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2 years ago

Find the volume of the cylinder. Use 3.14 for π. Round your answer to the nearest tenth.

Mathematics

2 answers:

Maurinko [17]2 years ago

3 0

Answer:

409.77 is the answer!

Step-by-step explanation:

3 x 3 x 3.14 x 14.5

pie x r^2 x h = V

lutik1710 [3]2 years ago

3 0

Answer:

The volume of the cylinder is 410 ft^3

Step-by-step explanation:

To find the volume, we must know the formula. The formula is, V = π r^2 h. We already know that the diameter is 6ft, so we have to cut that in half to get the radius. 6/2 = 3. The radius is 3ft. Now we can plug in the values.

V = π*3^2*14.5

V = π*9*14.5

V = 409.977841

V = 410.0

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Write an expression that shows how to multiply 7×256

rewona [7]

Hello! what I like to do is multiply by 10s and subtract the difference, so one thing you could do is 10x256-(3x256)! your final answer will be 1792, hope this helped! ;)

3 0

3 years ago

Please help me with this

Len [333]

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

$angle = \frac{(n-2)*180}{n}$ , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

$\frac{(6-2)*180}{6}=120$ , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

$\frac{360-2(120)}{2} = 60$ , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

$x+60=120$

$x=120-60$

x = 60 degrees

3 0

3 years ago

Define the random variables X and X in words. X is the amount of time an individual waits at the courthouse to be called for ser

densk [106]

<u>Question</u>

Suppose that a committee is studying whether or not there is excessive time waste in our judicial system. It is interested in the mean amount of time individuals spend at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was 4 hours with a sample standard deviation of 1.2 hours. Define the random variables X and $\bar{X}$ in words.