Answer:
Tan θ = y/z
Step-by-step explanation:
Reference angle = θ
Opposite side to θ = y
Adjacent side = z
Thus:
Tan θ = opposite/adjacent
Tan θ = y/z
Answer:
remaining length: 5y² + 6y + 12
Explanation:
new length = original length - length cut
solve for new length:
6y² + 6y + 1 - (y² - 11)
6y² + 6y + 1 - y² + 11
6y² - y² + 6y + 11 + 1
5y² + 6y + 12
Answer:
11. ∠ABC = 96°
12. (x – 2)² + (y + 3)² = 4
Step-by-step explanation:
11. The inscribe angle (the angle inside the circle, ∠ABC) is equal to half of the outer circle.
∠ABC = 1/2∠AC
∠ABC = 1/2(192°) = 96°
12. The general equation for a circle is: (x – h)² + (y – k)² = r², where
h and k are the center of the circle (h, k), and r is the radius.
Look at the graph, the circle is centered at (2, -3), so
h=2
k=-3
and the radius of the circle is 2, so
r=2
Plug it all back into the equation:
(x – h)² + (y – k)² = r²
(x – (2))² + (y – (-3))² = (2)²
(x – 2)² + (y + 3)² = 4
The measures of central tendency, fancy words for the middle, are
C. Mode
D. Mean
E. Median
