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3 years ago

Find the direction angle of v for the following vector.

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

Answer:

θ = -36.9° or +323.1°

Step-by-step explanation:

θ = arctan(-6 / 8) = -36.86989...

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In what positive integral number base is 231 double 113

ad-work [718]

Answer:

Base 5

Step-by-step explanation:

We want to determine the base at which:

113 X 2 =231

We consider the last number of the result (231).

The base must be a number such that:

3 X 2 will have a remainder of 1.

3 X 2 = 6 = 5 Remainder 1

Therefore:

113 X 2 =231 in positive integral number base 5.

5 0

3 years ago

Please Please help me.

AURORKA [14]

Answer:

Step-by-step explanation:

Factorial means multiply that number and all numbers below it

3! = 3*2*1 = 6

0! =1

2! = 2*1 = 2

1! =1

6*1

------

2*1

6/2 =3

8 0

3 years ago

If a bus travels to a town 29 miles away, how long will it take to get there going 45 mph?

m_a_m_a [10]

S=d/t
45=29/t
t=45/29
convert to min

t=45/29 *60=38.66min

5 0

3 years ago

Amy ate of a pizza and Jack ate of a pizza. Which of the following is true?

pav-90 [236]

Answer:

Step-by-step explanation:

. portion of pizza eaten by Amy = portion of pizza eaten by Jack because it doesn't tell us information how much did they ate.

8 0

3 years ago

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$

Second triangle:

$tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft$

Now, the total height of the statue will be:

$TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft$

Have a nice day!

8 0

3 years ago