Answer:
D
Step-by-step explanation:
Answer:
0.5220
Step-by-step explanation:
Since the probability of contamination is 0.15, the probability of no contamination is 1 - 0.15 = 0.85
The probability that they are all contaminated will be 0.85 * 0.85 0.85 * 0.85 = 0.52200625
This is 0.5220 to four decimal
So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is 
.
But first, we have to find the height of this pyramid. The volume formula for a square pyramid is 
. Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:
So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:
In short, the slant height is 10.8 ft.
Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
Answer:
Im pretty sure its a :3
Step-by-step explanation:
