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Ahat [919]
3 years ago
14

Triangle inequality proof /a + b/ ≤ /a/ + /b/

Mathematics
1 answer:
True [87]3 years ago
4 0

Answer:

a^2+b^2+2|a||b|≥a2+b2+2ab(|a|+|b|)2≥|a+b|2(∵∀x∈R;x2=|x|2)∴|a|+|b|≥|a+b|\

Step-by-step explanation:

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WINSTONCH [101]

Answer:

Step-by-step explanation:

4 0
2 years ago
Help me on this plz
Andrews [41]

Answer: $467.21

Step-by-step explanation:

8% of 600 = 48

600 - 48 = 552

8% of 552 = 44.16

552 - 44.16 = 507.84

8% of 507.84 = 40.6272

8% of 507.84 ≈ 40.63

507.84 - 40.63 = 467.21

7 0
3 years ago
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Margaret [11]
Answers:
26) 50 percent chance
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6 0
3 years ago
Im bored in this quarentine and have a lot of work to catch up on. One of my math problems is "How much water should be added to
Kazeer [188]

Answer:

20/3  ounces of water is added.

Step-by-step explanation:

how many ounces of pure water should be added to 20 ounces of 40% solution of muriatic acid to obtain a 30% solution of muriatic acid?

--------------

The acid is 40% of 20 ounces = 8 ounces.

0.4*20 = 8

----------

 

That same 8 ounces is to be 30%. The water will be the other 70%.

8/30 = x/100

30x = 800

x = 80/3, the total amount of the solution.

We started with 20, so 80/3 - 20 = 20/3

20/3 ounces of water is added.

8 0
3 years ago
If sec= 5/3 and the terminal point determined by is in quadrant 4, then
OLga [1]
\bf sec(\theta)=\cfrac{1}{cos(\theta)}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{5}{3}\implies \cfrac{1}{cos(\theta)}=\cfrac{5}{3}\implies \cfrac{3}{5}=cos(\theta)
\\\\\\
\textit{now, }\theta\textit{ is in the 4th quadrant}

so... notice the picture below, the angle in the fourth quadrant
now... notice, the cosine is just the distance the angle makes with the x-axis
so... using the pythagorean theorem, get the opposite side, from that triangle, keeping in mind that, "y" is negative in the 4th quadrant

once you get "y", get any other trigonometry value you need :)

7 0
3 years ago
Read 2 more answers
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