Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:

This is a quadratic equation which can be solved using a quadratic equation as shown below:

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
Answer:
90 hours
Step-by-step explanation:
The rate at which water enters the pool is
75 gallons
-------------------
1 hour
This is equivalent to
1 hour per 75 gallons, leading to:
1 hour
-------------------- * 6,750 gallons = 90 hours
75 gallons
This can be mathematically expressed to
250 + X = 1075
where X represents the parts you produce before the shift ends
Transpose 250 to the other side by subtracting each side by 250
Thus, it goes like this
X = 1075 - 250
X = 825
You produced 825 parts in the middle of the shift.
Divide 20 by 10 you get 2 wholes with no remainder so your answer is 2