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Fudgin [204]
3 years ago
8

-7,-12,-17,-22,-27 find the nth term

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

-2 - 5n

Step-by-step explanation:

-7, -12, -17, -22, -27.....

Arithmetic Sequence

first term a = -7

difference = d = -12 - (-7) = -12 + 7 =  (-5)

nth term = a + (n-1)d

              =  -7 + (n-1)*(-5)

              = -7 + (-5)*n -1 * (-5)

             = -7 - 5n + 5

            = -2 - 5n

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Step-by-step explanation:

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Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of ​​the circular sector using the following equation.(c in the second attached image)

A=\frac{R^2}{2} (\alpha -sin\alpha )

\alpha =2arccos(\frac{d}{R})

3. observing the attached images we replace the values ​​in the equations and find the area of ​​the circular sector, remember that you must transform the angle to radians

\alpha =2arccos(\frac{5}{7})=88.83

A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2

4.we calculate the area of ​​the total circle (At), then subtract the area of ​​the circular sector (Ac) to find the area occupied by water (Aw)

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Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of ​​the water over the total area of ​​the tank

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Step-by-step explanation:

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