this figure consists of a rectangle, a semicircle, and a quarter circle. what is the perimeter of this figure?

use 3.14 for π . 22.55 m 27.55 m 29.70 m 37.55 m

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of semicircle plus the perimeter of quarter circle plus two times the length of plus two times the length of

Find the perimeter of semicircle

we know that

The circumference of a semicircle is equal to

we have

substitute

Find the perimeter of a quarter of circle

we know that

The circumference of a quarter of circle is equal to

we have

substitute

Find the perimeter of the figure

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.  

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).