3sin^2(theta)=1-sin^2(theta)

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.

2500

step-by-step explanation:

2500 multiplied by 0.05 = 125

mtrs.

step-by-step explanation:

first sa=180 square meters

as it is given that

putting the value of sa

mtrs.

now, when sa = 120 sq mtrs. using the formula we get

mtrs.

the side of cube with surface area 180 sq mtrs. is longer by side of cube with surface area 12 sq. mtrs. by

mtrs..