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Softa [21]
2 years ago
5

The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the​ sphere? Use 3.14 for .

Mathematics
1 answer:
Ronch [10]2 years ago
6 0

Answer: 11\ ft

Step-by-step explanation:

Given

The volume of a sphere is 5572.45\ ft^3

The volume of sphere with radius r is given by

\Rightarrow \dfrac{4\pi r^3}{3}

Insert the values

\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft

Therefore, the radius is 11\ ft

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A system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?
OLga [1]

Answer:

The answer that gives the best estimate is (1,1)

Step-by-step explanation:

i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y

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 y = m_{1} x + c_{1}    ⇒    y = m_{1} x - 1 . It can also be seen from this graph that the

 line passes through the point (2 , 2). Substituting these values for x and y  

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ii) As can be seen on the other line the intercept on the y axis is at (0,2). So

  the y  intercept or c_{2} = 2. Therefore the equation for this line can be  

  written  as  y = m_{2}x + c_{2}    ⇒    y = m_{2} x + 2 . It can also be seen from this  

   graph that  the  line passes through the point (1 , -1). Substituting these

   values for x and  y   respectively we get  1 = 1m_{2} + 2    ∴ m_{2}  = -1 .  The

   equation of the second line  can be written as y = - x + 2   or x + y = 2

iii) Solving the two equations of the two lines respectively as found in i) and

  ii)  we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and  

  when we add this to equation in i) we get 5y = 4 which means that y = 0.8.

  If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.

iv) Therefore we get the solution of the two lines, which is the intersection

    of the two lines as (1.2, 0.8). So the answer that gives the best estimate

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6 0
3 years ago
what do you notice about the corresponding coordinates of the preimage and image after a reflection across the x-axis
valkas [14]
The x remains the same while the y changes sign. So if it’s (1,4) the reflection will be (1,-4). Hope fully that helps.
8 0
3 years ago
For a given input value x, the function f outputs a value y to satisfy the following equation.
olasank [31]
F(x)=5x-26 is your correct answer
6 0
2 years ago
78 is 15% of what #?
nirvana33 [79]
1. 78 = 0.15x
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ur answer is : x = -2

3. 3y - 4x + 5 = 0
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6 0
2 years ago
What is the next step you should take?<br> 1 + 18n = 33
Ivahew [28]

Answer:

You need to carry the one over by subtracting 1 from 33. The new equation will be 18n = 32

3 0
2 years ago
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