Answer:
Part 1) ![A=126.87^o](https://tex.z-dn.net/?f=A%3D126.87%5Eo)
Part 2) ![tan(A)=-\frac{4}{3}](https://tex.z-dn.net/?f=tan%28A%29%3D-%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
we have
![cos(A)=-0.6](https://tex.z-dn.net/?f=cos%28A%29%3D-0.6)
The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive
The angle A lie on the II Quadrant
step 1
Find the measure of angle A
![cos(A)=-0.6](https://tex.z-dn.net/?f=cos%28A%29%3D-0.6)
using a calculator
![A=cos^{-1}(-0.6)=126.87^o](https://tex.z-dn.net/?f=A%3Dcos%5E%7B-1%7D%28-0.6%29%3D126.87%5Eo)
step 2
Find the sin(A)
we know that
![sin^2(A)+cos^2(A)=1](https://tex.z-dn.net/?f=sin%5E2%28A%29%2Bcos%5E2%28A%29%3D1)
substitute the value of cos(A)
![sin^2(A)+(-0.6)^2=1](https://tex.z-dn.net/?f=sin%5E2%28A%29%2B%28-0.6%29%5E2%3D1)
![sin^2(A)=1-0.36](https://tex.z-dn.net/?f=sin%5E2%28A%29%3D1-0.36)
![sin^2(A)=0.64](https://tex.z-dn.net/?f=sin%5E2%28A%29%3D0.64)
![sin(A)=0.8](https://tex.z-dn.net/?f=sin%28A%29%3D0.8)
step 3
Find tan(A)
we know that
![tan(A)=\frac{sin(A)}{cos(A)}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7Bsin%28A%29%7D%7Bcos%28A%29%7D)
substitute the values
![tan(A)=\frac{0.8}{-0.6}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B0.8%7D%7B-0.6%7D)
Simplify
![tan(A)=-\frac{4}{3}](https://tex.z-dn.net/?f=tan%28A%29%3D-%5Cfrac%7B4%7D%7B3%7D)
<span>15 is 10% what number? in equation form is 15/10% = X.We need to first convert the percentage to an equivalent decimal to do our calculation.<span>Converting a percentage to a decimal we remove the percentage sign and divide by 100.</span></span>
Answer:
Kindly check explanation
Step-by-step explanation:
The prevalence per 1000 among the exposed :
Total number of diseases among those exposed = 60 + 238 = 298
Prevalence per 1000 among the exposed :
(298 / 9000) * 1000 = 33.11
Prevalence per 1000 among the non exposed :
((90 - 60) + (268 - 238)) / 3000
(60 / 3000) * 1000 = 20
Incidence rate per 1000 among the exposed :
238 / 5940 * 1000
0.0400673 * 1000 = 40.07
Incidence rate per 1000 among the unexposed :
((90 - 30) / (3000-30)) * 1000
(60/2970) * 1000 = 20.2