Answer:
5. 6.1 units
6. 29.4 units
7. 12.8 units
8. 29.1 units
Step-by-step explanation:
5. We have the opposite and adjacent sides here for angle 21 degrees. So we need to use tangent, which is opposite / adjacent:

≈ 6.1 units
6. We have the opposite and hypotenuse sides here for angle 33 degrees. So we need to use sine, which is opposite / hypotenuse:

≈ 29.4 units
7. We have the opposite and adjacent sides here for angle 37 degrees. So we need to use tangent, which is opposite / adjacent:

≈ 12.8 units
8. We have the opposite and hypotenuse sides here for angle 31 degrees. So we need to use sine, which is opposite / hypotenuse:

≈ 29.1 units
Hope this helps!
Conjugate. i hoped that helped
Answer:
The domain is (x : 2 < x < 6}
The range is {y : 160 < y < 480}
Step-by-step explanation:
Assume that y is the total charge for x hours
∵ He charges $80 an hour
∵ The number of hours is x
∴ y = 80 x
x is the domain and y is the range
∵ He works between 2 to 6 hours a day
- That means x is between 2 and 6
∴ 2 < x < 6
∵ x represents the domain
∴ The domain is {x : 2 < x < 6}
Lets find the value of y at x = 2 and x = 6 to find the range
∵ x = 2
∴ y = 80(2)
∴ y = 160
∵ x = 6
∴ y = 80(6)
∴ y = 480
- That means y is between 160 and 480
∴ 160 < y < 480
∵ y represents the range
∴ The range is {y : 160 < y < 480}
Answer:PIE IS IRRATIONAL BECAUSE IT IS THE RATIO OF LENGTH OF CIRCUMFERENCE TO LENGTH OF DIAMETER OF CIRCLE. HENCE IT IS NEVER IN THE FORM OF INTEGER UPON INTEGER SO THIS RATIO OF LENGTH OF CIRCUMFERENCE TO LENGTH OF DIAMETER THAT IS PIE IS NOT RATIONAL SO IT IS IRRATIONAL.
Step-by-step explanation: