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vlada-n [284]
3 years ago
6

First fourth and tenth terms a(n) = 5 + (n + 1) 1/6

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer:

a(4) = 5 5/6

a(10) = 6 5/6

Step-by-step explanation:

To find the 4th term, let n =4

a(n) = 5 + (n + 1) 1/6

a(4) = 5 + (4+1) 1/6

        =5+5 * 1/6

         = 5 + 5/6

          = 5 5/6



To find the 10th term, let n =10

a(n) = 5 + (n + 1) 1/6

a(10) = 5 + (10+1) 1/6

        =5+11 * 1/6

         = 5 + 11/6

          = 5 + 1 5/6

         = 6 5/6

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At the park there a pool shaped like a circle. A - shaped path goes around the pool. Its inner diameter is 18 yd and its outer d
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Answer:

46 gallons

Explanation:

First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

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Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to

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radius = 28 yd/2

radius = 14 yd

Then, the area of the outer circle is

\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}

In the same way, the radius of the inner circle is

radius = diameter/2

radius = 18 yd/2

radius = 9 yd

Then, the area is

\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}

So, the area of the path is

Area path = 615.44 yd² - 254.34 yd²

Area path = 361.1 yd²

Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}

Therefore, the number of gallons is 46 because we need to round the result to a whole number.

8 0
2 years ago
I need help how do u do this???
Volgvan
49. Straight lines always equally 180 degrees. And the angle directly below P is equivalent to the 131 angle so 180-131=49 (hope that was somewhat explained well enough because angles are hard to explain without directly showing on paper)
7 0
3 years ago
Read 2 more answers
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