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 )
Y=2x-3 has a steeper line because the bigger the slope, the more it goes up on the y-axis for every one spot on the x-axis.
The first one goes up 2 spaces for every one it goes over, and the second one goes up one space for every 5 it goes over
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Note that
10² = 100
0.08² = 0.0064
and
101.6064 = 100 + 1.6 + 0.0064
It also happens that
1.6 = 2 • 10 • 0.08
which means
101.6064 = 100 + 1.6 + 0.0064
101.6064 = 10² + 2 • 10 • 0.08 + 0.08²
101.6064 = (10 + 0.08)²
101.6064 = 10.08²
which means
√101.6064 = 10.08
which, to one decimal place, is approximately 10.1.