<span> the diagonals bisect each other, then 1/2 the longer diagonal is 13
So, (13/34) represents 1/2 of the angle that the larger diagonal bisects. The angle would be approximately 2*67, or 134°</span>
Answer:
126
Step-by-step explanation:
Can’t see your answer choices but the absolute value of -3 is 3 so I would say 3 is your answer
Answer:
Perimeter of figure = 36.3
Step-by-step explanation:
We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:
Length (L) = 9
Width (W = 4
Perimeter of rectangle (Pᵣ) =?
Pᵣ = 2(L + W)
Pᵣ = 2(9 + 4)
Pᵣ = 2(13)
Pᵣ = 26
Next, we shall determine the perimeter of semi circle. This can be obtained as follow:
Diameter (d) = 4
Pi (π) = 3.14
Perimeter of semi circle (Pₛ) =?
Pₛ = ½(πd) + d
Pₛ = ½(3.14 × 4) + 4
Pₛ = ½(12.56) + 4
Pₛ = 6.28 + 4
Pₛ = 10.28
Finally, we shall determine the perimeter of the figure. This can be obtained as follow:
Perimeter of rectangle (Pᵣ) = 26
Perimeter of semi circle (Pₛ) = 10.28
Perimeter of figure =?
Perimeter of figure = Pᵣ + Pₛ
Perimeter of figure = 26 + 10.28
Perimeter of figure = 36.28 ≈ 36.3
Take the derivitive
f'(x)=6x^2+2x-11
find where f'(x)=0
f'(x)=0 when x=-1.53089 or x=1.19756
we use a sign chart
test values to see where the signs are
(see attachment)
f'(-2)=(+)
f'(0)=(-)
f'(2)=(+)
max happens when sign changes from (+) to (-)
min happens when sign changes from (-) to (+)
according to the chart, max is at -1.53089 and min is at 1.19756
now evaluate the original function for x=-1.53089 and x=1.19756
f(-1.53089)=12.0078
f(1.19756)=-8.30405
max at (-1.53089,12) and min at (1.19756, -8.30405)
I may have rounded off differently, but
answer is 2nd option