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KatRina [158]
3 years ago
5

The radius of the base of the cylinder is 10 centimeters,and its height is 20 centimeters.A cone is used to fill the cylinder wi

th water.the radius of the cones base is 5 centimeters and its height is 10 centimeters
Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer:

r u wanting the volume for each shape or what?

Step-by-step explanation:

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120 times 1/2<br>Do not divide, whole number times fraction.​
andreyandreev [35.5K]

Answer:

60

Step-by-step explanation:

write 120 like this: 120/2

Then just multiply the numerators.

Which gets you 120/2.

Then change it it to a mixed fraction which is 60.

7 0
3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer
lyudmila [28]

If

f(\theta)=10\cos\theta+5\sin^2\theta

then the derivative is

f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta

Critical points occur where f'(\theta)=0. This happens for

-10\sin\theta+10\sin\theta\cos\theta=0

-10\sin\theta(1-\cos\theta)=0

\implies-10\sin\theta=0\text{ or }1-\cos\theta=0

In the first case, we find

-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi

In the second,

1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi

So all the critical points occur at multiples of \pi, or n\pi. (This includes all the even multiples of \pi.)

3 0
3 years ago
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
Read 2 more answers
Geometry math question no Guessing and Please show work
galina1969 [7]

here ZLS defines a line segment with end points Z and S.

so it represents line segment ZS

So option B is correct

4 0
3 years ago
Please help i need it
vichka [17]

Answer:

x = 100

Step-by-step explanation:

The area of the left square is 3600

A =s^2

3600 = s^2

Taking the square root of each side

60 =s

The area of the right square is 1600

A =s^2

1600 = s^2

Taking the square root of each side

40 =s

Adding the lengths

60+40 =x

100 =x

3 0
3 years ago
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