Answer:
0
Step-by-step explanation:
Let us take sin(60 degree + theta) =x
Substituting x in equation
=> x-x
=> 0
Answer:
$40
Step-by-step explanation:
2 1/2 times the week
8 x 2.5 = 20
12 x 2.5 = 30
40 x 2.5 = 100
Answer:
Since 7 and 11 are both rational the sum and the difference are rational .
Step-by-step explanation:
Answer:
subtract 2x on both sides
Step-by-step explanation:
Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
=
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC =
≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° =
=
=
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )