Help out on the bottom part

Answer:

6%

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

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

where is the drip at?

Answer:

D. (–2, –2); minimum

Step-by-step explanation:

It’s D you got to see the lowest part of the graph and you will call it mini except if the graph was going down you will call that point maximum.

Answer:

D. (-2, -2); minimum

Step-by-step explanation:

The vertex is the where the curve turns up/down which divides the figure into two halves.

From the given graph, the graph turns up at (-2, -2) , the graph moves down, therefore, the vertex (-2, -2); minimum.

Hope this will helpful.

Thank you.

Answer:

28

Step-by-step explanation:

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

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:

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:

$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:

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: 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:

the answer 240

Step-by-step explanation:

times 24 and 10 to get 240 m

Answer:

AA

Step-by-step explanation:

AA

Answer:

15+ 8d

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

Answer:

d. 84 yd

Step-by-step explanation:

[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]

Answer: 45.725 ( i think)

Step-by-step explanation: 2.325 + 27.9 + 15.50

Step-by-step explanation:

sorry please send a figure, there's no figure here

Answer: 3/8

Step-by-step explanation:

It’s the answer :>

Answer:

c. 3/8

Step-by-step explanation:

3/4 * 1/2 = 3/8

i multiplied both probabilities

Answer:

The answer is -0.71666666666 in decimal form.

In fraction form it is -43/60.

Step-by-step explanation:

Answer:

120 Books

Step-by-step explanation:

60% of 120 is 72

                                   ♣ explanation ♣

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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.

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Remember, Y is a variable!

Answer:

90° angle

Step-by-step explanation:

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

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:

9!

Step-by-step explanation:

Use the given functions to set up and simplify  p ( 3 ) .

-barbara  

Answer:

9

Step-by-step explanation:

p(x)= 4X-3

P(3)= 4×3-3=9

Answer:

The first one is a square! The second is none of these because its a trapezoid

Step-by-step explanation:

Answer:

7. all of the above

9. none of these

Step-by-step explanation:

graph number 7

you will see from the diagonal test that the diagonals of this shape are congruent. All four angles in the interior are congruent making it a rhombus. The outside side lengths are all equal to 6.71. Making it a rectangle. The definition of a square is if it is both a rectangle and a rhombus then it is a square.

graph number 9

you can plainly see that this is a trapazoid which is none of either of these choices.

hope this helps.

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:

x =  12 y       y = 29x

     29             12

Step-by-step explanation:

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))