Answer:
<h2>The answer is option C</h2>
Step-by-step explanation:
<h3>
![\frac{ {6}^{ - 3} }{ {6}^{5} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B6%7D%5E%7B%20-%203%7D%20%7D%7B%20%7B6%7D%5E%7B5%7D%20%7D%20)
</h3>
Using the rules of indices
Since the bases are the same and are dividing we subtract the exponents
That's
<h3>
![\frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Ba%7D%5E%7Bx%7D%20%7D%7B%20%7Ba%7D%5E%7By%7D%20%7D%20%20%3D%20%20%7Ba%7D%5E%7Bx%20-%20y%7D%20)
</h3>
So we have
<h3>
![\frac{ {6}^{ - 3} }{ {6}^{5} } = {6}^{ - 3 - 5} = {6}^{ - 8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B6%7D%5E%7B%20-%203%7D%20%7D%7B%20%7B6%7D%5E%7B5%7D%20%7D%20%20%3D%20%20%7B6%7D%5E%7B%20-%20%203%20-%205%7D%20%20%3D%20%20%7B6%7D%5E%7B%20-%208%7D%20)
</h3>
Using the rules of indices
<h3>
![{x}^{ - y} = \frac{1}{ {x}^{y} }](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B%20-%20y%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Bx%7D%5E%7By%7D%20%7D%20)
</h3>
So we have the final answer as
<h2>
![\frac{1}{ {6}^{8} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%7B6%7D%5E%7B8%7D%20%7D%20)
</h2>
Hope this helps you
Answer:
1.5w = s
Step-by-step explanation:
Answer:
x = 10°
Step-by-step explanation:
Step 1:
92° + x° + 78° = 180° Supplementary Angles
Step 2:
x° + 170° = 180° Combine Like Terms
Step 3:
x° = 180° - 170° Subtract 170° on both sides
Answer:
x = 10°
Hope This Helps :)
Answer:
61.08m
Step-by-step explanation:
Let " l " be the length of the rope and " θ " the angle at which it is raised. In other words:
As you can see, there has been made a right angle triangle. So:
![sin70 = \frac{h}{l} \\ h = l \times sin70 \\ h = 65 \times 0.9397 = 61.08 \\ h = 61.08](https://tex.z-dn.net/?f=sin70%20%3D%20%20%5Cfrac%7Bh%7D%7Bl%7D%20%20%5C%5C%20h%20%3D%20l%20%5Ctimes%20sin70%20%5C%5C%20h%20%3D%2065%20%5Ctimes%200.9397%20%3D%2061.08%20%5C%5C%20h%20%3D%2061.08)
So the kite is approximately 61.08m above the ground.
In order to find the sin70° i used a calculator.