The area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a sector with a central angle of 210° and a diameter of 4.6 units.
The area of a sector can be calculated using the formula -
A{Sector} = θ/360° x 2πr
For the sector given, we have -
θ = 210°
r = 4.6 units
Substituting the values, we get the area of the sector as -
A{Sector} = 210°/360° x 2πr
A{Sector} = 7/12 x 2πr
A{Sector} = 7πr/6
A{Sector} = 7πd/12
A{Sector} = 7π x 4.6/12
A{Sector} = 7π x 0.38
A{Sector} = 2.6π square units
Therefore, the area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.
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Answer: y=-2x+8
Step-by-step explanation:
To find the slope of the line, you would use . With the 2 points we are given , we can plug it into this equation to find the slope.
Now we know the slope is -2. To find the y-intercept, we know that the x value is 0. We are given that one of the points is (0,8). That means 8 is our y-intercept.
The final equation we get is y=-2x+8.
Answer:
y= -2×+8
Step-by-step explanation:
find m(slope)
y2-y1 over x2-x1
substitute using (0,8) and (4,0)
m=-2
y=mx+b
substitute x and y to find b using either (0,8) or (4,0)
0=-2(4) + b
0= -8 +b
0+8= -8+8 +b
8=b
y=-2x+8
Answer:
General Formulas and Concepts:
Calculus
Limits
Graphical Limits
Step-by-step explanation:
If we graph the function, we can see that as we approach 3 from the left, we go towards negative infinity.
∴
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
In terms of numerical value, 10.6 is greater than 10.06.
Use the concept of place value defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The difference lies in the decimal places.
When comparing decimals:
Look at the value of each digit after the decimal point,
In this case:
Both numbers have the same whole number value of 10,
But the first decimal place in 10.06 is 0, whereas in 10.6 it is 6.
Since 6 is greater than 0, 10.06 is actually less than 10.6.
Hence,
The decimal number 10.6 is greater than 10.06.
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