Answer: B
Step-by-step explanation:
Answer:
Option (1)
Step-by-step explanation:
By using triangle sum theorem in the given triangle,
(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°
(5x + 11x + 3x) - (7 + 4 - 1) = 180
19x - 10 = 180
19x = 190
x = 10
Therefore, (3x + 1)° = 30 + 1
= 30°
(11x - 4)° = 110 - 4
= 106°
(5x - 7)° = 43°
Therefore, Option (1) will be the correct option.
Answer:
first one is 32
the second one is 53
Step-by-step explanation:
Answer:
661.7 million
Step-by-step explanation:
Given the exponential model :
A = 661.7 e^0.011t
The general form of an Exponential model is expresses as :
A = A0 * e^rt
Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed
From the question t = time after 2003
Therefore, A0 = initial population, which is the population in 2003
Therefore, A0 = 661.7
Or we could put t = 0 in the equation and solve for A
A = 661.7 e^0.011(0)
A = 661.7 * 1
A = 661.7
Hence, population in 2003 is 661.7 million
Answer:
a = π n for n element Z
Step-by-step explanation:
Solve for a:
sec(a) + tan(a) = sec(a) - tan(a)
Subtract sec(a) - tan(a) from both sides:
2 tan(a) = 0
Divide both sides by 2:
tan(a) = 0
Take the inverse tangent of both sides:
Answer: a = π n for n element Z