7 tiles with plants and 2 tiles with animals...total of 9 tiles
she flips a plant tile, and does not replace it.
probability that 2nd tile is a plant = 6/8 = 0.75 = 75%
Answer:
49/81
Step-by-step explanation:
[cos(a) + sin(a)]^2 = (1/3)^2
(cos(a))^2 + 2sin(a)cos(a) + (sin(a))^2 = 1/9
(sin(a))^2 + (cos(a))^2 = 1
1 + 2sin(a)cos(a) = 1/9
2sin(a)cos(a) = -8/9
sin(a)cos(a) = -4/9
[cos(a) + sin(a)]^4 = (1/3)^4 = 1/81
(cos(a))^4 + 4sin(a)×(cos(a))^3 + 6×(sin(a))^2×(cos(a))^2 + 4(sin(a))^3×cos(a) + (sin(a))^4 = 1/81
(cos(a))^4 + (sin(a))^4 + 4sin(a)cos(a)((cos(a))^2 + (sin(a))^2) + 6(sin(a)cos(a))^2 = 1/81
cos(a))^4 + (sin(a))^4 + 4sin(a)cos(a)(1) + 6(sin(a)cos(a))^2 = 1/81
(cos(a))^4 + (sin(a))^4 + 4(-4/9) +6((-4/9)^2) = 1/81
(cos(a))^4 + (sin(a))^4 - 16/9 + 6(16/81) = 1/81
(cos(a))^4 + (sin(a))^4 = 1/81 + 16/9 - 6(16/81)
(cos(a))^4 + (sin(a))^4 = 49/81
Answer:
Time taken is 
.
Step-by-step explanation:
Given:
Volume of Gulf of Mexico, 
Flow rate of the Mississippi River, 
Now, time taken to fill the volume of Gulf of Mexico is given as:
.
Therefore, the time by the Mississippi River to fill the volume of the Gulf of Mexico is .
area of circle : πr²
area of sector : x/360 x πr²
firstly, you have to find. the area of a circle
π(6)² = 36π
then, find the area of the of the sector (not in the shape)
90°/360° x π(6)² = 12π
[90° is given)]
next, you just minus the total and the area of the sector.
36(3.14) - 12(3.14) = 75.36 units
