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SashulF [63]
3 years ago
13

a cylindrical paint can has a diameter of 12 centimeters and a hieght of 16 centimeters. What is the colsest to the volume of th

e paiint can in cumbic meters
Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer: 1809.792\ m^3

Step-by-step explanation:

Given

The diameter of the cylinder is d=12\ cm

height of the cylinder is h=16\ cm

The volume of a cylinder is given by

V=\pi r^2h

Insert the values

\Rightarrow V=\pi \times 6^2\times 16\\\Rightarrow V=3.142\times 576\\\Rightarrow V=1809.792\ m^3

The volume of the cylinder is 1809.792\ m^3

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Can someone help me find an equation for both of these ❤️
Nitella [24]

Answer and Step-by-step explanation:

<u><em>First equation:</em></u>

y = -4x + 9

This equation has a negative slope (a slope that does downwards) and has a positive y-intercept (at (0, 9)).

<em><u>Second Equation:</u></em>

y = -4x - 4

This equation is parallel to the first line because it has the same slope. It also has a negative y-intercept (at (0, -4)).

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

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3 years ago
Find the values of b and c so g(x)=6x^2+bx+c has a vertex of (7,-9).
Blizzard [7]

Answer:

b = -84

c = 285

Step-by-step explanation:

Given that:

g(x)=6x^2+bx+c

Vertex of (7, -9).

To find:

Value of b and c = ?

Solution:

It can be seen that the given equation is of a parabola.

Standard equation of a parabola is given as:

y =Ax^2+Bx+C

x coordinate of vertex is given as:

h=\dfrac{-B}{2A}

Here, A = 6, B = b and C = c, h = 7 and k = -9

7=\dfrac{-b}{2\times 6}\\\Rightarrow b = -84

So, the equation of given parabola becomes:

y=6x^2-84x+c

Now, putting the value of vertex in the equation to find c.

-9=6\times 7^2-84\times 7+c\\\Rightarrow -9=294-588+c\\\Rightarrow -9=-294+c\\\Rightarrow c = 285

So, the answer is :

<em>b = -84</em>

<em>c = 285</em>

<em></em>

8 0
3 years ago
Shane kayaks at a constant rate of 4 mph. How far will he travel in 2 hours?
musickatia [10]

Answer:8 miles

Step-by-step explanation:

If he’s traveling at 4 miles and hour and he traveling for two hours it would be 8 miles

8 0
3 years ago
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Which graph represents an odd function?
Nookie1986 [14]

Answer:

<h2>The first graph in the second image is an odd function.</h2>

Step-by-step explanation:

An odd function has a graph that it's symmetric about the origin, that is, the origin is like a mirror. In other words, the graph of an odd function has a specific symmetry about the origin.

So, we have to look for those graph that has symmetrical points in opposite quadrants, I and III or II and IV.

You can observe that the first graph of the second image has this behaviour. You can see that the points are symmetrical across the origin. If you graph a line defined as y=-x, you will observe that such line acts like a mirror.

Therefore, the odd function is the first graph in the second image.

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3 years ago
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