You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is 1 ft:1.68 cm.
If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be?
The model will be 8
toothpicks tall.
Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and
they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to
the nearest whole number.
The model will be approximately
cotton swabs tall.

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

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.

the formula for converting absorbance to transmittance goes as:

a = log (1/t)  a = 2 - log(%t)  10^a = 1/t  t = 10^-a  %t = 100(10^-a)

so at the given value of a,   a = 1.5

%t = 100(10^-1.5)

%t = 3.16%