Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
Answer:
5b + 40.
Step-by-step explanation:
5 x B is 5b. 5 x 8 is 40. so final answer is 5b plus 40. Brainliest?
Answer:
(7c + 5d)²
Step-by-step explanation:
In order to factor a quadratic equation, we need to look at the coefficients of all the terms. In this case the following quadratic:
49c² + 70cd + 25d², has an 'a' = 49, 'b' = 70 and 'c' = 25.
When we take the √49 = 7 and the √25 = 5, we can see that when we multiply 7 x 5 = 35 and 35 + 35 = 70, so we know that our two equations will be the same: (7c + 5d)
Using the FOIL (forward, outside, inside, last) method, we can check our answer:
(7c + 5d)(7c + 5d) = 49c² + 35cd + 35cd + 25d² or 49c² + 70cd + 25d²
Answer:
1.b
2.c and e
3.b,c,and d
Step-by-step explanation:
Answer:
They can finish the race in 15 x 14 x 13 x 12 x 11 = 360360 order.
Step-by-step explanation:
There are 15 bicyclists in the race. The first position would come from the first bicyclist to the 15th. Meaning the first position can be occupied by 15 individuals. The second position can only be occupied by 14 individuals since one person is already first. Same way the third, fourth and fifth positions can be occupied by 13, 12 and 11 individuals respectively.
Therefore, they can finish the race in
15 x 14 x 13 x 12 x 11 = 360360 order.
