The 6th term is -7. the common difference is -3.
Answer:
Theresa needs 44 pieces of woods.
Step-by-step explanation:
Given:
Length of wood required to fence = 233 feet
Length of the wood = 11 feet
Number of pieces of wood Samuel needs = 22 pieces.
We need to find number of pieces of wood required by Theresa.
Solution:
Now Given:
Theresa has twice as many feet of wood as Samuel.
So we can say that;
Number of pieces of wood Theresa need is equal to 2 multiplied by Number of pieces of wood Samuel has.
framing in equation form we get;
Number of pieces of wood Theresa need = 
Hence Theresa needs 44 pieces of woods.
Answer:
Step-by-step explanation:
Decreasing rate = 12% = 0.12
y = 2400 * (1- 0.12)^x = 2400*(0.88)^x
x = 8 years

Answer:

Step-by-step explanation:
Let the center of the circle be O.
Recall that the area of a triangle can be given by:

Where <em>C</em> is the angle between the two sides.
ΔABP is equal to the sum of ΔAPO and ΔBOP.
Let <em>a</em> = OP and <em>b</em> = OB. Since this is the unit circle and PO and BO are radii, they both equal one. <em>C</em> will be θ. Hence, the area of ΔBOP is:

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

However, note that sin(π - θ) = sin(θ). Hence:

Hence, the area of ΔABP is:

Answer:
C
Step-by-step explanation:
given the 2 equations
x + y = 0 → (1)
5x + 3y = - 8 → (2)
Rearrange (1) expressing x in terms of y by subtracting y from both sides
x = - y → (3)
Substitute x = - y into (2)
5(- y) + 3y = - 8, that is
- 5y + 3y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4
Substitute y = 4 into (3) for corresponding value of x
x = - y = - 4
Solution is (- 4, 4 ) → C