Answer:
Step-by-step explanation:
Given triangle ABC is a right triangle.
m∠ACB = 60°
m∠CAB = 30°
m(AC) = 1 unit
A). Shorter side of the given triangle = Side BC
By applying cosine rule,
cos(∠C) = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
cos(60°) = ![\frac{BC}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAC%7D)
BC = ![\frac{1}{2}(AC)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28AC%29)
BC = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Length of the shorter side = 0.5 units
B). Longer side of the given triangle = side AB
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
1² = AB² + ![(\frac{1}{2})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%5E2)
1 = AB² + ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
AB = ![\sqrt{1-\frac{1}{4}}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%5Cfrac%7B1%7D%7B4%7D%7D)
AB = ![\sqrt{\frac{3}{4}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B3%7D%7B4%7D%7D)
AB = ![\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
Length of the longer side = ![\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
y=mx+b
slope=m
m=1/2
b=6
start at 6 on x axis
go rise/run
^1 right 2 dot it go up one right 2 repeat till no room
Hhhhhhhhhhhhhhhhhhh the answer is 8
answer:
yes, because they have a common difference and it makes sense. in order to determine if this is a function, you would have to find their difference for each column. the x column has a difference of 2 for all. similarily, the y column has a difference of 2 for all. therefore, it is a function.
<em>-- please mark the brainliest and click the thanks button if correct :)</em>
<em></em>
<span>[(7 x 6) + 15]2 + 8
(42+15)2+8
57*2+8
114+8
122
HOPE THIS HELPS!!</span>