Answer:
6 35/100 or six and 35 of 100
Step-by-step explanation:
Answer:
X= and Y= 8
Step-by-step explanation:
i hope this helps and i hope you have a good day and I also hope you do well on your quiz
Answer:
1)
2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
Step-by-step explanation:
1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:
Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:
Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:
2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have
After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
The problem is modelled in the first picture shown below
To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.
We use the cosine rule to work out the length AB
(nearest whole number)
The third picture shows the full diagram of the vectors
To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B
Angle A
(rounded to nearest whole number)
Angle B
Direction is 60° toward negative x-axis
Answer: Magnitude 130N and direction 60° toward negative x-axis