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3 years ago

Two ships leave port at the same time. One

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

Answer:

19.18 km

Step-by-step explanation:

The angle between the directions is 127 - 46 = 81

Use the law of cosines.

Let d = the distance between the ships

d^2 =10^2 +18^2 - 2*10*18 cos 81

= 100 + 324 - 360cos 81

= 424 - 360(.156434...)

= 367.6835

d = 19.18 km

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Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 - 12x - 9 =

marissa [1.9K]

Hence, the correct answer is: C) (x - 6)^2 = 45

Further explanation:

Given equation is:

$x^2-12x-9=0$

We will move the constant term on other side of the equation

$x^2-12x=9$

To complete the square, we will take the coefficient of x and divide it by 2, as we already know that one term is x.

$\frac{12}{2}=6$

So, adding (6)^2 on both sides

$(x)^2-2.x.6+(6)^2=9+(6)^2\\(x-6)^2=9+36\\(x-6)^2=45$

Hence, the correct answer is: C) (x - 6)^2 = 45

Keywords: Quadratic Equation, Solution of equation

Learn more about quadratic equation at:

#LearnwithBrainly

7 0

3 years ago

What is the ratio for sine

Sphinxa [80]

Answer:

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

Step-by-step explanation:

There is a trigonometric acronym for this which is:

Soh Cah Toa

Soh means that sine is opposite over hypotenuse.

Cah means that cosine is adjacent over hypotenuse.

Toa means that tangent is opposite over adjacent.

Let me actually write these out as fractions:

sine is $\frac{\text{opposite}}{\text{hypotenuse}}$

cosine is $\frac{\text{adjacent}}{\text{hypotenuse}}$

tangent is $\frac{\text{opposite}}{\text{adjacent}}$

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

4 0

3 years ago

The vertices of a triangle are located at X(-2,-1), Y(2,5) and Z(4,3). What is the perimeter of this triangle?

Lana71 [14]

If you plot the points you will find you have to use the distance formula. Pick out 2 pairs label them (x1,y1) (x2,y2) then plug it into the distance formula. The repeat for the other sides. So you should get (2,5) (4,3) plug into distance formula what is get it distance between those two points, then (4,3) (-2,-1) plug into distance formula to get an answer, lastly (-2,-1) (2,5) plug in. Now you have three answers add all together and here is your perimeter of a triangle.

3 0

3 years ago

BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!

kramer

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The ratio of the angle measures of a triangle is 1:3:5. Find the angle measures. Then classify the triangle by its angle measure

ExtremeBDS [4]

A triangle has 180 degrees. You can find the total sum of the ratio by adding its parts together 1+3+5 = 9 Now to find out what each part of the ratio is worth we divide the whole value (180) by the sum of the ratio parts (9)
180/9 = 20

Now we multiply each part of the ratio by 20
1 * 20 = 20
3 * 20 = 60
5 * 20 = 100

Since we have an angle greater than 90 degrees this is an obtuse triangle.

4 0

4 years ago