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LenaWriter [7]
3 years ago
9

A village P is 10km from a lorry station,Q on a bearing 065°.another village R is 8km from Q on a bearing 155°.calculate; a.the

distance of R from P to the nearest kilometer and b.the bearing of R from P to the nearest degree.
Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

RP = 12.8 km

38 degrees

Step-by-step explanation:

RP = \sqrt{8^{2} + 10\\^{2}  } \\

RP = 12.8 km

angle = Inv sin = 8/12.8

angle 38.7°

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A rock is dropped from a bridge 320 feet above the river. The pathway that the rock takes can be modeled by the equation h= -16t
Marina86 [1]

Answer:

The rock will take about 4.5 seconds to reach the river

Step-by-step explanation:

* lets study the situation of the rock

- The rock is dropped means the initial velocity is zero

- The motion is free fall under earth gravity

- The rock dropped from a bridge 320 feet above the river

- The equation of the pathway is h = -16t² + 320

- When the rock reach to the ground the height will be zero

* Now lets substitute h by zero in the equation to find t

∵ h = -16t² + 320

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∴ 0 = -16t² + 320 ⇒ add 16t² to both sides

∴ 16t² = 320 ⇒ divide both sides by 16

∴ t² = 320/16 = 20

∴ t² = 20 ⇒ take √ for both sides

∴ t = √20 = 2√5 ≅ 4.5 seconds

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4 0
3 years ago
Prepare the journal entry to record the issuance of 5,000 shares of $20 par common stock for $25 per share
vagabundo [1.1K]

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value preferred stock for $65,250 cash

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2 lines are not parallel, how many solutions are there
garri49 [273]

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Sally is making bouquets of flowers with the ratio of red to white flowers being 2:3. If Sally used 12 red flowers, how many whi
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Answer:

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3 years ago
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