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Inga [223]
2 years ago
8

Pls help I need a good grade I’ll brainlest

Mathematics
1 answer:
expeople1 [14]2 years ago
3 0

Answer:

Step-by-step explanation:

A.

C.

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E
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A boat sails on a bearing of 038°anf then 5km on a bearing of 067°.
I am Lyosha [343]

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

7 0
3 years ago
At the nursery, the ratio of red flowers to yellow flowers is 5:4. If there are 28 yellow flowers, how many red flowers are ther
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Answer:

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1.) ( 256 * 2.4 = 640 )

2.) 250 / 20 = 2.5

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$3,427 because you take 149000 and multiply by .023 for 2.3%.
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3 years ago
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