Answer:
The value of angle is 56.9°
Step-by-step explanation:
First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :
![{c}^{2} = {a}^{2} + {b}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20)
![let \: a = 8.25 \\ let \: b = 6.45](https://tex.z-dn.net/?f=let%20%5C%3A%20a%20%3D%208.25%20%5C%5C%20let%20%5C%3A%20b%20%3D%206.45)
![{c}^{2} = {8.25}^{2} + {6.45}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7B8.25%7D%5E%7B2%7D%20%20%2B%20%20%7B6.45%7D%5E%7B2%7D%20)
![{c}^{2} = 68.0625 + 41.6025](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%2068.0625%20%2B%2041.6025)
![{c}^{2} = 109.665](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20109.665)
![c = \sqrt{109.665}](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B109.665%7D%20)
![c = 10.47cm \: (4s.f)](https://tex.z-dn.net/?f=c%20%3D%2010.47cm%20%5C%3A%20%284s.f%29)
In order to find θ, you have to apply Sine Rule :
![\sin(θ) = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20%5Csin%28%CE%B8%29%20%20%3D%20%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20)
![let \: oppo. = 8.77 \\ let \: hypo. = 10.47](https://tex.z-dn.net/?f=let%20%5C%3A%20oppo.%20%3D%208.77%20%5C%5C%20let%20%5C%3A%20hypo.%20%3D%2010.47)
![\sin(θ) = \frac{8.77}{10.47}](https://tex.z-dn.net/?f=%20%5Csin%28%CE%B8%29%20%20%3D%20%20%5Cfrac%7B8.77%7D%7B10.47%7D%20)
![θ = { \sin( \frac{8.77}{10.47} ) }^{ - 1}](https://tex.z-dn.net/?f=%CE%B8%20%3D%20%20%7B%20%5Csin%28%20%5Cfrac%7B8.77%7D%7B10.47%7D%20%29%20%7D%5E%7B%20-%201%7D%20)
![θ = 56.9 \: (1d.p)](https://tex.z-dn.net/?f=%CE%B8%20%3D%2056.9%20%5C%3A%20%281d.p%29)
Answer: B
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Simplify the following:
8 (6 + 5)/2^2 + 6×2
8 (6 + 5)/2^2 = (8 (6 + 5))/2^2:
(8 (6 + 5))/2^2 + 6×2
2^2 = 4:
(8 (6 + 5))/4 + 6×2
6 + 5 = 11:
(8×11)/4 + 6×2
8/4 = (4×2)/4 = 2:
2×11 + 6×2
2×11 = 22:
22 + 6×2
6×2 = 12:
22 + 12
| 2 | 2
+ | 1 | 2
| 3 | 4:
Answer: 34
Answer: 36 miles.
Step-by-step explanation: Ratio of 1 to 0.6 means 1:0.6 or
.
So, if to Moncton is 60km:
![\frac{1}{0.6}=\frac{60}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B0.6%7D%3D%5Cfrac%7B60%7D%7By%7D)
![y=60.0.6](https://tex.z-dn.net/?f=y%3D60.0.6)
y = 36
<u>To Moncton, it is </u><u>36 miles</u><u>.</u>