The area of a sector is 339.336 cm²
The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.
It can be determined by using the formula:
![\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }](https://tex.z-dn.net/?f=%5Cmathbf%7BA%20%3D%20%5Cdfrac%7B%5Ctheta%20%7D%7B360%7D%5Ctimes%20%5Cpi%20r%5E2%20%7D)
Given that;
- Radius r = 18 cm
- Angle θ = 120°
Then. the area of the sector can be calculated as:
![\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }](https://tex.z-dn.net/?f=%5Cmathbf%7BA%20%3D%20%5Cdfrac%7B120%7D%7B360%7D%5Ctimes%20%5Cpi%20%2818%29%5E2%20%7D)
![\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }](https://tex.z-dn.net/?f=%5Cmathbf%7BA%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%203.142%20%5Ctimes%20324%20%7D)
A = 339.336 cm²
Learn more about the area of a sector here:
brainly.com/question/7512468?referrer=searchResults
Answer:
y+5=-3/4(x+6)
or in slope intercept
y= -3/4x-38/4
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5--13}{-6-6}=\frac{-5+13}{-6+-6}=\frac{8}{-12}=\frac{-3}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B-5--13%7D%7B-6-6%7D%3D%5Cfrac%7B-5%2B13%7D%7B-6%2B-6%7D%3D%5Cfrac%7B8%7D%7B-12%7D%3D%5Cfrac%7B-3%7D%7B4%7D)
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--5)=-3/4(x--6)
y+5=-3/4(x+6)
y+5=-3/4x-18/4
y=-3/4x-18/4-20/4
y= -3/4x-38/4
Answer:
x = 8
Step-by-step explanation:
Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.
16x-4 + 7x = 180, combine like terms
23x - 4 = 180, add 4 on both sides (isolate variable)
23x = 184, divide 23 on both sides
x = 8
Answer:
(-4, -2)
Step-by-step explanation:
The x-coordinate would stay the same, but the y-coordinate would be halved. Thus, the corresponding point would be (-4, -2).
<span>If the relationship is x+4 then
f(5)=5+4
f(5)=9
as an example
</span>