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svetoff [14.1K]
2 years ago
9

Prove ||a+b|| ≤ ||a||+|b||​

Mathematics
1 answer:
ANTONII [103]2 years ago
4 0

Step-by-step explanation:

|a+b|=✓(a²+b²)

|a|+|b|=a+b

||a+b|| ≤ ||a||+|b||

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

  • brainly.com/question/9532142
  • brainly.com/question/9590016

#LearnwithBrainly

8 0
3 years ago
I don’t really understand this
mars1129 [50]
Uhh me neither thats very complicated
7 0
3 years ago
Read 2 more answers
What is the net profit of a restaurant with total revenue of 57,000, a cost goods sold at 15,000 and operating expenses of 36,00
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Answer:6,000

Step-by-step explanation:

Gross profit = Revenue - cost of goods sold = 57,000 - 15,000 = 42,000

Net profit = Gross profit - expenses = 42,000 - 36,000 = 6,000

8 0
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The graph shows the cost of ice cream. If a teacher wants to buy 20 cones, how much will it cost ?
Volgvan

Answer:

you cannot see the graph. So I cannot answer this question

Step-by-step explanation:

if you add the graph maybe I can help :D

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Okay so 165 kids 
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3 years ago
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