You have just jumped into the ocean after your boat began to sink. Luckily, you found an air tank before you jumped. Unluckily, the air tank has been used. The gauge says there is now exactly 30,000mL of air left in the tank. Fortunately, you know how to meditate and you’ve calmed yourself to the point where you are only taking normal, resting breaths. How many times can you inspire at this normal volume before the tank runs out?

60 times

Step-by-step explanation:

Please check the attached file for explanation.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)