Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = 
≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
= 
= 
( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = 
≈ 18.7 cm ( to 1 dec. place )
Answer:
6.12
1.39
4.12
12
Step-by-step explanation:
If y ∝ x, then y = kx.
So, the constant of proportionality is given by 
Case 1:
$18.36 for 3 pizzas
Therefore, the constant of proportionality is 
Case 2:
$4.17 for 3 pounds of bananas.
Hence, the constant of proportionality is 
Case 3:
$16.48 for 4 pounds of potatoes.
Hence, the constant of proportionality is 
Case 4:
2 cups of flour to make 24 cookies.
Hence, the constant of proportionality is 
(Answer)
Answer:
7 bottles
$10
Step-by-step explanation:
multiply
1/6×42= 7 bottles
5/9×18= $10
