Answer:mr clark
Step-by-step explanation:
10×sine of 60 degrees=8.66 which is the same as B. you can check by finding the square root of 3 and then multiplying that by 5.
Answer:
93.39
Step-by-step explanation:
So the sum of exterior angles of the convex octagon is: 360 degrees
This means if we add all the equations that represent each angle, we can set it equal to 360 and solve for x
![(x+14) + (2x-3) + (3x+8) + (3x+16) + (2x-17) + (3x-4) + (3x-12) + (6x)](https://tex.z-dn.net/?f=%28x%2B14%29%20%2B%20%282x-3%29%20%2B%20%283x%2B8%29%20%2B%20%283x%2B16%29%20%2B%20%282x-17%29%20%2B%20%283x-4%29%20%2B%20%283x-12%29%20%2B%20%286x%29)
Group like terms
![(x+2x+3x+3x+2x+3x+3x+6x) + (14-3+8+16-17-4-12)](https://tex.z-dn.net/?f=%28x%2B2x%2B3x%2B3x%2B2x%2B3x%2B3x%2B6x%29%20%2B%20%2814-3%2B8%2B16-17-4-12%29)
Add like terms
![23x+2](https://tex.z-dn.net/?f=23x%2B2)
Now let's set the sum of exterior angles to 360
![23x+2 = 360](https://tex.z-dn.net/?f=23x%2B2%20%3D%20360)
Subtract 2 from both sides
![23x=358](https://tex.z-dn.net/?f=23x%3D358)
Divide both sides by 23
![x\approx 15.565](https://tex.z-dn.net/?f=x%5Capprox%2015.565)
So by looking at all these, it appears that 6x is the highest value, given that x is positive. The way I estimated, is approximately 15.5, whenever I saw an equation like x+14, I estimated it's about 2x, since 14 is not exactly, but close to 15.5. I did this with each polynomial given. You could also manually check each one
Original equation
6x
Subsitute
6(15.565)
Simplify
![93.39](https://tex.z-dn.net/?f=93.39)
Answer:
x=1.4 y=2.8
Step-by-step explanation:
Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.
Simplifying by combining x: 9.25x=12.95
Then you just divide 12.95 by 9.25: x=1.4
Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.
Answer:
v= 1.7in
Step-by-step explanation: