<u>Answer:</u>
A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.
<u>Solution:</u>
We need to show that the gradient of the curve at A is 1
Here given that ,
--- equation 1
Also, according to question at point A (b+1,0)
So curve at point A will, put the value of x and y
0=b+1-c --- equation 2
According to multiple rule of Differentiation,
so, we get
By putting value of point A and putting value of eq 2 we get
Hence proved that the gradient of the curve at A is 1.
Is it 729 lol why would you put it as mixed number
For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.
<h3>What is a tax bracket?</h3>
Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.
The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on
- whether or not they are single
- If married, whether they are filing jointly; and
- how much their annual income is subject to deductibles.
It is to be noted that a general answer was provided here due to insufficient details in the question.
Learn more about tax brackets at:
brainly.com/question/1615513
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8/36
Divide the numerator and the denominator by 4
2/9
That's the simplest form
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