Let ABC the vertices of the EQUILATERAL triangle inscribed in the circle centered in O & with R as radius (sketch it to better understand)
Join OA & OB so that to calculate the area of sector BOA
Mesure Angle C = 1/2 mes Arc AB, but C =60° , then Arc AB = 120°
So the central angle AOB = mes ARC OAB = 120°
The area of a sector = mes angle BOA x R² (mind you angle should be in radian) Angle BOA = 120°or 2π/3 (in radian) the Area Sect = (2π/3).R²
Answer:
what is the question?
Step-by-step explanation:
Answer:
- C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)
Step-by-step explanation:
Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.
<u>Volume of cylinder up to water level:</u>
- Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)
<u>Volume of marbles:</u>
- Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)
<u>Volume of water:</u>
- Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)
Correct choice is C
Answer:
x = 62.1
Step-by-step explanation:
Note the equal sign in this equation, what you do to one side, you do to the other. Isolate the variable, x, by dividing 10 from both sides of the equation:

4 red marbles
6 blue marbles
8 green marbles
Add:
4 + 6 = 10
10 + 8 = 18
18 total marbles
Green marbles/total marbles
8/18
Simplify:
8 ÷ 2 = 4
18 ÷ 2 = 9
Simplest form = 4/9
8/18 = 4/9
D. 4/9