60 square feet = 8640 square inches. Do you need to know how I got that?
Answer:
443.2m
Step-by-step explanation:
Given in the question that,
distance from building to me = 45m
angle of elevation = 82°
building is 123 m + x m high
If we closely observe then this situation make a right angle triangle and we will use trigonometry identity to solve the question.
Step 1
tan(82) = y / 45
y = 45tan(82)
y = 320.2 m
Step 2
Hence the height of building is y + 123m. So, plug the value of y in this
320.2 + 123 = 443.2
Answer: ![\sqrt[6]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2%7D)
Step-by-step explanation:
You know that the expression is ![\frac{\sqrt{2}}{\sqrt[3]{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%7D)
By definition we know that:
![\sqrt[n]{a}=a^{\frac{1}{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D)
You also need to remember the Quotient of powers property:
Therefore, you can rewrite the expression:
Finally, you have to simplify the expression. Therefore, you get:
![=2^{(\frac{1}{2}-\frac{1}{3})}\\=2^{\frac{1}{6}}\\=\sqrt[6]{2}](https://tex.z-dn.net/?f=%3D2%5E%7B%28%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B3%7D%29%7D%5C%5C%3D2%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%5C%5C%3D%5Csqrt%5B6%5D%7B2%7D)
Answer: -4
Step-by-step explanation:
Check your y-intercept on the graph, it is at 3. Now go up two units and then move three units to the right you will see that it lands on a point. This is called rise/run. The shading goes above the line so that means you will use this symbol: >. Also it is a dotted line. So your inequality would be:
y > 2/3x + 3
I hope this helps love! :)
