48 ounces is water, out of 64 ounces of orange juice. 48 out of 64 is 48/64=0.75. That is 0.75*100=75 percent.
Answer:
a) ±0.73
b) ±3%
Step-by-step explanation:
One side of the right angle triangle is 12cm
The opposite angle(x) is 30 degree
Possible error = ±1degree
a) Let the hypotenus= h
h/12 = cosecx
h = 12cosecx
Differentiate h with respect to x
dh= -12cosecxcotcdx
The possible error in the angle measurement is dx
dx= ±1degree
Convert degree to radians
dx = ±1*π/180
dx = ± π/180
Put x and dx into dh
dh = -12cosec30cot30(±π/180)
= -12(2)(√3)(±π/180)
= -24√3(±π/180)
= ±24π√3/180
= ±0.73
b) To find the percentage error, recall that
dh = 12cosecx
dh = 12cosec30
dh = 12(2)
= 24
Percentage error =
(change in value/initial value) 100
Percentage error = (dh/h)100
= (±0.73/24)100
= ±0.030*100
= ±3%
Answer:
Associate Property of Multiplication
Step-by-step explanation:
There are 56 ducks in the pond after a 40% increase
The true answer here is B.