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kompoz [17]
3 years ago
9

A spherical water tank has a diameter of 10 feet. How much water does it hold when half full? (Use 3.14 for p). . A. 261.66 cubi

c feet . . B. 314 cubic feet . . C. 523.33 cubic feet . . D. 2093 cubic feet
Mathematics
1 answer:
Margaret [11]3 years ago
4 0
If a spherical water tank has a diameter of 10 feet, it will hold approximately 261.66 cubic feet when it is half full. The correct answer is A. 
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The seagull is the furthest away from sea level
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Can someone please help me with this question?
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Sine = opposite / hypotenuse
If we think of the hypotenuse =1, then sine(C) = x / 1 or just "x"
The sine (A) = adjacent / hypotenuse = y / 1 or just "y"


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3 years ago
Write the equation of the line that passes through the points (-2,6) and (4, 6). Put
ivolga24 [154]

Answer:

y = 6

Step-by-step explanation:

Lets first try to find the slope between the two points. Note, if the slope is 0, then the line would be a horizontal line. If the slope is undefined, then it is a vertical line.

We can use the slope formula to find the slope between the two lines, but notice something. The slope formula is technically just the change in y divided by the change in x. Between the two points, the y-value does not change and the x-value does change. This means that the change in y is 0, but the change in x is not zero. This means that the slope would be 0, resulting in a horizontal line.

Now, we know that the resulting line is horizontal, meaning it will take the form of y = _. Since the y-values for both of the points is 6, it makes sense to say that the equation for the line would be y = 6.

I hope this helps. Happy studying.

7 0
3 years ago
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s
valkas [14]
<h2>Answer with explanation:</h2>

Rolle's Theorem states that:

If f is a continuous function in [a,b] and is differentiable in (a,b)

such that f(a)=f(b)

Then there exist a constant c in between a and b i.e. c∈[a,b]

such that:  f'(c)=0

Here we have the function f(x) as:

f(x)=4x^2-8x+3 where x∈[-1,3]

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Also,

f(-1)=15

(Since,

f(-1)=4\times (-1)^2-8\times (-1)+3\\\\f(-1)=4+8+3\\\\f(-1)=15   )

and f(3)=15

( Since,

f(3)=4\times 3^2-8\times 3+3\\\\f(3)=36-24+3\\\\i.e.\\\\f(3)=15 )

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Hence, there will exist a c∈[-1,3] such that f'(c)=0

f'(x)=8x-8\\\\i.e.\\\\f'(x)=0\\\\imply\\\\8x-8=0\\\\i.e.\\\\x-1=0\\\\i.e.\\\\x=1

Hence, the c that satisfy the conclusion is: c=1

7 0
3 years ago
What is the factor of dialation
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Answer:

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