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3 years ago

What is the formula for the volume of a cone?

Mathematics

2 answers:

timofeeve [1]3 years ago

8 0

Formula is V=(1/3)hpir^2

so then it would be D

Nonamiya [84]3 years ago

8 0

The volume of a fine is found by 1/3πr^2h

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(X-2) is a factor of x^4+2x^3-7x^

zysi [14]

Answer:

x−2x4+2x3−7x2−8x+12=x3+4x2+x−6

The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have

\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3

Finally, we can factorize the remaining quotient easily:

x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)

so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .

6 0

3 years ago

The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.

prohojiy [21]

Step-by-step explanation: Our first task in this problem is to setup variables representing length and width and we do that by using the second sentence.

The length is twice the width

So if we call our width x, that means that our length is 2 times x or 2x

Width of the rectangle ⇒ x

Length of the rectangle ⇒ 2x

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths x and our lengths 2x.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

around the outside of the figure.

So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that x = 10.

Since x represents width, our width is 10.

Our length therefore with be 2(10) or 20.

So our width is 10 and our length is 20.

8 0

3 years ago

You order a breakfast that costs $10.25 and a coffee that costs $3.45. You leave a 02% tip and the sales tax is 9.5%. What is th

Rasek [7]

Answer: the total cost of the meal is

$17.7415

Step-by-step explanation:

The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was

10.25 + 3.45 = $13.7

You leave a 20% tip. This means that the amount of tip that you left is

20/100 × 13.7 = 0.2 × 13.7 = $2.74

The sales tax is 9.5%. This means that the amount of sales tax that you paid is

9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015

Therefore, the total cost of the meal would be

13.7 + 2.74 + 1.3015 = $17.7415

7 0

3 years ago

Is the number 15 prime or composite? prime composite Please help me. Will mark brainiest! Thats okay if you don't know don't ans

elixir [45]

Answer:

Hey there!

15 is composite. A composite number has factors other than one and itself. 15 has factors 3 and 5.

Thus, 15 is composite.

Let me know if this helps :)

8 0

3 years ago

Read 2 more answers

What is an equation of the line passing between(4, -6) and (12, -8)?*

I am Lyosha [343]

Answer:

y= -1/4x - 5

Step-by-step explanation:

first you need to find the slope.

to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1

-8 - (-6)/12-4

-2/8

-1/4 = slope

since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points

-6 = -1/4(4) + b

-6 = -1 + b

-5 = b

so the final equation is y= -1/4x - 5

4 0

3 years ago