Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is
The length of AB is
The length of AD is
Since AB=AD, therefore ABCD is a square. The area of the of square is
The area of square is 29 units².
The area of a semicircle is
Since AB is the diameter of the semicircle, therefore the radius of the semicircle is
The area of the semicircle is
The area of the figure is
Therefore the area of the figure is 40.4 units². Option B is correct.
Answer:
Total interest = $3.41
Step-by-step explanation:
Since she can pay $72 each month we can divide the payments on monthly basis till all the money is paid.
The annual interest rate is 24.7%, so the monthly rate will be 24.7 ÷ 12= 2.058%
For the first month
With payment of $72 the remaining amount will be 189.56 - 72 = $117.56
Interest paid will be 0.02058 * 117.56 = $2.42
Total amount owed now will be 117.56 + 2.42 = $119.98
For the second month another payment of $72 is made
The remaining will be 119.98 - 72 = $47.98
Interest charged will be 0.02058 * 47.98 = $0.99
The amount owed will be 47.98 + 0.99 = $48.97
In the third month she will pay the remaining $47.98 which is within her monthly limit
Total interest paid = Sum of Amount paid each month - Initial amount spent
Total interest = {(72 * 2) +48.97} - 189.56 = $3.41
Answer:
There are 29 triangles when you count them all including non obvious ones.
Answer:
<u><em>A </em></u><u><em>quadratic function </em></u><u><em>is a second degree polynomial function. The general form of a quadratic function is this: f (x) = ax2 + bx + c, where a, b, and c are real numbers, and a≠ 0.</em></u>
5(n-4)=(4n-12)
First: Distribute 5 into n and -4.
5(n-4)=(5n)+(5*-4)= 5n-20.
Second: Subtract 4n from both sides to eliminate the variable from the right side of the equation.
(5n-20)=(4n-12)
n-20=-12
Next: Add 20 to both sides to eliminate the constant from the left side of the equation.
n-20=-12
n=8
The unknown number is 8.
