The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ
2 answers:
Answer:
square meters
Step-by-step explanation:
The first step is to find the radius of the circle. The diameter of the circle is just the circumference divided by pi, so the diameter is 23. The radius is half of the diameter, or 23/2=11.5. Now, plugging this into the formula for the area of a circle, you get square meters. Hope this helps!
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Mr. Jackson invested $800 at 6% per year and $ 2400 at 4 % per year
<h3><u>Solution:</u></h3>Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.
Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively
Also, his annual return totaled $144
We can form following equation on the basis of question:-
a = $800
The amount of money invested at 6% = a = 800
The amount of money invested at 4 % = 3a = 3(800) = 2400
So, the amount of money invested at 6% is $800 and the amount of money invested at 4% is $ 2400
Given parameters:
Recommend wheelchari ramp slope =
Rise of the new wheel chair ramp = 22 inches
Horizontal length = 24feet
Unknown:
Is the ramp steeper than the recommended = ?
Slope is the ratio of rise to the horizontal distance covered
Mathematically;
Slope =
Slope of the wheel chair ramp;
covert 24 feet to inches;
1 foot = 12 inches
24 feet = 24 x `12 = 288inches
Slope = =
The two slopes being compared are;
and
The steeper of the first one 1/12. It has a higher slope compared to the second one.