Answer:
The circumference of the circle is
.
Step-by-step explanation:
A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.
The area of a circle is given by 
The formula used to calculate the area of a sector of a circle is:

The circumference of a circle is the distance around the outside of the circle and its given by

We know the central angle
= 110º and the area of the sector 50 units squared.
First, we use the formula to calculate the area of a sector to find the radius.

The radius can't be negative. Therefore,

Next, we apply the formula for the circumference of a circle.

Answer:
4u= - 4i - 24j
u +w = -9i - 3j
Step-by-step explanation:
The question is on operation of vectors
Given u= -i -6j and w= -8i+3j
Then 4u = 4{ -i-6j}
4u= - 4i - 24j
u+w= -i -6j + -8i+3j......................collect like terms
= -i -8i + -6j +3j
= -9i + -3j
= -9i - 3j
Answer:
m = √n/3 -k
Step-by-step explanation:
√n = 3(k + m)
=> √n/3 = k + m
∴ m = √n/3 -k
Hope this helps!!
Answer: 560
Step-by-step explanation:
There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.
The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120
The 30's can be written: 5*30 + 20 = 170
40's: 5*40+20 = 220
50's: 5*50+20 = 270
60's: 5*60+20 = 320
Each set is incremented by 50
We want the sets for 20, 30, and 40, plus the number 50.
(120+170+220+50) = 560
You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.
Answer:
-x
Step-by-step explanation:
8x - 9x
Factor out an x
x(8-9)
x (-1)
-x