Can anyone explain these?
a rectangle has a perimeter of 36 in. the length and width are scaled by a factor 2.5. what is the perimeter of the resulting rectangle?

a triangle has an area of 36 cm². the base and height are scaled by a factor of 5.
what is the area of the resulting triangle?

two similar solids have a scale factor of 5: 3 . what is the ratio of their volumes, expressed in lowest terms?

a cylinder has a height of 30 ft and a volume of 63,679 ft³. what is the radius of the cylinder?

a brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. mishka uses some of the broth to cook and now the broth left in the can is 6 cm high. how much broth did mishka use?

Which of the fallowing best completes the sequence 5,10,15, a) 30 b) 22 c)25 d)35

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.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?