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3 years ago

I thought the volume of a cone is (1/3) times 3.14 times height?

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

6 0

The volume of a cone is (1/3) times 3.14 times the height, and times the radius squared.

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How many roots of the polynomial 30x^4 + 7x^3-125x^2-54x+72 have absolute value greater than 1?

Daniel [21]

Answer:

There are 3 roots of the given polynomial that have absolute value greater than 1.

Step-by-step explanation:

We are given the polynomial:

$p(x) = 30x^4 + 7x^3-125x^2-54x+72$

We can factorize the given polynomial as:

$p(x) = 30x^4 + 7x^3-125x^2-54x+72\\=(x-2)(2x+3)(5x-3)(3x+4)=0$

$\text{Solving for}\\(x-2) = 0\\x = 2\\|x| = 2 > 1$

$\text{Solving for}\\(2x+3) = 0\\x = \dfrac{-3}{2}\\\bigg|\dfrac{-3}{2}\bigg| = \dfrac{3}{2} > 1$

$\text{Solving for}\\(5x-3) = 0\\x = \dfrac{3}{5}\\\bigg|\dfrac{3}{5}\bigg| = \dfrac{3}{5} < 1$

$\text{Solving for}\\(3x+4) = 0\\x = \dfrac{-4}{3}\\\bigg|\dfrac{-4}{3}\bigg| = \dfrac{4}{3} > 1$

Thus, there are 3 roots of the given polynomial that have absolute value greater than 1.

8 0

3 years ago

Simplify 11/10. Lol I just asked a question a few min. ago.

Tanya [424]

1.1, 1 $\frac{1}{10}$ , 1.10 ect ect. There are lots of ways to simplify it, here are some main ones. Hope this helps and have a good day! =)

4 0

3 years ago

Read 2 more answers

A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 180 ounces of a mixture

xxMikexx [17]

Answer:

water : 90 ounces

salt solution: 90 ounces

Step-by-step explanation:

Call w the amount of water and call the solution containing 30% salt.

We want to get 180 ounces of a mixture with 15% salt.

So:

The amount of mixture will be:

$w + s = 180$

the amount of salt will be

$0w + 0.3s = 180 * 0.15$

$0.3s = 27$

$s = 90\ ounces$

Now we substitute the value of s in the first equation and solve for w

$w + 90 = 180$

$w = 90\ ounces$

5 0

3 years ago

Need help 25 points

Zina [86]

Answer:

The answer is 50.27 yards.

Step-by-step explanation:

You divide the diameter in 2, which gives you the radius of 4. Then you must square the radius, or multiply it twice, 4 times 4, to get 16. Then multiply that by pi or 3.14, which is 50.27. Hope this helped and please give brainliest if possible! :)

3 0

2 years ago

Line AB and line CD intersect at point E, with point E between A and B and between C and D. Which rays are opposite rays?

olchik [2.2K]

Answer:

EA, EB, EC and ED are opposites rays.

Step-by-step explanation:

Given that,

Line AB and line CD intersect at point E.

According to figure,

We need to find opposite rays

Using diagram

We draw a first line AB and second line CD which is intersect of AB at point E.

Now, EA and EB is called opposite ray of first line AB.

Similarly,

EC and ED is called opposite ray of first line CD.

Hence, EA, EB, EC and ED are opposites rays.

3 0

3 years ago