3 circles are shown split into halves
so there are 6 halves (1/2) total
2 are fully colored and 1/2 of the 3rd is colored
so as a fraction it would be 5/6 ( 5 out of 6 halves are colored)
mixed number = 2 1/2 ( 2 and 1/2 circles are colored)
decimal would be 5/6 = 0.833
Triangle XYZ is equilateral, so the central angle of the sector is 120°, or 2π/3 radians. The area of a sector of central angle β is given by
.. A = (1/2)r^2*β . . . . . . β in radians
Your sector's area is
.. A = (1/2)*2^2*(2π/3) = 4π/3 . . . . square units
Step 1: 0.35 = 35⁄100
Step 2: Simplify 35⁄100 = 7⁄20
answer: 7/20
Ratio of boys to girls = 1 : 3
Unknown constant = x
x + 3x = 24
4x = 24
x = 6
No. of girls = 3 x 6 = 18
To find the value of x we need to use the INVERSE OPERATION of addition which is subtraction. Then we will check our work. lets do it:-
x + 19 = 13
x = ?
13 - 19 = x
<span>13 - 19 = -6</span>
x = - 6
CHECK OUR WORK:-
x + 19 = 13
x = -6
-6 + 19 = 13
We were RIGHT!!
So, x = -6
Hope I helped ya!! xD
