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3 years ago

compare and contrast the difference between simplify a fraction and simplify a radical. What is the ultimate goal for each?

1 answer:

3 0

Compare:
- The goal of reducing a radical and a fraction is to literally simplify the numbers to make them easier to work with

Contrast:
- The action of simplifying fractions is dividing the numerator and denominator by a common factor.
- The action of simplifying radicals is making sure the radicand has no square factors. You separate the radicand into two parts, one of which can be square rooted into a whole number.
Example:
$\sqrt{18} = \sqrt{9} * \sqrt{2} = 3 \sqrt{2}$

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I have finished the table but stuck in the question after...

lisov135 [29]

Answer:

7/48

Step-by-step explanation:

there are 48 in total

there are 7 white females

7/48

4 0

3 years ago

Consider the vitamin capsule below.

shusha [124]

Answer:

We have a cylinder and two semispheres.

The volume of a cylinder is equal to:

Vc =h*pi*r^2

where h is the height, r is the radius, and pi = 3.14

We know that the diameter is d = 8.4 mm, and the radius is half of that:

r = 8.4mm/2 = 4.2mm

Then the volume of the cylinder is:

Vc = 15.2mm*3.14*(4.2mm)^2 = 841.9 mm^3

The volume of a sphere is:

Vs = (3/4)*pi*r^3

The radius of the sphere is the same as the radius of the cylinder, and for a semisphere, we have half of the volume written above,

Vss = (3/8)*3.14*(4.2mm)^2 = 87.2mm^3

and we have two of those, so the total volume is:

Vt = 841.9 mm^3 + 2*87.2mm^3 = 1016.3 mm^3

The surface area of the figure is equal to the curved surface of the cylinder plus the surface of the two semispheres.

The curved surface of the cylinder is:

Sc = 2*pi*r*h = 2*3.14*4.2mm*15.2mm = 400.9 mm^2

The surface of a sphere is:

Ss = 4*pi*r^2

and for each semisphere, we can find the surface by dividing the previous equation by two, but we have two semispheres, so we can jump a step and think the two semispheres as only one sphere.

Ss = 4*3.14*(4.2mm)^2 = 221.6mm^2

The total surface is St = 221.6mm^2 + 400.9 mm^2 = 622.5 mm^2

7 0

3 years ago

PLEASE HELP!!!!!!!!!!! Kim wants to know if the number of words on a page in her math book is generally more than the number of

omeli [17]

It's D, because the mean doesn't matter as much if it's only taken in a small variability. The mean was selected from 25 random pages in the book, that is why it is right.

4 0

3 years ago

Read 2 more answers

What is the next number in the pattern? 7,11,10,14,13

nikdorinn [45]

I think the answer is 17 because the pattern adds 4 then takes away 1 so 14-1=13 13+4=17

6 0

3 years ago

In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes. What is the ratio

ira [324]

Answer: C

I hope this helps. Lol I solved it easily. Good luck