Superman can run so fast that he can runon water as well as land, and he never getstired. His average running speed is Mach 4, or4 times the speed of sound. For fun, hedecides to run around the Earth's equator, adistance of 40.075 kilometers. If the speed ofsound is 340.29 meters per second, and thereare 1,000 meters in a kilometer, approximately how many hours will it take forSuperman to complete his run?

It will take Superman 32.71 hours or 32 hours and 43 minutes

Step-by-step explanation:

Convert kilometers to meters

40,075 kilometers = 40,075,000 meters

Cross multiply

340.29x = 40,075,000

x = 117,767.19 seconds

Convert seconds to hours

Cross multiply again

3600x = 117767.19

x = 32.71 hours or 32 hours and 43 minutes

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step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.