Answer:
65 degrees because tangent chord angles are half the size of the arc
-10= ( -4)+(-3)+(-2)+(-1)
Answer:
(-1, 19) and (3, -81)
Step-by-step explanation:
f(x) = 2x³ − 6x² − 27x
f'(x) = 6x² − 12x − 27
-9 = 6x² − 12x − 27
0 = 6x² − 12x − 18
0 = x² − 2x − 3
0 = (x + 1) (x − 3)
x = -1 or 3
f(-1) = 19
f(3) = -81
The points are (-1, 19) and (3, -81).
Answer:

Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:

Solve for x


So:


At this point, we have established that the rhombus is made up 4 triangles of the following dimensions


So, the area of the rhombus is 4 times the area of 1 triangle




Answer:
False
Step-by-step explanation:
6/12 simplifies into 1/2 (six is half of twelve) and 1/2 does not equal 1/3.
You can also plug this into a calculator and see that 6/12=0.5 and 1/3=0.333