Answer:
x = -1/7
Step-by-step explanation:
Work is in attached sheet :)
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:
7 in
Step-by-step explanation:
Process of elimination. It can’t be 9 or 10, because 9+9=18 and 10+10=20 (they're more than 16). 8+8=16 exactly, but there’s no room in 16 for the width. Therefore, it’s 7 because 7+7=14
Answer:
The one next to Eve
Step-by-step explanation:
Susan Eve Kate Laura