75g of flour and 135 ml of milk are used to make 12 biscuits. How much flour is needed to make 30 biscuits?
1 answer:
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Answer:
- a) 16.4 m, 101°
- b) 6.22 m, 51 m²
Step-by-step explanation:
<u>Find the measure of angle Q:</u>
- 50° + (180° - 130°) = 100°
a) <u>Find PR using the law of cosines:</u>
- PR = √(8² + 13² - 28*13*cos 100°) = 16.4 m (rounded)
<u>Find ∠P using law of sines:</u>
- 16.4/sin 100° = 13/ sin P
- m∠P = arcsin (13 sin 100° / 16.4) = 51° (rounded)
<u>The bearing of R from P is:</u>
- 50° + 51° = 101°
b)
<u>Find the measure of h, the distance from Q to PR:</u>
- h/ PQ = sin P
- h = PQ sin P
- h = 8 sin 51° = 6.22 m
<u>Find the area of ΔPQR:</u>
- A = 1/2PR*h
- A = 1/2(16.4)(6.22) = 51 m²
