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seropon [69]
3 years ago
15

A triangle has a base that is increasing at a rate of 18 mm per minute with the height being held constant. What is the rate of

change of the area of the triangle if the height is 7 mm
Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

<h2> 63mm/min</h2>

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

A = 1/2bh

Rate of change of area is expresssed as dA/dt = dA/db * db/bt

db/dt is the rate at which the base is increasing.

Given db/dt = 18mm/min

A = 1/2*7b

A = 7b/2

dA/db = 7/2

The rate at which the area is changing dA/dt = dA/db * db/bt

dA/dt = 7/2 * 18

dA/dt = 7*9

dA/dt = 63mm/min

<em>Hence the rate at which the area of the triangle is changing is  63mm/min </em>

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Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x - \frac{1}{2}) = x - \frac{1}{2} + \frac{1}{2} = x

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3 years ago
If s = 1 over 3 unit and A = 18s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
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The test scores of 40 students are listed below. Find P85.
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Step-by-step explanation:

Percentile is a statistic in which the an element at a certain percentage position is determined. To calculate the percentiles accurately, it is important that the data is present in the ascending order. Percentile is an important concept in data analysis. Interestingly, 50th percentile is the median of the data. The difference between the 75th and the 25th percentile is the interquartile range. To find the 85th percentile of the data, calculate 85% of 40, which is the number of elements in the data set. 40 * 85/100 = 34. The number on the 34th position is the 85th percentile of the data. It can be observed that 89 is on the 34th position. Therefore, Option A is the answer!!!

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