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asambeis [7]
3 years ago
8

Plz help! Is this right? Question is below!

Mathematics
1 answer:
ipn [44]3 years ago
5 0

Answer:

first one im pretty sure

Step-by-step explanation:

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A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is
Levart [38]

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

<h3>The distance from the point of departure?</h3>

The given parameters are:

  • Distance east = 40 milies
  • Distance southwards = 70 miles
  • Angle = 12 degrees

See attachment for the image of the above parameters

The distance (x) from the point of departure is then calculated using the following cosine function

a^2 = b^2 + c^2 - 2bc * cos(Ф)

So, we have:

x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)

Evaluate the exponent and the product

x^2 = 6500 - 5477.63

Evaluate the difference

x^2 = 1022.37

Evaluate the exponent

x = 31.97

Hence, the ship is 31.97 miles from its point of departure

Read more about distance and bearing at:

brainly.com/question/24142612

8 0
2 years ago
7 trillion divide by 5 is what
IgorLugansk [536]
One trillion four hundred billion
7 0
3 years ago
Positive or negative thread?<br><br><br> please help ;-;
Slav-nsk [51]

Answer:

Positive thread.

(It's making a positive slope.)

8 0
3 years ago
Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d
Vsevolod [243]

Let

g(x)--------> the translation of the function f(x)

we know that

the rule of the translation is

3 units left and 2 units down

that means

(x,y)-------> (x-3,y-2)

so

In the function f(x) the point (0,0) is equal at the point  (-3,-2) in the function g(x)

therefore

the function g(x) is equal to

g(x)=f(x+3)-2

g(x)=(x+3)^{3} -2

<u>The answer is</u>

a) the rule of the translation is (x,y)-------> (x-3,y-2)

b) The graph in the attached figure


5 0
3 years ago
A piece of wood is 12 feet long and a nail is 3 inches long. The piece of wood is how many times as long as the nail?
Softa [21]
The piece of wood is 48 times as long as the nail (12 feet = 144 inches) because 3 goes into 144 48 times.
7 0
3 years ago
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