Keith modeled the growth over several hundred years of a tree population by estimating the number of the
trees pollen grains per square centimeter that were
deposited each year within layers of a lake's sediment.
He estimated there were 310 pollen grains per square
centimeter the first year the grains were deposited.
with a 1% annual increase in the number of grains
per square centimeter thereafter. Which of the
following functions models Pér), the number of
pollen grains per square centimeter 1 year after the
first year the grains were deposited?

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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).

b.   e = 7.5h

hope this , lovely!

any of them that add up to 180 degrees.