Answer:
Step-by-step explanation:
12). By applying Pythagoras theorem in the given right triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
x² = 7² + 7²
x² = 2(7)²
x = ![\sqrt{2(7)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B2%287%29%5E%7B2%7D%20%7D)
x = ![7\sqrt{2}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D)
13). By sine rule,
sin(60)° = ![\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{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7B9%5Csqrt%7B3%7D%20%7D%7By%7D)
y = ![\frac{18\sqrt{3} }{\sqrt{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B18%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D)
y = 18
By cosine rule,
cos(60)° = ![\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{1}{2}=\frac{x}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
x = ![\frac{y}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B2%7D)
x = ![\frac{18}{2}=9](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B2%7D%3D9)
14). By applying Pythagoras theorem in the given right triangle,
12² = x² + x²
144 = 2x²
72 = x²
x = √72
x = 6√2
Answer:
585.57
Step-by-step explanation:
Maya got 286.00
if lian got 192.84 less than we do 286-192.84 which is 93.16
if lian got 93.16, we add 113.25 to 93.16 to get rei's amount.
113.25 + 93.16 = 206.41
Now we add all their amounts, 286+93.16+206.41
585.57
Answer:
$276.68
Step-by-step explanation:
15% of 325.50 = 48.825
325.50 - 48.825 = 276.675
which is about $276.68
378 is the number since it is found to be divisible by not only 7 but also 3.
Answer:
im not a boy nor single but an fyi it doesn't show a photo just letting you know
Step-by-step explanation: