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3. a scuba diver was exploring a reef 32.12 m below sea level. the diver ascended to the surface at a rate of 8.8 m/min.
(a) write an equation to model the situation. use the formula d = rt.
(b) explain why it is reasonable to write the distance, d, as a positive number.
(c) how long did it take the diver to reach the surface?

Step-by-step explanation:

32.12 meters below sea level. The diver ascended to the surface at a rate of 8.8 m/min. So the diver ascended 3.65 meters a minute.

a) Use d=rt. D=distance, t= minutes, r=rate

d=8.8t

b) The distance will never be a negative number because you can't have a negative distance to something.

c) 3.65 minutes for the diver to reach the surface.

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 .