Answer:
Answer should be choice 4
Step-by-step explanation:
Answer:
The population will reach 20,400 after 6 years.
Step-by-step explanation:
Exponential function:
y(t)= Population after t years
= initial population
r= rate of grow
t= time.
A town has a population of 17,000 and grows at a rate 3% every year.
y(t)= 20,400, = 17,000, r=3%=0.03, t=?
Taking ln function both sides
⇒ t = 6 year.
The population will reach 20,400 after 6 years.
Answer:
50
Step-by-step explanation:
total angle of a triangle should be 180 so we add the given angle and subtract it from 180
Answer:
1. 17.27 cm
2. 19.32 cm
3. 24.07°
4. 36.87°
Step-by-step explanation:
1. Determination of the value of x.
Angle θ = 46°
Adjacent = 12 cm
Hypothenus = x
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 46 = 12/x
Cross multiply
x × Cos 46 = 12
Divide both side by Cos 46
x = 12/Cos 46
x = 17.27 cm
2. Determination of the value of x.
Angle θ = 42°
Adjacent = x
Hypothenus = 26 cm
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 42 = x/26
Cross multiply
x = 26 × Cos 42
x = 19.32 cm
3. Determination of angle θ
Adjacent = 21 cm
Hypothenus = 23 cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 21/23
Take the inverse of Cos
θ = Cos¯¹(21/23)
θ = 24.07°
4. Determination of angle θ
Adjacent = 12 cm
Hypothenus = 15cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/15
Take the inverse of Cos
θ = Cos¯¹(12/15)
θ = 36.87°
