Answer: 1260 books
Step-by-step explanation:
2/5=0.4
19000x0.4=7600
12500x0.4=5000
7600+5000=12600
1/10=0.1
12600x0.1 = 1260
Answer: ![4\ months](https://tex.z-dn.net/?f=4%5C%20months)
Step-by-step explanation:
Let be "P" the number of months Huang Yi must work as a paleontologist and "S" the number of months she must work as a sculptor to make at least $50,000
The inequality given in the exercise is:
![5500P+4500S \geq 50000](https://tex.z-dn.net/?f=5500P%2B4500S%20%5Cgeq%2050000)
Knowing that this year she worked for 6 months as a paleontologist, we can identify that:
![P=6](https://tex.z-dn.net/?f=P%3D6)
So in order to calculate the minimum number of months that Huang Yi must work as a sculptor to reach her goal, we have to substitute that value of "P" into the inequality and then we must solve for "S".
Then, we get:
![5500(6)+4500S \geq 50000\\\\33000+4500S \geq 50000\\\\4500S \geq 50000-33000\\\\4500S\geq 17000\\\\S\geq \frac{17000}{4500}\\\\S\geq 3.77](https://tex.z-dn.net/?f=5500%286%29%2B4500S%20%5Cgeq%2050000%5C%5C%5C%5C33000%2B4500S%20%5Cgeq%2050000%5C%5C%5C%5C4500S%20%5Cgeq%2050000-33000%5C%5C%5C%5C4500S%5Cgeq%2017000%5C%5C%5C%5CS%5Cgeq%20%5Cfrac%7B17000%7D%7B4500%7D%5C%5C%5C%5CS%5Cgeq%203.77)
Therefore, we can conclude <em>that minimum whole number of months that she must work as a sculptor to reach her goal is:</em>
<em>
</em>
cscx = sinx tan x + cos x
Using xsx x = 1/sin x and tan x = sin x/cos x
![\frac{1}{sin x} = sinx *\frac{sinx }{cos x} + cosx](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bsin%20x%7D%20%3D%20sinx%20%2A%5Cfrac%7Bsinx%20%7D%7Bcos%20x%7D%20%2B%20cosx%20)
![\frac{1}{sin x} = \frac{sin^2x +cos^2x}{cos x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bsin%20x%7D%20%3D%20%5Cfrac%7Bsin%5E2x%20%2Bcos%5E2x%7D%7Bcos%20x%7D%20%20)
![\frac{1}{sin x} = \frac{1}{cos x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bsin%20x%7D%20%3D%20%5Cfrac%7B1%7D%7Bcos%20x%7D%20%20)
Multiplying both sides by cos x
![\frac{cos x}{sin x} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7Bcos%20x%7D%7Bsin%20x%7D%20%3D%201%20)
cot x =1
Correct option is d .
Since each one week 65 trees are planted. The answer is B