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Igoryamba
1 year ago
7

A glass marble has a diameter of 18 millimeters. What is the approximate volume of the marble? Use 3.14 for .

Mathematics
1 answer:
maria [59]1 year ago
3 0

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

<h3>What is the volume of sphere?</h3>

If the given sphere is of radius r units, then its volume is given as:

V=  \dfrac{4}{3} \pi r^3 \: \rm unit^3

A glass marble has a diameter of 18 millimeters.

The radius is 9

V=  \dfrac{4}{3} (3.14) (9)^3 \: \rm unit^3\\\\V = 3,052.08 cubic millimeters

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

Learn more about the volume of a sphere here:

brainly.com/question/381274

#SPJ1

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Jake took $20.00 to the shop and asked that it be changed into 5-cent coins. How many coins did he get?
coldgirl [10]

Answer:

He got 400 coins because there are 100 cents in a dollar. 100*20=2000. 2000/5=400!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

8 0
3 years ago
What are the types of roots of the equation below?<br> - 81=0
Tju [1.3M]

Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0. This can be obtained by finding root of the equation using algebraic identity.    

<h3>What are the types of roots of the equation below?</h3>

Here in the question it is given that,

  • the equation x⁴ - 81 = 0

By using algebraic identity, (a + b)(a - b) = a² - b², we get,  

⇒ x⁴ - 81 = 0                      

⇒ (x² +  9)(x² - 9) = 0

⇒ (x² + 9)(x² - 9) = 0

  1. (x² -  9) = (x² - 3²) = (x - 3)(x + 3) [using algebraic identity, (a + b)(a - b) = a² - b²]
  2. x² + 9 = 0 ⇒ x² = -9 ⇒ x = √-9 ⇒ x= √-1√9 ⇒x = ± 3i

⇒ (x² + 9) = (x - 3i)(x + 3i)

Now the equation becomes,

[(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

Therefore x + 3, x - 3, x + 3i and x - 3i are the roots of the equation

To check whether the roots are correct multiply the roots with each other,

⇒ [(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

⇒ [x² - 3x + 3x - 9][x² - 3xi + 3xi - 9i²] = 0

⇒ (x² +0x - 9)(x² +0xi - 9(- 1)) = 0

⇒ (x² - 9)(x² + 9) = 0

⇒ x⁴ - 9x² + 9x² - 81 = 0

⇒ x⁴ - 81 = 0

Hence Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: What are the types of roots of the equation below?

x⁴ - 81 = 0

A) Four Complex

B) Two Complex and Two Real

C) Four Real

Learn more about roots of equation here:

brainly.com/question/26926523

#SPJ9

5 0
1 year ago
Standard form of y=7x+10
Ugo [173]

Answer: 7x-y=10

Step-by-step explanation:

4 0
2 years ago
Choosing a career means you also need to think about your ________ ________ .
Sever21 [200]

Answer:

Life Path

Step-by-step explanation:

It's two words, and they are both of equal length. I hope that helps.

6 0
3 years ago
Plz help me out a bit :(<br> which one do you think it is?
Anna [14]
C. 9^4
when dividing with exponents, i usually just look at the exponents and subract them so i did 12-8 for this problem
8 0
3 years ago
Read 2 more answers
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