Our aim is to calculate the Radius so that to use the formula related to the area of a segment of a circle, that is: Aire of segment = Ф.R²/2
Let o be the center of the circle, AB the chord of 8 in subtending the arc f120°
Let OH be the altitude of triangle AOB. We know that a chord perpendicular to a radius bisects the chord in the middle. Hence AH = HB = 4 in
The triangle HOB is a semi equilateral triangle, so OH (facing 30°)=1/2 R. Now Pythagoras: OB² = OH² + 4²==> R² = (R/2)² + 16
R² = R²/4 +16. Solve for R ==> R =8/√3
OB² = OH² +
Answer:
0.44
Step-by-step explanation:
given that the weather forecaster says that the probability of rain on Saturday is 20% and the probability of rain on Sunday is 30%.
It is common sense to know that Saturday and Sunday are independent of the other
Hence Probability that it rains on both days = 0.2*0.3=0.06
Since for independent events joint probability is the product of probabilities
required probability
= probability of rain over the weekend (Saturday or Sunday
= P(Sunday)+P(Saturday) -P(both)
=
Answer:a=8; b=40
Step-by-step explanation:answer d is correct
Answer:
$100.87 (to the nearest cent)
Step-by-step explanation:
1 gallon = 27 miles
⇒ number of gallons needed to drive 838 miles = 838 ÷ 27 = 31.0370370... gallons
1 gallon = $3.25
⇒ total cost to drive 838 miles = 3.25 x 838/27 = $100.87 (to the nearest cent)
