The values 5, 8/5 = 1.6 and -6 are all expansions because their absolute value is larger than 1. Note that |-6| = 6.
On the other hand, 0.9 and 3/8 = 0.375 are contractions because their distance from zero (aka absolute value) is less than 1.
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
Answer:
The first derivative of is .
Step-by-step explanation:
Let . we can determine its first derivative by Rule for the Square Root Function, Rule for Power Function, Rule of Chain and Rule for the Addition of Functions, Rule for the Subtraction of Functions, Rule for the Division of Functions:
The first derivative of is .
Plug in the value into this function
Thus, your answer will be D) -8. Let me know if you need any clarifications, thanks!
Answer:
80
Step-by-step explanation:
These angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
12x+8 = 13x+2
Subtract 12x from each side
12x+8-12x = 13x+2-12x
8 = x+2
subtract 2 from each side
8-2 =x
6 =x
Find the measure of the angle
12x+8
12*6+8
72+8
80