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:
8
Step-by-step explanation:
6 x 9=54. 54+10=64. the square root of 64 = 8
Answer:
$2
Step-by-step explanation:
You can solve this quickly by finding the difference in prices first.
7.49 - 6.99 = .50 difference
Now - multiply 4 shirts by .50 = $2
That is the SAVINGS for 4 shirts at the cheaper place
Answer:
B. y = -5x -2
Step-by-step explanation:
Fill in the given values in the form ...
y = (slope)x + (y-intercept)
y = -5x +(-2)
y = -5x -2 . . . . simplify; matches choice B
The answer would be -4
Hope this helps