Answer:6018
Step-by-step explanation:
Given Sequence

It represent an A.P. with
first term 
common difference 
So sum of 51 term
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
![S_{51}=\frac{51}{2}\times [2\times (-282)+(51-1)16]](https://tex.z-dn.net/?f=S_%7B51%7D%3D%5Cfrac%7B51%7D%7B2%7D%5Ctimes%20%5B2%5Ctimes%20%28-282%29%2B%2851-1%2916%5D)
![S_{51}=\frac{51}{2}\times [-564+800]](https://tex.z-dn.net/?f=S_%7B51%7D%3D%5Cfrac%7B51%7D%7B2%7D%5Ctimes%20%5B-564%2B800%5D)
![S_{51}=\frac{51}{2}\times [236]](https://tex.z-dn.net/?f=S_%7B51%7D%3D%5Cfrac%7B51%7D%7B2%7D%5Ctimes%20%5B236%5D)


Answer:
d = 6.246 m
Step-by-step explanation:
Given that,
The distance around a circular pool is 39.25 m.
We need to find how does the lifeguard have to walk from the edge of the pool to the centre of the pool. It means we need to find the radius r of the circle.
ATQ,
Circumference = 2πr = 39.25 m
r is radius

So, the required distance is 6.246 m.
Answer is 30
Multiply top of bottom of each fraction to get 30 on the bottom
So 2m/5•6 and 2m/6•5
Answer:
Write a system of equations to represent the situation.
d: Number of dance songs
r: Number of rock songs
d + r = 1075
d = 4 * r
Part A.
We are given the total volume of the amount of sand she will want to fill
we are also given the shape and dimensions of the cylinders
Total volume of the sand = 1,000
Cylinder= radius 4 in, and height 8 in
the volume of a cylinder is V=πr^2h
We will solve for the volume of the cylinders
V=πr^2hV=π(4)^2*(10)
V = π (16) * (10)
V = π 160
The volume of the cylinders she wants to fill is 502.65 in^3
How many cylinders will she need
Well,
1000/502.65 <span>≈ 1.98
She will need two cylinder cans to fill with the 1,000 in^3 of sand
Part B.
To see if this is true, we find the half of the original cylinder's radius and height then solve for the volume and compare
</span>V=πr^2h
<span>The height and radius of the original cylinders were 4 r and 8h
we will find half of that which will be : 2 r and 4 h
Now solve for the volume </span>V=πr^2h
V=π(2)^2* (4)
V=π (4)*(4)
V = π 16
V ≈<span> 50.26 inches ^3
The volume of the original cylinders was </span>502.65 in^3 and the volume of the new cylinders is 50.26 in^3... Clearly the volume of the new cylinders is NOT half of the original. Sally is not correct!
<span>
Hope this helps :)
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