Answer:
<em>13π/9 rad</em>
Step-by-step explanation:
Given the following
Area of a sector = 26πcm²
radius of the sector = 6cm
Required
central angle measure of the sector in radians
Area of a sector = Ф/2π * πr²
26π = Ф/2π * πr²
26 = Ф(6)²/2π
26 = 36Ф/2π
2π = 36Ф/26
π = 18Ф/26
26π = 18Ф
Ф = 26π/18
<em>Ф = 13π/9 rad</em>
<em>Hence the measure of the central angle in radians is 13π/9 rad</em>
Answer:
200
i just know its 200 no explanation
Answer:
Step-by-step explanation:
Nick's age = x years
Lina's age =3*x = 3x
After 6 years,
Lina's age = 3x + 6
Nick's age = x + 6
3x + 6 = 2*(x+6)
3x + 6 = 2*x + 2*6
3x + 6 = 2x + 12 {Subtract 6 form both sides}
3x +6 - 6 = 2x + 12 - 6
3x = 2x + 6 {subtract 2x from both sides}
3x - 2x = 2x + 6 - 2x
x = 6
Nick's age = 6 years
Lina's age =3*6 = 18 years
Answer:
8x + 13
Step-by-step explanation:
The perimeter is the sum of the 5 sides of the polygon, that is
perimeter = x + 5 + 3x + x + x + 5 + 2x + 3 ← collect like terms
perimeter = 8x + 13
The answer is 40, take 21 from the last equation solved and add 8 to it then add 11