To find the circumference (c) use the formula (pi d) in other words 3.14 x diameter
To find the radius to find the diameter: 2R (double the radius)
To find radius 1/2 D (half the diameter)
Answer:
Part A: chosen method is by factoring
Part B: First rewrite the equation by writing -24 as a difference so you get x² -9x - 15x + 135 = 0. Then factor out the x and the -15 from the equation so you get x(x-9) - 15(x-9) = 0. Then factor out x-9 from the equation so you have (x-9)(x-15) = 0. Finally, set each expression to 0: x-9=0 and x-15=0 and then solve: x=9 and x=15
Part C: x=9, x=15
Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = ![\frac{h}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bc%7D)
c = ![\frac{h}{\text{tan}47}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B%5Ctext%7Btan%7D47%7D)
c = ![\frac{4.8}{\text{tan}47}](https://tex.z-dn.net/?f=%5Cfrac%7B4.8%7D%7B%5Ctext%7Btan%7D47%7D)
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = ![\frac{h}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bb%7D)
b = ![\frac{h}{\text{tan}37}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B%5Ctext%7Btan%7D37%7D)
b = ![\frac{4.8}{1.0724}](https://tex.z-dn.net/?f=%5Cfrac%7B4.8%7D%7B1.0724%7D)
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = ![\frac{h}{a}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Ba%7D)
a = ![\frac{h}{\text{tan}27}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B%5Ctext%7Btan%7D27%7D)
a = ![\frac{4.8}{0.5095}](https://tex.z-dn.net/?f=%5Cfrac%7B4.8%7D%7B0.5095%7D)
a = 9.42 m
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95
Answer:
D
Step-by-step explanation:
First add all the simple line up so;
![8 + 7 + 3 + 2 = 20](https://tex.z-dn.net/?f=8%20%2B%207%20%2B%203%20%2B%202%20%3D%2020)
Then use Pythagoras to work out the lengths of the remaining lines
![\sqrt{ {2}^{2} + {4}^{2} } = 2 \sqrt{5} \\ \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ 20 + \sqrt{10} + 2 \sqrt{5} = 27.63441362](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B2%7D%5E%7B2%7D%20%20%2B%20%20%7B4%7D%5E%7B2%7D%20%7D%20%20%20%3D%202%20%5Csqrt%7B5%7D%20%20%5C%5C%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%20%2B%20%20%7B1%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B10%7D%20%20%5C%5C%2020%20%2B%20%20%5Csqrt%7B10%7D%20%20%2B%202%20%5Csqrt%7B5%7D%20%3D%2027.63441362%20)
So to three decimal places it would be;
![27.634](https://tex.z-dn.net/?f=27.634)