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vekshin1
3 years ago
15

The minute hand of a clock in a clock tower has a length of 36 inches.

Mathematics
1 answer:
Paul [167]3 years ago
4 0

45 i guessStep-by-step explanation:

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The sphere is centered in the cube. Find an expression for the volume of the cube outside the sphere
Nikolay [14]

Solution -

The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.

If the length of side of the cibe = a , then radius of the sphere is \frac{a}{2}

Volume of the cube = a³, volume of the sphere = \frac{4}{3}π(radius)³ = \frac{4}{3}π(\frac{a}{2})³

volume of the cube outside the sphere = volume of the cube - volume of the sphere

=  a^3 - \frac{4}{3}π(\frac{a}{2})³

= a^3 -\frac{1}{6} \pi a^{3}

=a³(1 - \frac{\pi }{6})


7 0
3 years ago
Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
Stells [14]

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

8 0
3 years ago
Which data set does this stem-and-leaf plot represent?
coldgirl [10]

Answer:

it's 40, 88, 82, 46, 56, 60, 17, 60, 27, 17

7 0
2 years ago
Josh invested $450 at 0.5% simple interest for 2 years. How much is his total account balance at the end of 2 years?
elena55 [62]

Answer:

The total account balance would be $454.50

Step-by-step explanation:

4 0
2 years ago
Is 7(w)=(7×2)w commutative property or associative property?
Umnica [9.8K]
I don't think those two expressions would even be equal unless w = 0. You can't just add in a 2 from nowhere.
6 0
3 years ago
Read 2 more answers
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