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HACTEHA [7]
1 year ago
11

A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?

Mathematics
1 answer:
Delicious77 [7]1 year ago
8 0

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

brainly.com/question/28047791

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Find the equation of the straight line with the following gradient point c) 5, (-1,-3)​
uranmaximum [27]

Answer:

y = 5x + 2

Step-by-step explanation:

Standard form of Equation of line: y = mx + c

where m = slope or gradient,

c = y-intercept

From the question we know that:

x = - 1

y = - 3

m = 5

We will substitute these values into the equation to find c.

- 3 = (5)(- 1) + c

- 3 = - 5 + c

c = - 3 + 5 = 2

Therefore the equation of this line is: y = 5x + 2

4 0
1 year ago
Which statement best describes the zeros of the function F(x) = (x-6)(* + 8x + 16)?
Alenkinab [10]

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Step-by-step explanation: apply the distributive property to factor out the greatest cmoon factor of alll three terms

3 0
2 years ago
If you go out to eat with 3 friends and your meal was $72.50, there is 6.75% sales tax
netineya [11]

After the tax and the tip are counted, we conclude that each friend must pay $30.

<h3>How much should each person pay?</h3>

We know that the meal cost is $72.50.

Now, there is a 6.75% sales tax and a 15% tip on the waiter (we assume that the tip is based on the total meal cost, after the tax is applied).

Then the total meal cost is:

C = $72.50*( 1 + 6.75%/100%) = $72.50*(1 + 0.0675) = $77.39

Now we also need to add the tip, which is a 15% of that, so the total cost with the tip included is:

C' = $77.39*(1 + 15%/100%) = $88.998 = $90

(Where we rounded up).

Then, if there are 3 friends, each one must pay:

$90/3 = $30

Each friend must pay $30.

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4 0
2 years ago
Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35
Finger [1]

Answer:

0.3(least)

0.33

0.35

0.36(greatest)

Step-by-step explanation:

Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.

To do that, we must divide 9 by 25 to get our answer of 0.36.

Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33

We now have our list, which should be ordered as:

0.3

0.33

0.35

0.36

5 0
2 years ago
What ratios are equivalent to 1:7
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