Answer:
The answer should be B. 86.7
Answer:
a
Step-by-step explanation:
i dont know
Answer:
a = 1√6
b = -2
Step-by-step explanation:
Hello,
To solve this trigonometric problem, we need to convert this values into fractions
a).
Sin45° = 1/√2
cos30° = √3/2
Sin60° = √3/2
Sin45° / (cos30° + sin60°) = [(1/√2) ÷ (√3/2 + √3/2)]
(1/√2) ÷ (√3/2 + √3/2)
Add √3/2 + √3/2
1/√2 ÷ 2√3/2
1/√2 × 2/2√3
2/2√(2×3)
2/2√6
1/√6
b
Cos 180° = -1
Sin150° = ½
Tan135° = -1
2cos180° - 2sin150° - tan135°
(2 × -1) - (2×½) - (-1)
-2 - 1 + 1 = -2
Answer:
∠ 1 = 20°, ∠ 2 = 160°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and are supplementary, that is sum to 180°
x - 12 + 5x = 180 , that is
6x - 12 = 180 ( add 12 to both sides )
6x = 192 ( divide both sides by 6 )
x = 32
Thus
∠ 1 = x - 12 = 32 - 12 = 20°
∠ 2 = 5x = 5 × 32 = 160°
x - y = 14
given the ratio x : y = 5 : 3
then let x = 5x and y = 3x, hence equation can be expressed as
5x + 3x = 56
8x = 56 ( divide both sides by 8 )
x = 7
Hence x = 5 × 7 = 35 and y = 3 × 7 = 21
Thus x - y = 35 - 21 = 14
