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3 years ago

what is the probability of choosing a point inside a cylinder but not inside the cone that has the same base and height as the c

ylinder

Mathematics

1 answer:

MArishka [77]3 years ago

3 0

$The\ cone\ that\ has\ the\ same\ base\ and\ height\ as\ the\ cylinder\\states\ \frac{1}{3}\ of\ the\ cylinder.\\\\The\ probality\ of\ choosing\ a\ point\ inside\ a\ cylinder\ not\ inside\\the\ cone\ is\ equal\ to\ \frac{2}{3}.$

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A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a

arlik [135]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)

PIT_PIT [208]

9514 1404 393

Answer:

common denominator: (x² -4)
simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

a² -b² = (a -b)(a +b)

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

$\dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}$

3 0

3 years ago

Change the following number to Scientific Notation.<br> 0.0080098

AlladinOne [14]

Simple

scientific notation
8.009 × 10-3

4 0

3 years ago

How to solve 76×327 step by step

hram777 [196]

Here's a method that takes advantage of the values of these particular numbers.

... 76 = 80 - 4

... 76 × 327 = (80 -4)×327

... = 80×327 - 4×327

Repeated doubling will give us values that are 2, 4, and 8 times 327.

... 2×327 = 327+327 = 654

... 2×654 = 4×327 = 654+654 = 1308 . . . . we'll use this later

... 2×1308 = 8×327 = 2616

We want 80×327, so we can add a zero to the end of this last:

... 80×327 = 26160

Now, we can subtract 4×327 to get 76×327

... 80×327 - 4×327 = 26160 -1308 = 24852 = 76×327

_____

More conventionally, you would multiply every digit of one number by every digit of the other and add the products according to their respective place values.

327 × 076 = (3×0)×10000 + (3×7 +2×0)×1000 +(3×6 +7×0 +2×7)×100 +(2×6 +7×7)×10 +(7×6)×1

... = 0 +21,000 +3,200 + 610 +42

... = 24,852

Note the pattern of partial products here. This is a method taught to/by practitioners of Vedic mathematics, and can be done in your head. At most, you would write down the partial product sums 21, 32, 61, and 42 to keep from having to carry more than one number in your head at a time.

5 0

3 years ago

What is the volume, in cubic feet, of a cone that has a base area of π / 4 square feet and a height of 3 feet?

rewona [7]

$The\ volume\ of\ a\ cone:V=\frac{1}{3}B\cdot H\\\\B=\frac{\pi}{4}ft;\ H=3ft\\\\therefore\\\\V=\frac{1}{3}\cdot\frac{\pi}{4}\cdot3=\boxed{\frac{\pi}{4}\ (ft^2)=\frac{1}{4}\pi\ (ft^2)}$

8 0

3 years ago