Answer:
Reference angle is and tan
= -1
Step-by-step explanation:
lies in the 4th quadrant
and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.
and reference angle for is
2π- =
and tan = -tan
= -1
Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.
Answer:
Perimeter of rectangle = ⇒ feet
Step-by-step explanation:
Given:
Length of a rectangular sand box =
Width of the box =
Perimeter of a rectangle =
where represents length of rectangle and
represents width of the rectangle.
Substituting values given for length and width.
Perimeter of sand box =
Simplifying by adding fractions:
⇒ (Adding whole numbers and fractions separately)
⇒ feet
Whole number 8 can be written as
⇒ feet
To add fractions we take LCD for the denominators 3,4,1.
LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.
Making denominators =12 by multiplying numerator an denominator with the corresponding numbers
⇒ feet
⇒ feet
Then we simply add numerators.
⇒ feet
⇒ feet
⇒ feet
⇒ feet
Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.
⇒ feet
Simplifying fractions to simplest form.
⇒ feet
Perimeter =⇒ feet (Answer)
