Answer: He needs 9 hours to finish the task.
Step-by-step explanation:
Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).
300-75 = 225
He needs to fill 225 gallons.
Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :
25 g / 1h
For 225 gallons:
225 g / x hours
Solving for x
25/1 = 225/x
x= 225/ (25/1)
x = 9 hours
Answer:
Third answer (she is incorrect because she should have squared each leg length and then found the sum.)
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).
This matches with the third answer, as she has to do a² and b≥ separately.
**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!
Answer:
44 square units
Step-by-step explanation:
The area of the 2 upper triangles is:
2 * ((1/2) * b * h) = 2 * ( (1/2) * 4 * 3) = 2 * 6 = 12
The area of the rectangle in the middle of the figure is:
b * h = 8 * 3 = 24
The area of the lower triangle is:
1/2 * b * h = 1/2 * 2 * 8 = 8
The area of the composite figure is:
Area of the 2 upper triangles + area of the rectangle + the area of the lower triangle = 12 + 24 + 8 = 44 square units (area is always given in square units)
Answer:
5:2
10:4
15:6
20:8
Is this what format you wanted the answer?
Step-by-step explanation: