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sergiy2304 [10]
3 years ago
7

A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

Answer:

A on Egde

Step-by-step explanation:

i got it right

iogann1982 [59]3 years ago
6 0

Answer:

The directional earing is N 30° E

Step-by-step explanation:

The given velocity vector is (25, 25·√3), therefor, we have;

R = 25·i + 25·√3·j

The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)

Where;

(x, y) = The coordinate of the components of the velocity of the boat

Therefore;

Arctan (y/x)  =  Arctan (25·√3/25) = Arctan (√3) = 60° North of East

The directional bearing which is the bearing relative to the northern direction is given as follows;

The directional earing = 90° - 60° = N 30° E.

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suter [353]

Answer:

The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)

Step-by-step explanation:

Starting equation... f(x) = 9.16(1.0054)ˣ

Visually rewritten... y = 9.16(1.0054)ˣ

Flipping x and y... x = 9.16(1.0054)ʸ

Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ

Taking the log of both sides... log (x/9.16) = y log (1.0054)

Isolating y... log (x/9.16)/log (1.0054) = y

Solution... y = log (x/9.16)/log (1.0054)

6 0
2 years ago
Find the volume of the cylinder.<br> Either enter an exact answer in terms of π or use 3.14 for π
Alex787 [66]

Answer:

Volume of the cylinder = 62.80 units^3

Step-by-step explanation:

Height of the Cylinder(h)=5 units

Radius(r)=2 units

Volume of a cylinder=\pi *r*r*h

     Putting the values in the formula;

Volume of the cylinder =\pi *2*2*5

                      As,   \pi =\frac{22}{7}=3.14                        

Volume of the cylinder=  3.14*2*2*5

                                 =3.14*2*2*5\\\\=3.14*4*5\\\\=3.14*20\\\\=62.80units^3                              

The Volume of the cylinder is 62.80 units^3

7 0
3 years ago
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miskamm [114]

Answer:

x = -5

Explanation:

4(2x + 10) = 0

[ Simplify both sides of the equation ]

4(2x + 10) = 0

(4)(2x) + (4)(10) = 0 [Distribute]

8x + 40 = 0

[ Subtract 40 from both sides ]

8x + 40 − 40 = 0 − 40

8x = −40

[ Divide both sides by 8 ]

8x  / 8 = −40 / 8

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4 0
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ki77a [65]

Answer:

$2,543.84 is your answer.

Step-by-step explanation:

What you do first is you have to figure out the 5.99% interest rate.

150 x 5.99 = 8.99

150 + 8.99 = $158.99

Now multiply that by 16

158.99 x 16 = $2,543.84 is your answer.

4 0
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Answer:

Step-by-step explanation:

You will be more likely to eat one with caramel

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