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LiRa [457]
3 years ago
6

Abs(sin(x) - sin(y)) ≤ abs(x-y)

Mathematics
1 answer:
barxatty [35]3 years ago
3 0
|sin(x)−sin(y)|=|2sin(x−y2)cos(x+y2)|≤|2sin(x−y2)|
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. A recipe calls for 3 teaspoons of salt for every 5 cups of flour. If you wanted to make a larger batch with 15 cups of flour,
riadik2000 [5.3K]
Given:
3 teaspoons of salt for every 5 cups of flour.

How much salt is needed for 15 cups of flour?

This is a proportion problem:
a/b = c/d where ad = bc

3/5 = x/15
3*15 = 5x
45 = 5x
45/5 = x
9 = x

C. 9 teaspoons of salt is needed for 15 cups of flour.

3/5 = 9/15
3*15 = 5*9
45 = 45
5 0
3 years ago
I'm Stuck, please help.
GarryVolchara [31]
Hi there!

Let me help you out a bit here. What we need to do is subtract the area of the smaller square from the area of the larger square. To do this, we first need to find the length of one of the larger sides. Since the outer polygon is a square, we can use the 45-45-90 relationship to determine that each side of the larger square is equal to 9 \sqrt{2}. Next, we can do the same thing for the smaller square, determining that one outer side of the smaller square is equal to 4 \sqrt{2}. To figure out the area of both squares, we need to square each of the outer lengths. This gives us 162 for the bigger square and 32 for the smaller square. Now, all we need to do is subtract 32 from 162. This gives us a value of 130cm^2 for the shaded area.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
5 0
4 years ago
Rewrite 25 and 125 as exponents that have the same base. Write your answers #^# and
dangina [55]

Answer:

  • 25 = 5^2
  • 125 = 5^3

Step-by-step explanation:

Both 25 and 125 are powers of 5. As such, they can be written as the powers they are:

  25 = 5·5 = 5^2

  125 = 25·5 = 5·5·5 = 5^3

3 0
3 years ago
Julie works for 48 hours per week for 12 weeks during the summer, making $5000. If she works for 48 weeks during the school year
spayn [35]
She would need to work 12 hours per week. 
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4 years ago
What is another word for grouping
Whitepunk [10]
Another word for grouping is : Combine.
6 0
3 years ago
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