Mathematics High School

Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)

Two Boats Leave The Same Port At The Same Time. One Travels At A Speed Of 28 Mi/h In The Direction N

Answers

Answer 1

Answer:

  27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

  180° -50° -70° = 60°

Then the distance c can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

  c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

Two Boats Leave The Same Port At The Same Time. One Travels At A Speed Of 28 Mi/h In The Direction N

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Make a line that goes up 3 right 4 that passes through the coordinate (2,-3)

Yw ;)

Step-by-step explanation:

you understand coordinates and how to find them in the chart, yes ?

because I can't draw here, I can only give you the points through which the line has to go.

one point is, of course, (2, -3).

to find another good point we use the slope 3/4.

the slope is the ratio of y change/x change when going from one point to another.

so, we find another point with integer coordinates by e.g subtracting the slope units from the point (addition would also work) :

the other point on the line would be

(2 - 4, -3 - 3) = (-2, -6)

and then you draw a line that goes through both points.

What number president was john quincy adams.

Answers

Answer:

6

Step-by-step explanation:

john quincy adams was the 6th president

Write each phrase as a numerical or algebraic expression. 189 subtracted from t

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Answer:

t-189

Step-by-step explanation:

Simplify: 7.2 x10^4/3.0 x 10^2

Answers

Answer:

240

Step-by-step explanation:

What is the slope of the equation: 5x – 2y = 20?

Answers

Answer:

y=5/2x -10

(5/2 - slope)

Step-by-step explanation:

hope it helps

On a map, 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?

Answers

2 inches = 60 miles:

60 miles/ 2 inches = 30 miles per inch.

30 miles per inch x 9 inches = 270 total miles.

Answer: 270 miles

what is the mean,absolute,deviation aka MAD of the numbers below
82,90,75,60,77
if the answer is a decimal, round it to the nearest tenth.​

Answers

Answer:

7.44

Explanation:

MAD = 1/n sigma | xi - x of line |

calculate the compound interest on 10,000 for 6months at 2% per annum compounded quaterly

Answers

Answer:

Step-by-step explanation:

Anyone know how to answer this

Answers

Answer:

21

Step-by-step explanation:

The average rate of change of function f(x) from x = a to x = b is

[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]

Here we have

a = -1

b = 2

f(a) = f(-1) = 1

f(b) = f(2) = 64

[tex] \dfrac{f(b) - f(a)}{b - a} = [/tex]

[tex] = \dfrac{f(2) - f(-1)}{2 - (-1)} = [/tex]

[tex] = \dfrac{64 - 1}{2 + 1} [/tex]

[tex] = \dfrac{63}{3} [/tex]

[tex] = 21 [/tex]

How many 3/4s are in 2? Draw a tape diagram

Answers

Answer:

8/3, or 2 if you want a whole number

Step-by-step explanation:

Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)

https://www.coursehero.com/tutors-problems/Math-Other/20050339-Consider-the-problemHow-many-34s-are-in-2-1Describe-a-multiplicati/#best-answer

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Answers

Answer:

B

Step-by-step explanation:

There are 2 operations happening on the left side to x.

1. x is being multiplied by -4.

2. 2/5 is being added to -4x.

If you had a number for x, and you wanted to evaluate the left side, first, you would multiply the value of x by -4. Then you would add 2/5.

To solve an equation or an inequality, you do the opposite operation in the opposite order.

Since the second operation was add 2/5, to solve, you start by doing the opposite of the second operation. That means you subtract 2/5 from both sides.

Answer: B

How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18

Answers

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

https://brainly.com/question/24263570

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Answers

Answer:

[tex]x = 3[/tex]

[tex]x)=x^3-3x^2-4x+12 \\ 0 = 3x ^2 - 3x ^2 + 4x - 12 \\ 0 = 4x - 12 \\ - 4x = - 12 \\ - x = - 12 \div 4 \\ x = 3[/tex]

You deposit $5000 into a savings
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Answers

$750
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3х — бу - z = 3
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Answers

Answer:

[tex]3x - 6y - x + 3 = =[/tex]

Point C has a _____ abscissa and a _____ ordinate.



positive, negative
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Answers

Answer:

i think its b but im not that sure

Step-by-step explanation:

A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?

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Answer:

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Answers

Answer:

S=2

Step-by-step explanation:

the answer can not be higher than 2 because the inequality shows 9 is bigger than what is being added.

9 Is greater than or equal to 7+2

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Let's simpify the inequality ~

[tex]9 \geqslant s + 7[/tex]

[tex]9 - 7 \geqslant s[/tex]

[tex]2 \geqslant s[/tex]

So, the values equal to or less than 2 should be the required solutions ~

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[tex]s = 2[/tex]

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Answers

Answer:

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Step-by-step explanation:

3+5+2+6=16

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20
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Answers

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

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Answers

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

write the sentence as an equation

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Can someone please help me

Answers

Answer:

m - 46 = 54

Step-by-step explanation:

46 less than m is 54,

→ m - 46 = 54

Let's solve this equation,

→ m - 46 = 54

→ m = 54 + 46

→ [ m = 100 ]

So, the answer is 100.

what is the answer because i need help with it
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

Y=mx+b

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Answer:

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Step-by-step explanation:

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Answers

Answer:

y = x + 4 y= x − 8 25 x + y =

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Step-by-step explanation:

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Answers

Answer:

9=x

Step-by-step explanation:

80º=(8x+8)º

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72=8x

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Hope this helps :)

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