Answer:
F' is at (8, -10)
Step-by-step explanation:
clockwise or counter-clockwise do not matter when the rotation is 180°
Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
Answer:
h
8
Step-by-step explanation:
h-(-2)
10=h+2
10
subtract 2 on both sides to get h
8
The length of his neck is longer than the length of his forearms by 44.86 %.
<h3>Calculations and Parameters:</h3>
Given:
Length of his neck = 14.72 inches
Length of his forearm = 25.81 cm
We know that:
1 inch = 2.54 cm
So, 14.72 inches = 14.72×2.54
=37.39 cm
So, the Length of his neck becomes 37.39 cm
So, the length of his neck is longer than the length of his forearms.
The difference between them is given by
37.39-25.81
=11.58 cm
so, the Percentage of change would be
11.58/25.81 * 100
=44.86%
Read more about percentages here:
brainly.com/question/7255460
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