HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE

The value of the angle subtended by the distance of the buoy from the

port is given by sine and cosine rule.

Reasons:

Location from which the ship sails = Port

The speed of the ship = 10 mph

Direction of the ship = N35°W

Location of the warning buoy = 5 miles north of the port

Required: The bearing of the warning buoy from the ship after 7.5 hours.

Solution:

The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Where;

a = The distance between the ship and the buoy

b = The distance between the ship and the port = 75 miles

c = The distance between the buoy and the port = 5 miles

Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°

Which gives;

a = √(75² + 5² - 2 × 75 × 5 × cos(35°))

By sine rule, we have;

[tex]\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}[/tex]

Therefore;

[tex]\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}[/tex]

Which gives;

[tex]\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}[/tex]

[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}[/tex]

Similarly, we can get;

[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}[/tex]

The angle subtended by the distance of the buoy from the port, C is therefore;

C ≈ 180° - 142.68° - 35° ≈ 2.32°

By alternate interior angles, we have;

The bearing of the warning buoy as seen from the ship is therefore;

Bearing of buoy ≈ 270° + 35° + 2.32° ≈ 307.35°

Learn more about bearing in mathematics here:

https://brainly.com/question/23427938

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 125 from both sides.

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

2. (Solving)

Step 1: Subtract 55 from both sides.

Therefore, d = 55.

Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest

Step-by-step explanation:

[tex] \frac{8 - \sqrt{ - 36} }{2} \\ = \frac{8 - \sqrt{ 2 \times \: 2 \times 3 \times - 3} }{2} \\ = \frac{8 -2 \sqrt{ - 9} }{2} \\ = \frac{2(4 - \sqrt{ - 9} )}{2} \\ = 4 - \sqrt{ - 9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Unfortunately, the problem could not be solved because there is a minus in √36. This basically means that this problem has no answer. Remember, if there is a minus in a root system, that basically means that the answer is Un-defined.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

Solution here,

1 US dollar=NRS 120.74

Therefore Rs 180000= 180000/120.74

=$1490.99

Answer:

x = 9

Step-by-step explanation:

3 ㏒₄x  = 2 ㏒₄27

㏒₄ x³ = ㏒₄ 27²

As ㏒₄ = ㏒₄

You can write this as,

x³ = 27²

x ³ = 27 × 27

x³ = 3³ × 3³

x ³ = 3⁶

x ³ = 729

x ³ = 9³

There fore,

x = 9

Hope this helps you :-)

Answer:

54 minutes

Step-by-step explanation:

4 Dozen is 48

So we will need to know how many 18 minutes it takes to back 144 donuts

So divide 144 by 48

Which is 3

So you will need 3, 18 minutes to make 144 donuts

Now multiply 18 by 3 which is 54

So it takes 54 minutes to bake 144 donuts

Hope this helps!

Step-by-step explanation:

4 Dozen = 4 x 12 = 48 every 18 minutes

144/48 = 3

3 x 18 = 54 minutes

Answer: Situation:

Step-by-step explanation:

You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!

:)

According to the calculation, 24 books can fit on the shelf.

Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:

Therefore, 24 books can fit on the shelf.

Learn more about maths in https://brainly.com/question/25879518

Answer:

Max

Step-by-step explanation:

Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)

Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)

1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.

Answer:

Max played the greater ratio.

Step-by-step explanation:

:)

Answer:

20 of them are managers

Step-by-step explanation:

Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05

400 x 0.05 (multiplying it will just increase your answer) and you will get 20

To check it

20/5% or 0.05 = 400

Answer:

3

Step-by-step explanation:

18/6=3

Answer:it is possible to have a triangle with the given side lengths. 7,9,13. Add any two sides and see if it is greater than the other side.

Step-by-step explanation:

Given that

Money of a man = Rs. X

Money given to his wife = half of the money

= Rs. X/2

Money given to his son = 1/4th of the money

⇛Rs. X/4

Money given to his daughter = Rs. 1200

Total money

⇛ (X/2)+(X/4)+1200 = X

⇛ (2X+X+4800/4 = X

⇛ (3X+4800)/4 = X

⇛ (3X+4800) = 4X

⇛4X=3X+4800

⇛4X-3X = 4800

⇛X = 4800

⇛X-4800 = 0 is the required equation

⇛X = 4800

The money of the man = Rs. 4800 Ans.

also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?

https://brainly.com/question/23613815?referrer

Following the proportions given in the table, it is found that in the 7th arrangement, there will be:

From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:

Hence, in the 7th arrangement, there will be:

You can learn more about proportions at https://brainly.com/question/24372153

[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]

Answer:

$4864.22 (approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

11 = 8(3q - 1)

11 = 24q - 8

11 + 8 = 24q

19 = 24q

19/24 = q

q = 0.791666666666666

q = 0.8 to 1 decimal place

Answer:

24 is divisible 6 but not 18.

Step-by-step explanation:

The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.

The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n

The number n is divisible by 6

And , the number will be divisible by 18 when it is divisible by 6

Substitute the value of n = { 24 , 30 }

The number n = 24 is divisible by 6 but not divisible by 18

And , The number n = 30 is divisible by 6 but not divisible by 18

Hence , the expression is not valid

To learn more about equations click :

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Work Shown:

sin(angle) = opposite/hypotenuse

sin(B) = AC/AB

sin(B) = 2/3

B = arcsin(2/3)

B = 41.8103 approximately

B = 41.81

Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.

Answer:

an alternative hypothesis is an angle that is alternate to each other

Answer:

x=-3

Step-by-step explanation:

x^2+6x+9=0

Factor

(x+3)(x+3) =0

Using the zero product property

x+3 =0  x+3=0

x=-3   x=-3

Solution

x=-3

Answer:

91 & 92

Step-by-step explanation:

Answer:

9.5671*9.5671=91.52940241

between 91 and 92

Hope This Helps!!!

Answer:

3y-2x-4x+5x+7

please help meeeeeeeeeeee

[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]

Answer:

1

Step-by-step explanation:

if you use a calculator, it will come up as 1. I don't know why, but it does.

Hope this helps!

Answer:

10/12 i took the test

Step-by-step explanation:

Answer:

18/4  ,  27/6   ,   36/8

Step-by-step explanation:

9 to 2 x 2 = 18 to 4

9 to 2 x 3 = 27 to 6

9 to 2 x 4 = 36 to 8