Answer:
Base = 11 cm
Height = 13 cm
Step-by-step explanation:
It is given that the height of a triangle is 2 centimetres more than the base.
Let x cm be the base of triangle. So height of the triangle is x+2 cm.
It is given that if the height is increased by 2 centimetres while the base remains the same, the new area becomes 82.5 centimetres square.
New height = (x+2)+2 = x+4 cm
Area of a triangle is
Splitting the middle term, we get
Using zero product property, we get
Base of a triangle can not be negative, therefore x=11.
Base = 11 cm
Height = 11+2 = 13 cm
Therefore, the base of original triangle is 11 cm and height is 13 cm.
Answer:
With monthly compounding, the bank will calculate interest on your account just once per month. It will not update your balance on a daily basis when it calculates how much interest it owes you. Assuming that the APR is the same, accounts with monthly compounding offer a lower APY than accounts with daily compounding.
Answer:
0.05
Step-by-step explanation:
1)
area of half of the circle: 628.32
are of parallelogram: 4000
Exact area of shaded: 3,371.68 cm squared.
The answer to the equation under the shape is: A = 4000 - 628.32 π in²
2)
area of both circles added together: 173.18
full area of rectangle: 220.5
Exact area of shaded: 47.32
The answer to the equation under the shape is: A = 220.5 - 173.18 π in²
Hope this helps!
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