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slega [8]
3 years ago
9

The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi

ps.
Mathematics
2 answers:
Anna35 [415]3 years ago
5 0
We know that

The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

123-63=60°

 Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.

Hence
the answer is
the distance between the two ships is 8 miles apart

alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles


zhenek [66]3 years ago
4 0

Answer:

A

Step-by-step explanation: believe me or not i dont really care

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find the two angles measures from the diagram 7x+9 5x+3 there's 3 answers 1. 73 and 73 2. 107 ,107 3.107 and 73 this is so confu
viva [34]

Answer:

<h2>107 and 73</h2><h2 />

Step-by-step explanation:

supplementary angle

7x + 9 + 5x + 3 = 180

12x = 180 - 3 - 9

x = 168 / 12

x = 14

plugin x=14 into the equation

= 7x + 9

= 7(14) + 9

= 107°

plugin x=14 into the equation

= 5x + 3

= 5(14) + 3

= 73°

4 0
3 years ago
Of the 50 people who started a math class meeting at 10:00 each morning, only 37 finished the class. What fraction of people fin
saveliy_v [14]

Answer:

37/50

Step-by-step explanation:

So 37 out of 50 who finished the class, so 37/50 .

And you can't simplify it.

6 0
3 years ago
Four handbags and three school bags cost $2000 . The cost of the handbag is thrice as much as the school bag. If the cost of the
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8 0
2 years ago
Read 2 more answers
Solve the equation : <br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%
Debora [2.8K]

Answer:

General solution is

 x = n \pi + \frac{\pi }{8}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }

<u><em>Step(ii):-</em></u>

<u><em></em></u>\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }<u><em></em></u>

cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x

cos (\frac{\pi }{4}+x ) = cos 3 x

<u><em>Step(iii):-</em></u>

<u><em>General solution of  cos x = cos ∝  is  x = 2 nπ+∝</em></u>

<u><em>we have </em></u> cos (\frac{\pi }{4}+x ) = cos 3 x

The general solution of  cos (\frac{\pi }{4}+x ) = cos 3 x is

⇒  3 x   = 2 n \pi  + (\frac{\pi }{4}+x )

⇒ 3 x- x = 2 n \pi + \frac{\pi }{4}

 2x = 2 n \pi + \frac{\pi }{4}

<em><u>final answer</u></em>:-

General solution is

 x = n \pi + \frac{\pi }{8}

             

8 0
3 years ago
a snail travels at a rate of 2.28 feet per minute. write a rule to describe the function. how far will the snail travel in 9 min
12345 [234]

Answer: y=2.28x ; 20.52 feet in 9 minutes.

Step-by-step explanation:

X represents the minutes the snail travels, 2.28 represents traveling that many feet for every minute. Plug in the 9 (minutes) for x and multiply to get 20.52 feet.

5 0
3 years ago
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