Ask question

Ask question

All categories

3 years ago

14

The components of vector a⃗ are ax = + 3.90 and ay = -4.00. What is the angle measured counterclockwise from the +x-axis to vect

or a⃗ ?

1 answer:

Genrish500 [490]3 years ago

3 0

The angle is the arctangent of the ratio of ay to ax. Since ay is negative and ax is positive, it is a 4th-quadrant angle.

... arctan(ay/ax) = arctan(-4.00/3.90) ≈ 314.27°

... about 5.48513 radians

You might be interested in

Rewrite the equation y – 4x = –9 in slope-intercept form.

Vera_Pavlovna [14]

The answer to your question is A. Y= -4x-9 because is you look at the pre written equation it shows that 4x is negative and that 9 is negative too. Also, if you rewrite an equation you have to isolate Y. Therefore A is the correct answer

3 0

2 years ago

Read 2 more answers

2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c<br>A=<br>B=<br>C= <br>Please I'm gonna fail math

aleksley [76]

9514 1404 393

Answer:

a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

(a^b)^c = a^(bc)

___

You seem to have ...

$\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)$

_____

<em>Additional comment</em>

I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.

$2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}$

Multiplication increases the number of times the base is a factor.

$(2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5$

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

$\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1$

5 0

2 years ago

Rashad walks 4 miles in 74 minutes. Express his rate as a simplified fraction

dem82 [27]

Answer:

2/37

Step-by-step explanation:

rate is 4/74 miles per minute, now both numerator and denominator can be divided by 2, so

4/74 = 2/37, which cannot be simplified further

4 0

2 years ago

How do u write 5(2x - 1) in a distributive property

Nookie1986 [14]

Answer:

5(2x-1) = 5(2x) - 5(1)

Step-by-step explanation:

The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.

It can be written as:

a(b+c) = ab + ac

or

a(b-c) = ab - ac

So, for the given question,

=>5(2x-1) = 5(2x) - 5(1)

5 0

2 years ago

The library Survey 240 people about their favorite type of movie is 50% of the people chose documentaries how many people chose

nevsk [136]

G. 36 people. There were only 36 people choose documentaries.

5 0

2 years ago