Occasionally you may encounter an angle that's given in the old fashioned degrees/minutes/second form, as described in the box on page 286 of the textbook. a degree is divided into 60 minutes (or minutes of degree), and a minute (of degree) is divided into 60 seconds. let a = 3 degree 5'17". then a = degrees (in decimal notation) and a = radians. again, enter your answers showing at least 4 digits.

degrees.

rad  or

rad

Step-by-step explanation:

Let's start writing some equivalences.

1 degree = 60 minutes = 60'

1 minute = 1' = 60 seconds = 60''

Therefore,

1' = 60''  ⇒ 60' = 3600'' ⇒ 1 degree = 3600''

For a = 3 degree 5'17'' we are going to transform the minutes and the seconds into degrees.

60' = 1 degree ⇒

5' = degree

For the seconds :

3600'' = 1 degree ⇒

17'' = degree

Finally :

degrees

degrees.

For radians, the equivalence is :

360 degrees = 2π rad

For a = 3.0881 degrees ⇒

360 degrees = 2π rad

3.0881 degrees = rad

rad

or in terms of π ⇒ rad

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)