Answer:
a = 18 units
b = 9√3 units
Step-by-step explanation:
By applying sine rule in the given triangle,
sin(30°) = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\frac{1}{2}=\frac{9}{a}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B9%7D%7Ba%7D)
a = 18 units
Now apply cosine rule in the given triangle,
cos(30°) = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\frac{\sqrt{3}}{2}=\frac{b}{a}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7Bb%7D%7Ba%7D)
![\frac{\sqrt{3}}{2}=\frac{b}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7Bb%7D%7B18%7D)
b = ![\frac{18\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B18%5Csqrt%7B3%7D%20%7D%7B2%7D)
b =
units
Well those are absolute values
absolute values are<span> term used in math to indicate the distance of a point from its origin ( which is zero )
so number four would be 3 because it is 3 points away from zero on the number line. number five would be 5 because it is 5 points away from zero on the number line. I hope this makes sense</span>
Answer:
$766.48
Step-by-step explanation:
area = length × width
area = 11 m × 8 m = 88 m²
cost = 88 m² × $8.71/m²
cost = $766.48