Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair.

2 answers:

8 0

In the drawer you have a total of 4 socks: the one you already have, two of a different color and one of the same color of the first sock. If the first two socks you draw are of a different color, the third one will surely be of the color of the first sock.

lana66690 [7]3 years ago

7 0

There are two different colors of socks, so in the worst case scenario you can draw two different socks. Therefore you need to draw one more sock of any color to have a matching pair.

2+1=3 :)

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The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its n

Tamiku [17]

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20

h = height = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20 x 1/5 = 4

h = height = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

4 0

2 years ago

Please help it would be greatly appreciated:)

mixer [17]

Answer:

I really don't know but can u help with mine-_-

6 0

2 years ago

Read 2 more answers

Can somebody help me, please?

Sveta_85 [38]

Answer:

a. $x=10 \textdegree$

$m\angle L=39\textdegree\\\\m\angle M=51\textdegree\\\\m\angle K=90\textdegree$

Step-by-step explanation:

a. We know that angles in a triangle add up to 180°.

-The right angle triangle in the right triangle has a measure of 90°.

We can therefore equate our angles to 180° and solve for x;

$180=\perp\angle+(2x+19)+(3x+21)\\\\180=90+(2x+19)+(3x+21)\\\\90=5x+40\\\\5x=50\\\\x=10\textdegree$

Hence, the angle measure is x=10°

b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

$m\angle L=(2x+19)\textdegree\\\\=(2\times 10+19)\textdegree\\\\=39\textdegree\\\\m\angle M=(3x+21)\textdegree\\\\=(3\times 10+21)\textdegree\\\\=51\textdegree$