Answer: See explanation
Step-by-step explanation:
a) How much-water will be in the water storage facility in 25 minutes?
Since the city water workers begin filling it at a rate of 500 gallons per minute, in 25 minutes they'll have filled:
= 500 × 25
= 12500 gallons
It immediately begins sending some of its water into the city's water pipes at a rate of 150 gallons per minutes. In 25 minutes, they'll have sent:
= 150 × 25
= 3750 gallons
Amount that'll be left in the tank will be:
= 12500 - 3750
= 8750 gallons
b. Write an equation to find the number of gallons,y,in the storage facility after x minutes. This will be:
y = (500 × x ) - (150 × x)
y = 500x - 150x
y = 350x
Answer:
c would be your answer
Step-by-step explanation:
Answer:
student a because the line has a negative slope not a positive slope
Step-by-step explanation:
Answer:
Step-by-step explanation:
(cos A+ cos B)-cos C
![=2cos \frac{A+B}{2}cos \frac{A-B}{2}-cos C~~~...(1)\\A+B+C=180\\A+B=180-C\\\frac{A+B}{2}=90-\frac{C}{2}\\cos \frac{A+B}{2}=cos(90-\frac{C}{2})=sin \frac{C}{2}\\cos C=1-2sin^2\frac{C}{2}\\(1)=2 sin \frac{C}{2} cos \frac{A-B}{2}-1+2sin^2\frac{C}2}\\=2sin\frac{C}{2}[cos \frac{A-B}{2}+sin \frac{C}{2}]-1~~~...(2)\\\\now~again~A+B+C=180\\C=180-(A+B)\\sin\frac{C}{2}=sin(90-\frac{A+B}{2})=cos \frac{A+B}{2}\\(2)=2sin\frac {C}{2}[cos \frac{A-B}{2}+cos \frac{A+B}{2}]-1\\](https://tex.z-dn.net/?f=%3D2cos%20%5Cfrac%7BA%2BB%7D%7B2%7Dcos%20%5Cfrac%7BA-B%7D%7B2%7D-cos%20C~~~...%281%29%5C%5CA%2BB%2BC%3D180%5C%5CA%2BB%3D180-C%5C%5C%5Cfrac%7BA%2BB%7D%7B2%7D%3D90-%5Cfrac%7BC%7D%7B2%7D%5C%5Ccos%20%5Cfrac%7BA%2BB%7D%7B2%7D%3Dcos%2890-%5Cfrac%7BC%7D%7B2%7D%29%3Dsin%20%5Cfrac%7BC%7D%7B2%7D%5C%5Ccos%20C%3D1-2sin%5E2%5Cfrac%7BC%7D%7B2%7D%5C%5C%281%29%3D2%20sin%20%5Cfrac%7BC%7D%7B2%7D%20cos%20%5Cfrac%7BA-B%7D%7B2%7D-1%2B2sin%5E2%5Cfrac%7BC%7D2%7D%5C%5C%3D2sin%5Cfrac%7BC%7D%7B2%7D%5Bcos%20%5Cfrac%7BA-B%7D%7B2%7D%2Bsin%20%5Cfrac%7BC%7D%7B2%7D%5D-1~~~...%282%29%5C%5C%5C%5Cnow~again~A%2BB%2BC%3D180%5C%5CC%3D180-%28A%2BB%29%5C%5Csin%5Cfrac%7BC%7D%7B2%7D%3Dsin%2890-%5Cfrac%7BA%2BB%7D%7B2%7D%29%3Dcos%20%5Cfrac%7BA%2BB%7D%7B2%7D%5C%5C%282%29%3D2sin%5Cfrac%20%7BC%7D%7B2%7D%5Bcos%20%5Cfrac%7BA-B%7D%7B2%7D%2Bcos%20%5Cfrac%7BA%2BB%7D%7B2%7D%5D-1%5C%5C)
Answer:
x=3,2
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
