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Nimfa-mama [501]
3 years ago
6

A drawer contains 22 black socks and 22 white socks. If the light is off and Matt reaches into the drawer to get his​ socks, wha

t is the minimum number of socks he must pull out in order to be sure that he has a matching​ pair?
Mathematics
1 answer:
loris [4]3 years ago
5 0

Answer:  At least 3

Step-by-step explanation:

Lets solve this problem by the pidgeon hole principle. Suppose that Matt pulls out 2 socks, if he gets a matching pair then he is done and that's it. But now suppose that he gets one black sock and one white sock, if he then pulls out a third sock it will be either white or black, in either case he would have gotten with a 100% certainty a matching pair, since he already has a black and a white sock. So the minimum number to ensure he gets a matching pair is 3 socks.

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riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

(using area of ∆ = ½.a.b.sin C for the triangle)

Volume of water = cross-sectional area * length

13.5 * 30 cm³

404 cm³

6 0
2 years ago
X multiplied by 3 is greater than or equal to 21<br><br> What’s the inequality to this?
Andre45 [30]

Answer:

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Step-by-step explanation:

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Answer:

https://ohsrehak.weebly.com/uploads/5/4/6/9/54699399/5-1_bisectors_of_triangles_solutions.pdf   paste the click

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