44 will be your median it is your middle number
45 will be your mode because there are 4 of them
A and C are the only ones who could work...
Because 16+16=32 2+2=4 so 4 counselors to 32 campers
16+16+16=48 and 2+2+2=6 so 48 campers to 6 counselors could also work.
The volume of a sphere is:
V=(4pr^3)/3 so the initial volumes is:
Vi=(4p*4.5^3)/3=121.5p in^3 (before match, approx 381.7 in^3)
Vf=(4p*4.4^3)/3=340.736p/3 (after match, approx 356.8 in^3
Vf-Vi=24.9 in^3
So the ball lost about 24.9 in^3 of air during the match...
Answer:
684/1525
Step-by-step explanation:
Given
cosA = 24/25
SinB = 11/61
Sin(A+B) = SinAcosB + CosAsinB
Get SinA
Since
Cos A = adj/hyp
adj = 24
hyp = 25
opp² = 25² - 24²
opp² = 625 - 576
opp² = 49
opp = √49
opp = 7
sinA = opp/hyp
sinA = 7/25
Also if SinB = 11/61
opposite = 11
Hypotenuse = 61
adj² = 61² - 11²
adj² = 3,721 - 121
adj² = 3600
adj = √3600
adj = 60
Cos B = adj/hyp
CosB = 60/61
Sin(A+B) = SinAcosB + CosAsinB
Sin(A+B) = 7/25(60/61) + 24/25(11/61)
Sin(A+B) = 420/1,525 + 264/1,525
Sin(A+B) = 684/1525
Seven million, two hundred fifty-eight thousand eighty-two. :)
