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s2008m [1.1K]
3 years ago
5

c{3}{4} - \frac{2}{3} " alt=" 2\frac{3}{4} - \frac{2}{3} " align="absmiddle" class="latex-formula">
Please explain how to do this
Mathematics
1 answer:
docker41 [41]3 years ago
8 0

let's firstly, convert the mixed fraction to improper fraction, and then subtract.


\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{11}{4}-\cfrac{2}{3}\implies \stackrel{\textit{our LCD will be 12}}{\cfrac{(3)11-(4)2}{12}}\implies \cfrac{33-8}{12}\implies \cfrac{25}{12}\implies 2\frac{1}{12}

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A cylinder and a cone have congruent heights and radii.what is the ratio of the volume of the cone to the volume of the cylinder
NemiM [27]

Answer:

1: 3 ratio of the volume of the cone to the volume of the cylinder

Step-by-step explanation:

Volume of cone(V) is given by:

V = \frac{1}{3} \pi r^2h

where, r is the radius and h is the height of the cone.

Volume of cylinder(V') is given by:

V' = \pi r'^2h'

where,  r' is the radius and h' is the height of the cylinder.

As per the statement:

A cylinder and a cone have congruent heights and radii.

⇒r = r' and h = h'

then;

\frac{V}{V'} = \frac{ \frac{1}{3} \pi r^2h}{\pi r'^2h'} = \frac{ \frac{1}{3} \pi r'^2h'}{\pi r'^2h'}

⇒\frac{V}{V'} =\frac{1}{3} = 1 : 3

Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3

4 0
3 years ago
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I really don’t get it!!
AleksAgata [21]

Answer:

The answer is b.

Step-by-step explanation:

Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.

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Answer:

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Step-by-step explanation:

6 0
2 years ago
PLEASE HELP 7TH GRADE 100 PTS!!!
MariettaO [177]

f(x) = 5x is linear. Just a straight line with a slope of +5. So if the intervals are both a difference of 1, then the average rate of change will be the same.

f(x2) - f(x1) over x2 - x1. That's the formula for average rate of change.

So for Section A:

f(x) = 5x, (0,1)

[f(1) - f(0)]/(1-0)

= [5(1) - 5(0)]/1

=(5)/1

=5

Do the same for section B and you'll get 5 as well.

I hope this helps you because I have no clue if my answer is right

6 0
3 years ago
5/10 points, 1 question ( no rude answers )
bagirrra123 [75]
The answer is b because all the points lie on the graph
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3 years ago
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