Find the surface area of the pyramid. The side lengths of the base are equal.

Mathematics

2 answers:

Anika [276]2 years ago

8 0

Answer:

204

Step-by-step explanation:

alukav5142 [94]2 years ago

5 0

Answer:

The answer is 204 square cm.

Step-by-step explanation:

You are asking for the surface area, and while calculating the surface area you will multiply the quantities.

Surface Areas: 17 cm multiply 12 cm

17 X 12 = 204

The answer is 204 sq. cm

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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%

Mamont248 [21]

Answer:

a. $A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\$

b. $\frac{dA}{dt}= -11.25 \frac{mg}{h}$

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

$A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\$

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

$\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}$