Kirby ran three-fourths of a half mile and dropped out of the 800 meter race. Her
pace was 12 miles an hour until the point she dropped out of the race. About how
many minutes did she run approximately?

1.88 minutes

Step-by-step explanation:

This question can be solved using speed, distance and time concept along-with use of computing fractions.

Given

Distance ran by Kirby = 3/4 of half mile

                                    = 3/4 of 1/2 mile = 3/4 * 1/2 mile = 3/8 mile.

Speed of Kirby until she dropped out of race = 12 miles/hour

Formula to calculate time = Distance/Time

substituting value of speed of Kirby and distance covered by Kirby

Time =

Since one hour has 60 minutes 1/32 hour = (1/32) * 60 minutes = 1.88 minutes

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²