Sam is an apprentice carpenter whose boss asked him to construct a perfectly rectangular frame with a diagonal brace. when sam had finished his boss measured the width of the frame to be 50 cm, the length to be 90 cm and the diagonal brace to be 100 cm. was sam's boss happy with his work? use mathematics to explain how you determined your answer

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Which of the following is an example of a rational number? a. π b. √ 9 c. √ 8 d. 3.8362319

Point r divides in the ratio 1 : 5. if the coordinates of e and f are (4, 8) and (11, 4), respectively, what are the coordinates of r to two decimal places?