Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has three fertilizer types, four temperature zones, and six water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration.

72

Step-by-step explanation:

Calculation to Determine the number of different lawn plots she needs

Using this formula

Number of different lawn plots needed=Fertilizer type* Temperature zone *Water treatment

Let plug in the formula

Number of different lawn plots needed=3*4*6

Number of different lawn plots needed=72

Therefore the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration will be 72

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).