Answer:
≈ 62.8
Step-by-step explanation:
Using the equal ratios of
= 
, that is
= 
= 5, thus
5 × sector = 100π ( divide both sides by 5 )
sector = 20π = 20 × 3.14 = 62.8 units²
The probability of Jake winning a contest is 0.25
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
Answer: 36
Step-by-step explanation:
Multiply -6 by itself six times, then divide 1 by -6 four times. Multiply the products. Then multiply -6 by itself one more time and you will get 36.
The top question is 1/4. There seems to be a small multiplaction symbol next to the fractions, I'm ignoring that. To get 1/4, I multiplied 2 by itself six times because of the exponent, to get 64. I did the same with the bottom, and recieved 256. 64/256 is 1/4.
