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2 years ago

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Two ships are located 200 m and 300 m respectively from a lighthouse. If the angle formed by their paths to the lighthouse is 96

°. What is the distance between the two ships?

1 answer:

nadezda [96]2 years ago

3 0

Answer:its from applications of trignometry

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Solve for x in the equation x squared + 14 x + 17 = negative 96. x = negative 7 plus-or-minus 4 StartRoot 6 EndRoot i x = –7 ± 8

blagie [28]

Answer:

$x=-7\pm8i$

Step-by-step explanation:

we have

$x^{2} +14x+17=-96$

Equate to zero

$x^{2} +14x+17+96=0$

$x^{2} +14x+113=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +14x+113=0$

so

$a=1\\b=14\\c=113$

substitute in the formula

$x=\frac{-14\pm\sqrt{14^{2}-4(1)(113)}} {2(1)}$

$x=\frac{-14\pm\sqrt{-256}} {2}$

Remember that

$i=\sqrt{-1}$

so

$x=\frac{-14\pm16i} {2}$

$x=-7\pm8i$

7 0

2 years ago

Read 2 more answers

Which expression can be used to convert 100 USD to Japanese yen

Montano1993 [528]

As of 12:04 EST U.S.

$1=<span>112.624847Yen

So:

100USD(112.624847Y/1USD)=11262.62 Yen</span>

8 0

2 years ago

Read 2 more answers

Find dy/dx implicitly and find the largest interval of the form −a < y < a or 0 < y < a such that y is a differentia

mylen [45]

Answer:

dy/dx = -1/√(1 - x²)

For 0 < y < π

Step-by-step explanation:

Given the function cos y = x

-siny dy = dx

-siny dy/dx = 1

dy/dx = -1/siny (equation 1)

But cos²y + sin²y = 1

=> sin²y = 1 - cos²y

=> siny = √(1 - cos²y) (equation 2)

Again, we know that

cosy = x

=> cos²y = x² (equation 3)

Using (equation 3) in (equation 2), we have

siny = √(1 - x²) (equation 4)

Finally, using (equation 4) in (equation 1), we have

dy/dx = -1/√(1 - x²)

The largest interval is when

√(1 - x²) = 0

=> 1 - x² = 0

=> x² = 1

=> x = ±1

So, the interval is

-1 < x < 1

arccos(1) < y < arxcos(-1)

= 0 < y < π

6 0

2 years ago

Patient A receives 3 times the amount of a certain medication as Patient B. The two doses add to 200 milligrams. What amount of

EastWind [94]

Answer:

Patient A - 150 mg

Patient B - 50 mg

Step-by-step explanation:

Since patient A gets three times more, 50 times 3 is 150. 150 plus 50 is 200, therefore, patient A gets 150 mg and patient B gets 50 mg. I hope this helps :)

5 0

2 years ago

Two planes, which are 3400 miles apart, fly toward each other. Their speeds differ by 80mph. If they pass each other in 5 hours,

Andreas93 [3]

Answer : The speed of both planes is 61.25 mph and 18.75 mph respectively.

Explanation:

Let the speed of first plane be x mph

Let the speed of second plane be y mph

Since we have given that difference of speeds is 80 mph

i.e. x - y= 80 ( $Eq^n$ 1)

Distance between two planes = 3400 miles

As they are flying towards each other i.e. they are in the opposite direction.

So, Relative speed will be the sum of their speeds i.e.

Relative speed = x + y

And we know speed = $\frac{Distance}{Time}$

Speed= $\frac{3400}{80}$

⇒ Speed = 42.5 mph

Hence, Relative speed becomes 42.5 mph

⇒ x+y=42.5 ( $Eq^n$ 2)

Now, by using the elimination method of solving the system of equation, we have ,

x= 61.25 mph

and y = 18.75 mph

4 0

2 years ago