of adams and rena's expression

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.