Sector area= theta/360 x πr^2
Radius= 24/2= 12
Sector area= 120/360 x π(12)^2
Final answer :
Sector area = 48π
Answer:
The answer to your question is 2x² - 29x + 26
Step-by-step explanation:
dividend = 6x³ - 25x² + 20x + 4
divisor = 3x + 2
2x² - 29x + 26
3x + 2 6x³ - 25x² + 20x + 4
-6x³ - 4x²
0 - 29x² + 20x
+ 29x² + 58x
0 78x + 4
-78x - 52
0 - 48
quotient = 2x² - 29x + 26
remainder = -48
Result = 2x² - 29x + 26 - 48/6x³ - 25x² + 20x + 4
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
89,000 is it for ur question
Answer:
f^-1(x) = (x/8)^(1/5) is a function
Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 8x^5
x = 8y^5
x/8 = y^5
(5)√(x/8) = y
This is a fifth root of (x/7) also written in exponents as y = (x/8)^(1/5).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.
