The figure below shows a shaded rectangular region inside a large rectangle: (pic) what is the probability that a point chosen inside the large rectangle is not in the shaded region? a) 8% b) 16% c) 50% d) 84%

D

Step-by-step explanation:

Probability of falling NOT in the shaded region is "area of white region" divided by "area of whole rectangle (big one)".

Area of whole rectangle:

Area of rectangle = length * width = 10 * 5 = 50

Area of White Region:

First, area of shaded region = length * width = 4 * 2 = 8

Now,

Area of white region = area of whole rectangle - area of shaded rectangle

Area of white region = 50 - 8 = 42

Hence, probability is

0.84 = 84%

Answer choice D is right.

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).