Answer to 1: 648
Answer to 2: 175
The area of the sector is given by the equation,
A = πr²(x / 360°)
where x is the number of degrees in the figure.
25π ft² = (πr²)(60/360)
The value of r is 12.25 ft. Then, we use this value to calculate for the circumference of the sector.
C = 2πr(x/360)
Substituting,
C = 2π(12.45)(60/360)
C = 12.83 ft³
Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
-2x + 1 = -4x + 9
Step 2: Solve for <em>x</em>
- Add 4x to both sides: 2x + 1 = 9
- Subtract 1 on both sides: 2x = 8
- Divide both sides by 2: x = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-2(4) + 1 = -4(4) + 9
-8 + 1 = -16 + 9
-7 = -7
Answer:
Step-by-step explanation:
2x+y
=2(2)+1
=4+1
=5
A=22/10
A=integral(a,b) [f(x)-g(x)]dx
Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.
We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx
Now we can integrate by term.
2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]
Now factor out constants.
2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]
Now integrate.
2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]
Now solve.
2*[(1/3)+2*(1/5)]
=22/10
Hope you can decipher what I wrote!
