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enyata [817]
3 years ago
10

What is the volume of a cone with the given dimensions? Diameter = 14 cm.; Height = 2 cm.

Mathematics
1 answer:
Helga [31]3 years ago
4 0
Volume of a cone = (π.R²)(h/3)

Diameter = 14cm then R=7 cm

Height = h= 2cm

Hence V=*π.7²)(2/3) ==> 98π/3 or 102.625 cm³
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a molecule is measured and the width is 3x10-6 cm. how long will a string of 225 similar molecule be? give your answer in scient
mixer [17]

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Data;

  • Width of molecule = 3*10^-6 cm
  • Number of molecules = 225

<h3>Length of the molecule</h3>

This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.

This becomes;

3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Learn more on scientific notation here;

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brainly.com/question/1712028

7 0
3 years ago
Work out the formula for the nth term of the<br>quadratic sequence:<br>5, 11, 19, 29​
Sladkaya [172]

Answer:

n squared + 3n + 1

Step-by-step explanation:

5,11,19,29

Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.

8 0
3 years ago
Can someone pls help me / alguien me puede ayudar
user100 [1]

Answer:

The simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

Step-by-step explanation:

Given the expression

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2

\mathrm{Group\:like\:terms}

=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2

Add similar elements

=0.2y+\frac{1}{5}x-6-2

=0.2y+\frac{x}{5}-6-2

=0.2y+\frac{x}{5}-8

=0.2y+0.2x-8

Thus, the simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

6 0
3 years ago
How many people can be served from one cup of oatmeal? How many cups will it take to serve 27 people?
ASHA 777 [7]

Answer:

B. 3 people;9 cups

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Claudia added an equilateral triangle shape that is one inch high and one inch wide to a slide in her presentation. She clicked
mr_godi [17]

The effect of Claudia's changing the height of of the triangle from 1 inch

to 3 inches is the option;

  • The height of the triangle changed to three inches but the width remained 1 inch

<h3>Which option gives the effect of changing the height?</h3>

The given dimensions of the equilateral triangle Claudia added are;

Height of the triangle = 1 inch

Width of the triangle = 1 inch

The value Claudia typed in the Shape Height box = 3

Required:

What happened to the shape after she press Enter

Solution:

By entering 3 in the Shape Height box, changes the height of the

equilateral triangle to 3 inches but the width remains 1 inches

From a similar question posted online, the correct option is therefore;

  • The height of the triangle changed to three inches but the width remained 1 inch

Learn more about triangles here:

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3 0
2 years ago
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