Answer:
The exterior angles need to equal 360 degrees.
You have 70 + 65 + 75 = 210
So 2x + 3x need to equal 360 - 210 = 150
5x = 150
x = 150 /5 = 30
2x = 2 *30 = 60
3x = x *30 = 90
An interior angle and an exterior angle need to equal 180 degrees.
The largest interior angle would need to correspond with the smallest exterior angle.
The smallest exterior angle is 2x which equals 60 degrees.
The largest interior angle would be 180 - 60 = 120 degrees.
Answer:
The probability that exactly 6 transactions will be made at an ATM in the next 20 minutes = 0.06306 = 0.0631 to 4d.p
Step-by-step explanation:
This is a Poisson distribution problem
The Poisson distribution formula is given as
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 10 transactions per 20 minutes
x = variable whose probability is required = 6 transactions in the next 20 minutes
P(X = 6) = (e⁻¹⁰)(10⁶)/6! = 0.06306
Assuming it is compounded monthly, Lucas will have $28,128,737.86 in his account after 16 months.
Answer:
T = -7 + 3t .
Step-by-step explanation:
T = -7 + 3t where T = the temperature and t = the times in hours.
Answer:
Step-by-step explanation:
<u>Funciones Trigonométricas</u>
La identidad principal en trigonometría es:
Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.
Dado que Sen A = 4/5, calculamos el coseno:
Sustituyendo:
Tomando raíz cuadrada:
La tangente se define como:
Substituyendo:
