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Answer:


Step-by-step explanation:
We need to simplify

We collect LCM to get;

Therefore:

Also we need to simplify:

We collect LCM to get;

Therefore

Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° =
=
=
( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD =
≈ 20.92 cm
using the sine rule in Δ BCD
=
, that is
=
( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD =
≈ 26.0 cm ( to 3 significant figures )
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° =
, then
cos30° =
=
=
( cross- multiply )
2x = 20
( divide both sides by 2 )
x = 10
→ B
Carolyn has more than enough paint to cover that wall because she has a gallon of paint that can be done to get the wall painted.