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Sidana [21]
3 years ago
10

Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0
It is known that the volume of the cone that would perfectly fit in the cylinder is equal is to 1/3 of the volume of the cylinder. In the given above, we do not make use of the diameter anymore. We directly divide the given volume of cylinder by 3 giving us the answer of 7. Thus, the cone has a volume of 7 units cube. 
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Negative 3 is twice as large as a number,h
alina1380 [7]

Answer:

negative 6 is the answer

Step-by-step explanation:

8 0
4 years ago
Simplify. -4 + 12 + (-9) *<br><br> PLEASE HELP REEEE
timama [110]

Step-by-step explanation:

= -4 + 12 + (-9)

= -4 + 12 - 9

= -4 + 3

= -1

6 0
3 years ago
URGENT HELP PLEASE!
Vaselesa [24]

Answer:

(a) x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b) x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi.

(a)

\sqrt{2}\sin 2x=1

\sin 2x=\dfrac{1}{\sqrt{2}}

\sin 2x=\dfrac{\pi}{4}

2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}     [\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]

x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b)

\csc^2 x-\csc x-2=0

\csc^2 x-2\csc x+\csc x-2=0

\csc x(\csc x-2)+1(\csc x-2)=0

(\csc x+1)(\csc x-2)=0

\csc x=-1\text{ or }\csc x=2

\sin x=-1\text{ or }\sin x=\dfrac{1}{2}         [\because \sin x=\dfrac{1}{\csc x}]

x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}

Therefore, x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}.

5 0
3 years ago
How do I solve this? help please! xx
Anna35 [415]
This graph is composed of four straight line segments.  You'll need to determine the slope, y-intercept and domain for each of them.   Look at the first segment, the one on the extreme left.  Verify yourself that the slope of this line segment is 1 and that the y-intercept would be 0 if you were to extend this segment all the way to the y-axis.  Thus, the rule (formula, equation) for this line segment would be f(x)=1x+0, or just f(x)=x, for (-3,-1).  Use a similar approach to write rules for the remaining three line segments.

Present your answer like this:
               x, (-3,-1)
f(x) =      -1, (-1,0)
               one more here
               one more here

5 0
3 years ago
Help me please!!!!!!!!!!!!!!!
shutvik [7]

Answer:

12 20 15

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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