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 )
(2.8×10¹)x⁶y⁴
<h3>Step-by-step explanation:</h3>Multiplication can be done in the usual way, then the number converted to scientific notation. Scientific notation does not apply to the variables.
_____
If you write the numbers in scientific notation to start, then do the multiplication, the effect is virtually the same: an adjustment is needed in the product to get it back to scientific notation.
(7)(4) = (7×10⁰)(4×10⁰) = 7·4×10⁰⁺⁰ = 28×10⁰ = 2.8×10¹