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2 years ago

Select all of the correct forms of 806,510.

Mathematics

1 answer:

deff fn [24]2 years ago

4 0

Answer:

it is a, b, and c, but not d

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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

DENIUS [597]

The answer is 15 in³.

The volume of the cone is:
$V_1= \pi r_1 ^{2} \frac{h_1}{3} = \frac{ \pi r_1^{2} h_1}{3}$
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
$V_2= \pi r_2h_2^{2}$
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
$V_1= \frac{ \pi r^{2} h}{3}$
<span> $V_2= \pi rh^{2}$ </span>

We can include V₂ into V₁:
$V_1= \frac{V_2}{3}$

⇒ $V_2=3*V_1$
$V_2=3*5 in^{3}$
$V_2=15 in^{3}$

5 0

3 years ago

Replacing the maximum value of the data set with a smaller number will also affect the mean. A:always B:sometimes C:never

olga nikolaevna [1]

Answer:

B: sometimes

Step-by-step explanation:

Let's look at two examples.

Example A.

2, 3, 5: mean is 3

Replace 5 with 1. Now you have 1, 2, 3: mean is 2.

In this case, it affected the mean.

Example B.

2, 3, 5: mean is 3

Replace 5 with 4. Now you have 2, 3, 4: mean is 3.

In this case, it did not affect the mean.

As you can see, replacing the maximum value of the data set with a smaller number may or may not change the mean.

Answer: B: sometimes

8 0

2 years ago

Pls help!! 25 points!!

ankoles [38]

Answer:

(6, 840) (5, 700) (3, 420) (4, 560)

Step-by-step explanation:

Use the one point that is completely filled out, (6, 840). Divide 840 by 6 and you get 140 so that is the slope. 5x140= what the y intercept will be, 700. 420/140= what the x intercept will be, 3. Now you can see a pattern which helps check your work. They are all decreasing pretty much, not really ordered much but. And finally the last point 4x140=560. Hope that helps! :)

4 0

3 years ago

The lines graphed below are perpendicular. The slope of the redline is -2. What is the slope of the green line

attashe74 [19]

Answer:

It would be undefined if the line is vertical.

Step-by-step explanation:

6 0

3 years ago

For every 1 girl in Mr Hegarty's class there are 4 boys. What is the ratio of boys to girls in the class? Give your answer in it

MakcuM [25]

Answer:

4:!

Step-by-step explanation:

4:1 because their are 4 boys for every 1 girl

3 0

3 years ago

Read 2 more answers