Answer:
-17
Step-by-step explanation:
Plug in -2 as your x value for the g(x) equation and simplify.
Next, plug in your g(x) value (2) to the f(x) equation for x and simplify.
Answer:
The 23rd term is 71.
Step-by-step explanation:
Y = f(x)
y = weight of a cat
x = age of a cat
f = some function (unknown in any detail)
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:
The measure of ∠BDA is 30 Degrees.
Step-by-step explanation:
Lets construct a trapezium with the given data
If O is the point of intersection of the diagonals, ∆ AOD ~ ∆COB. Then
On substituting the given values
Also we know that AC = 6 . That is
AO + OC = 6 or OC = 6 - AO
substituting for CO and cross multiply
5·AO = (6-AO)·7
5AO = 42 - 7AO
12AO = 42
AO = = 3.5
All of the angles at E are right angles, so has the trigonometric ratio
= = 0.5 =
∠BDA = arcsin(1/2) = 30°