I need an Answer Immediately pls!!!!!!!!!

Answer: [tex]24.02\ mph[/tex]

Step-by-step explanation:

Given

Boat is traveling due to north at [tex]v_{bf}=27\ mph[/tex]

The current is flowing [tex]60^{\circ}[/tex] west of south at [tex]v_f=8\ mph[/tex]

Suppose the actual velocity of boat is [tex]\vec{v_b}[/tex]

In vector notation we can write

[tex]\Rightarrow \vec{v_{bf}}=\vec{v_b}-\vec{v_f}\\\\\Rightarrow \vec{v_b}=\vec{v_{bf}}+\vec{v_f}[/tex]

Flow of current can be written as

[tex]\Rightarrow \vec{v_f}=-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}[/tex]

Insert the values of vectors

[tex]\Rightarrow \vec{v_b}=27\hat{j}-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+27\hat{j}-4\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+23\hat{j}[/tex]

Magnitude of the velocity is

[tex]=\sqrt{(4\sqrt{3})^2+(23)^2}\\=\sqrt{48+529}\\=24.02\ mph[/tex]

The actual direction and magnitude of the velocity of the boat is the sum of

the velocity of the boat and the velocity of the current both in vector form.

Reasons:

Direction of the boat = North

Speed of the both = 27 mph

Direction of the current = 60° west of south

Speed of the current = 8 mph

Required:

The actual speed and direction of the boat written in magnitude and

direction.

Solution:

The velocities given in vector form are;

Velocity of the boat, [tex]\vec {v}_{boat}[/tex] = 27·j

60° west of south = 30° south of west

Therefore;

Velocity of the current, [tex]\vec{v}_{current}[/tex] = -8 × cos(30°)·i - 8×sin(30°)·j

The actual velocity of the boat, [tex]\vec{v}_{actual}[/tex] = [tex]\mathbf{\vec {v}_{boat}}[/tex] + [tex]\mathbf{\vec{v}_{current}}[/tex]

Which gives;

[tex]\vec{v}_{actual}[/tex] = 27·j - 8 × cos(30°)·i - 8 × sin(30°)·j

[tex]\vec{v}_{actual}[/tex] = 23·j - (4·√3)·i

Therefore;

[tex]\vec{v} _{actual}[/tex] = -(4·√3)·i + 23·j

Which gives;

[tex]|v_{actual}|[/tex] = √((-4·√3)² + 23²) = √(577) ≈ 24.02

The actual direction of the boat, θ, is given by the arctangent of the ratio

of the vertical to the horizontal component of the velocity as follows;

[tex]\displaystyle \theta = arctan \left(\frac{23}{-4 \cdot \sqrt{3} } \right) \approx \mathbf{-73.24^{\circ}}[/tex]

Based on the horizontal and vertical component, the above angle θ is

approximately 73.24° relative to the negative x-axis, which is 90° - 73.24° =

16.76° west of north.

Therefore;

Learn more about vector quantities here:

https://brainly.com/question/1614684

Answer:

90° angle

Step-by-step explanation:

Every time you see an angle that has a box, it measures 90°

Answer:

The answer is -0.71666666666 in decimal form.

In fraction form it is -43/60.

Step-by-step explanation:

Answer:

D, 144

Step-by-step explanation:

Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.

Answer:

4.974

Step-by-step explanation:

Answer:

4 tens, 3 twenties

Step-by-step explanation:

4 tens  ($40) and 3 ($60)  twenties work. I’m sorry I don’t have a formula for it though.

Answer:

Total amount pay for new apartment = $4,740.75

Step-by-step explanation:

Find:

Total amount pay for new apartment

Computation:

Particular                                       Amount

Monthly rent of apartment           $1,650

Add:

Application fee [1,650 x 1.5%]      $24.75

Credit application fee                   $30

Security rent                                  $1,650

Broker's fee [1,650 x 12 x 7%]      $1,386

Total                                               $4,740.75

Total amount pay for new apartment = $4,740.75

Answer:

A = -7/9

Step-by-step explanation:

7 / -9  

Move the negative to the top

-7 / 9

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\text{A) }\frac{-7}{9}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻ [tex]\boxed{\text{Equivalent Faction}}\\\\\rightarrow \frac{7}{-9}= -0.77777...... \leftarrow\\\\------------\\\text{Option A: } \frac{-7}{9} = -0.77777......\\\\\text{Option B: } \frac{-7}{-9}= 0.77777......\\\\\boxed{\text{Recall that if two numbers have the same sign then the product or quotient would be positive.}}\\\\\text{Option C: }\frac{7}{-(-9)}=\frac{7}{9} = 0.77777......\\\\\text{Option D: } \frac{-(-7)}{9}=\frac{7}{9} = 0.77777......[/tex]⸻⸻⸻⸻

Option A's fraction is equivalent.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

$250

Step-by-step explanation:

To find the total multiply 6.25 and 40 together

6.25x40

$250 (Don't forget the dollar sign)

Answer:

250

Step-by-step explanation:

If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250

Answer:

so this is the correct answer right

Answer:

[tex]\frac{39}{8}[/tex]

Step-by-step explanation:

Multiply the numerators: [tex]13*3= 39[/tex]

Multiply the denominators: [tex]4*2=8[/tex]

Final answer: [tex]\frac{39}{8}[/tex]

It is in simplest form, by the way.

Answer:

(Sin A + Cos A)/Sin A. Cos A

Step-by-step explanation:

As we know

Sec A = 1/Cos A

and Cosec A = 1/Sin A

Given Equation

Sec A + Cosec A

Substituting the given values, we get -

1/cos A + 1/Sin A

(Sin A + Cos A)/Sin A. Cos A

Answer:

-4/5

Step-by-step explanation:

Rise over run helps, since the line is negative the slop will be to. Just pick a spot that is whole/on the dot, and rise/fall as down or up until the next spot that's whole, then you 'run' over to the point. (Ex. (0,0) (5,4))

                                   ♣ explanation ♣

--------------------------------------------------------------------------------------

It may seem crazy that the value of Y > 5 can be anything, but it can be. Y greater than 5 basically means that Y is any number over 5 and has no exact value.

--------------------------------------------------------------------------------------

Remember, Y is a variable!

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]

[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]

Using trigonometry ratio, we have:

[tex]|D | = 1[/tex]

(b)

[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 2 * 2 - 0 * 0[/tex]

[tex]|D| = 4 - 0[/tex]

[tex]|D| = 4[/tex]

(c)

[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 0 * 0 -(-i * i)[/tex]

[tex]|D| = 0 +i^2[/tex]

[tex]|D| = i^2[/tex]

In complex numbers

[tex]i^2 = -1[/tex]

So:

[tex]|D| = -1[/tex]

So, the order of the determinants is: c, a, b

Answer:

#1

Shaded area:

#2

Shaded area:

219.75cm²

3.14cm²

Answer:

Solution given:

1.

[r]radius of each circle =32/8=4cm

[l]length of square=32cm

Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²

Step-by-step explanation:

radius for big circle [R]=2cm

radius for small circle [r]=1cm

area of shaded region=area of big semi circle -2 area of semi small circle

=½πR²-2*½πr²

=½*π*2²-π*1²

=2π-π

=π=3.14cm²

Answer:

28

Step-by-step explanation:

[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]

Answer:

Its definitley square to be precise so that's my answer, but its also a rhombus

Step-by-step explanation:

assuming a is 1, regardless, graph would always be square, which is a rhombus. hope  square is correct :)

Answer:

10

Step-by-step explanation:

where is the drip at?

Answer:

the answer 240

Step-by-step explanation:

times 24 and 10 to get 240 m

Answer:

The answer is 6.3

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Answer:

it will be opened but if it's for the < and > with a line underneath each of them, the circle with be closed

Answer:

hi

Step-by-step explanation:

To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.

Answer:

Step-by-step explanation:

let the missing angle be x

take 65 degree as reference angle

use tan rule

tan 65=opposite/adjacent

2.14=x/7

2.14*7=x

14.98=x

Answer: Students have less than a dollar.

Step-by-step explanation:

Niall has $1/2

Mary has $1/10

Jack has $1/100

Add these up to see if they reach 1.

= 1/2 + 1/10 + 1/100

Convert to decimals by dividing the numerator by the denominator:

= 0.5 + 0.1 + 0.01

= $0.61

Students have less than a dollar.

Answer:

x =  12 y       y = 29x

     29             12

Step-by-step explanation:

Answer:

AA

Step-by-step explanation:

AA

Answer:

15+ 8d

After d day,she has read 15 +8d pages