A person drives 20 miles north and 45 miles east. What is the angle of the resultant straight to their destination?

1 answer:

7 0

Let us take east and north as the positive x and y-axes should the motion be plotted in a cartesian plane. Thus, the x value is 45 miles and the y value is 20. The tangent of an angle is equal to the ratio of y to x.

tanθ = y / x

Substituting,

tanθ = 20/45 = 0.44

The value of θ is 23.96°.

You might be interested in

Who might be suffering from dissociative fugue?

svetlana [45]

Answer:

More common in adults.

Explanation:

6 0

3 years ago

Read 2 more answers

Which of the following is the kinetic rate equation for the addition-elimination mechanism of nucleophilic aromatic substitution

Helga [31]

Answer:

Rate = k[aryl halide][nucleophile]

Explanation:

The simple aryl halides are almost inert to usual nucleophilic reagents but considerable activation on the ring can be produced by the addition of strongly electron-attracting substituents on either the ortho or para positions, or both. These groups deactivate the ring to allow the attack of the nucleophille on the ring.

Thus, these reactions can occur by following addition-elimination mechanism in which the nucleophille first attacks the aryl halide and then the elimination of the leaving group takes place.

Kinetic studies of this type of mechanism demonstrate that the reactions are of second-order kinetics– first order w.r.t. nucleophile and also, first-order w.r.t. aromatic substrate. The rate determining step (r.d.s.) is the formation of the addition intermediate.

Thus,

Rate = k[aryl halide][nucleophile]

7 0

3 years ago

A wire has a resistance of 27.2 ohms. It is melted down, and from the same volume of metal a new wire is made that is 3 times lo

solmaris [256]

Answer:

81.6 ohm

Explanation:

For a cable type conductor, the resistance is given by the following formula:

$R=\rho \frac{l}{S}$

Where:

$\rho=Material\hspace{3}resistivity\\l=Cable\hspace{3}length\\S=Cable\hspace{3}cross\hspace{3}section$

The problem doesn't give us additional information about resistivity or the cross section of the wire, so let's assume:

$S=constant\\\rho=constant$

Then, in this case, the resistance of the cable depends only on the length. Therefore, if its resistance was originally 27.2 ohms, if we triple its length, it makes sense that its new resistance is three times the original. Thus:

$R=3*(27.2)=81.6ohm$