Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from angle I, we know the opposite side and the hypotenuse. Therefore, we should use sine.
sin(I) = 
To solve, you can use your calculator and the inverse sine function (sin^-1).
I = sin^-1(
)
I = 61 degrees
Hope this helps!
Answer:38
Step-by-step explanation:
no
Answer:
Tenía que hacerlo en menos de 2 minutos a más de 240 km/h
Step-by-step explanation:
La velocidad normal dada para completar el circuito de 6.000 metros = 240 km/h
El tiempo normal que se tarda en completar el circuito de 6000 metros = 2 minutos
Dado que Hamilton estableció el récord de vuelta, el tiempo que tuvo que hacer para recorrer el récord de vuelta es de 6000 metros en menos de 2 minutos
La velocidad media con la que lo hizo es de más de 240 km/h.
The other factor would be (x + 4). We can find this by using synthetic division. To do this, we must first find the divisor, which would be 9, if we let x - 9 equal to zero and solve for x. Then, for the dividend, we can use the coefficients and constant term values.
<u>9</u>| 1 -5 -36
<u> 9 36</u>
1 4 0
Therefore, the other expression (x + 9) would be (x + 4). Hope this helped!
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.