A3-gallon cylindrical water container has a height of 1.5 feet and a radius of 3.5 inches. nate fills up a 2-gallon jug from the container before going on a hike. if the container was full before nate filled the jug, what is the height of the water in the container after nate filled the jug?
a. 0.5 inchesb. 3 inchesc. 6 inchesd. 12 inches

c) 6 inches

Step-by-step explanation:

Water the container holds = 3 gallon

h = Height of water = 1.5 ft = 1.5×12 = 18 inches

Inches per gallon of water in the container =

Decrease in height of water as a result of taking 2 gallons out = 2×6 = 12 inches

Final height of water in tank = 18-12 = 6 inches

∴ Water in the container after Nate filled the jug is 6 inches

i can't see the picture : /

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .