1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.
2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.
<h3>What does Thomas Edison's reference mean?</h3>
According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).
Perspiration literarily refers to the sweat that emanates as someone works hard.
Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.
Learn more about Thomas Edison at brainly.com/question/26568016
Step-by-step explanation:
y=2(x+3)² y=x²
x²=2(x²+9+6x)
x²=2x²+18+12x
0=x²+18+12x
x²+18+12x=0
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
![cos \theta = \frac{h}{L}](https://tex.z-dn.net/?f=%20cos%20%5Ctheta%20%3D%20%5Cfrac%7Bh%7D%7BL%7D%20)
Substituting figures, we have:
Let's make h subject of the formula.
![h = 4cos(23) = 3.68](https://tex.z-dn.net/?f=h%20%3D%204cos%2823%29%20%3D%203.68%20)
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer:
![6+\frac{i}{3}](https://tex.z-dn.net/?f=6%2B%5Cfrac%7Bi%7D%7B3%7D)
Step-by-step explanation:
![\frac{1}{3\imath}-(-6+\frac{2}{3\imath})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%5Cimath%7D-%28-6%2B%5Cfrac%7B2%7D%7B3%5Cimath%7D%29)
![\frac{1}{3\imath}+6-\frac{2}{3\imath}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%5Cimath%7D%2B6-%5Cfrac%7B2%7D%7B3%5Cimath%7D)
taking like terms together
![\frac{1}{3\imath}-\frac{2}{3\imath}+6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%5Cimath%7D-%5Cfrac%7B2%7D%7B3%5Cimath%7D%2B6)
taking LCM
![\frac{1-2}{3\imath}+6](https://tex.z-dn.net/?f=%5Cfrac%7B1-2%7D%7B3%5Cimath%7D%2B6)
![\frac{-1}{3\imath}+6](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B3%5Cimath%7D%2B6)
taking LCM
![\frac{-1+18\imath}{3\imath}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%2B18%5Cimath%7D%7B3%5Cimath%7D)
splitting the term
![\frac{-1+18\imath}{3\imath}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%2B18%5Cimath%7D%7B3%5Cimath%7D)
splitting the term
![-\frac{1}{3\imath}+\frac{18\imath}{3\imath}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%5Cimath%7D%2B%5Cfrac%7B18%5Cimath%7D%7B3%5Cimath%7D)
![-\frac{1\times3\imath}{3\imath \times \imath}+6](https://tex.z-dn.net/?f=-%5Cfrac%7B1%5Ctimes3%5Cimath%7D%7B3%5Cimath%20%5Ctimes%20%5Cimath%7D%2B6)
![-\frac{i}{3\imath^2}+6](https://tex.z-dn.net/?f=-%5Cfrac%7Bi%7D%7B3%5Cimath%5E2%7D%2B6)
we know that
![\imath^2=-1](https://tex.z-dn.net/?f=%5Cimath%5E2%3D-1)
putting this value in above equation
![\frac{\imath}{3}+6](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cimath%7D%7B3%7D%2B6)
4/9s of the mall per hour. 1/9 + 1/9 + 1/9 + 1/9