Cell phone companies estimate that the total number of text messages (t) since the beginning of the month can be modeled by t=40×sqrt(x) where (x) is the number of days passed in the month. how many text messages were sent between the ninth and sixteenth day of the month?

The desired number is the difference between the number of messages sent by the 16th day and the number sent by the 9th day:

... n = t(16) - t(9)

... n = (40×√16) - (40×√9)

... n = 40×(4 - 3) = 40

40 text messages were sent between the ninth and sixteenth day of the month.

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:

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

include a picture of the drawing in order for me to

step-by-step explanation: