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Andrej [43]
2 years ago
14

Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west a

t 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Mathematics
1 answer:
sergeinik [125]2 years ago
5 0

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

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Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
2 years ago
Can somebody help with this question i attached a screen shot of the question and what it's asking for.
Troyanec [42]
Answer: x = 6
explaination:
ac= 2ao
ao=3 so ac= 2(3) which is six

so 5x-24=6
x=6
7 0
2 years ago
How would you solve this?
siniylev [52]

Answer:

Step-by-step explanation:

hello :

(x-4)²(x+3)² = -1

means : ((x-4)(x+3))² = - 1 this equation has no solutions in R

because for all x in R : ((x-4)(x+3))² ≥ 0

3 0
2 years ago
How old am I if 2 times my age increased by 244 is 400?
ikadub [295]

Answer:

78

Step-by-step explanation:

400-244=156

156/2=78

8 0
2 years ago
Read 2 more answers
Plz I really need help and thank youuu
Inessa [10]
For this problem I got p=6
8 0
2 years ago
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