Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
Answer:
Choice C. 14 inches
Step-by-step explanation:
Middle between 12 and 16 inches.
The required graph is attached.
I wish you were using parentheses here. I must assume (without knowing for sure) that y ou mean
a - 3/7
----------
3 - a/21
The LCD here is 21, since 7 divides into 21 without a remainder.
Thus, multiply numerator and denominator by 21:
21a - 9
-----------
63 - a
You could leave this result as is, or you could factor out 3:
7a-3
3 ---------
63-a
The nearest whole number to <span>17 5/8 would be 18.</span>
