Answer: 8π square meters
Explanation:
First, we convert the angle of the sector to radians, which is 30 degrees.
Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6,
30 degrees = π/6 radians
Thus, the angle of the sector in radians is π/6.
So, the area of the sector is given by
(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
= (1/2)(radius)²(π/6)
= (π/12)(radius)²
= (1/12)(π)(radius)²
Note that
(Area of the circle) = (π)(radius)² = 96π
Therefore, the area of the 30-degree sector is given by
(Area of the sector) = (1/12)(π)(radius)²
= (1/12)(Area of the circle)
= (1/12)(96π)
(Area of the sector) = 8π square meters
A product is when you multiply and get the answer.
Answer:
4m² + 11m + 6
Step-by-step explanation:
Use foil to expand this value.
(4m+3)(m+2)
Multiply the first terms in the two brackets.
Then multiply the two outer terms.
Followed by multiplying the inner terms.
Finally multiply the last terms
= (4m+3)(m+2)
4m² + 8m + 3m + 6
4m² + 11m + 6
25 • 0.65 = 16.25
25 - 16.25= 8.75
The new price is $8.75
Answer:
31%
Step-by-step explanation:
100- 75 = 25
25/81 = 0.308 = 31%
