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2 years ago

What is the angle between the given vector and the positive direction of the x-axis?

Mathematics

1 answer:

jeka57 [31]2 years ago

6 0

The angle is 75.52 degrees

If there is a vector with the form a i + b j, the cosine of the angle between the given vector and the positive direction of the x - axis is calculated as:

cos θ = $a/\sqrt{a^{2}+b^{2} }$

So, given the vector i+ $\sqrt{15 j$ , the cosine of the angle between the vector and the x-axis is:

cos θ = 0.25

Therefore, the angle θ between the given vector and the positive direction of the x-axis is:

θ = cos-1(0.25) = 75.52

For more information about angles, visit

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Design minimal 2-level AND-OR and NAND-NAND realizations of the following logic function. Draw circuit diagrams of your realizat

Delicious77 [7]

Answer:

Realization :

since there are 3-variable. Therefore 2ⁿ = 2³ = 8

From the attached solution, f(x,y,z) = y' + xz'

also' see the circuit diagrams of my realizations of AND-OR and NAND-NAND

Step-by-step explanation:

See attached picture for minimal 2-level AND-OR and NAND-NAND of the logic function.

f(x,y,z) = y' + xz' was designed from the function f(x,y,z) = Σm(0,1,4,5,6)

Then, minimal 2-level AND-OR was designed and after was NAND-NAND designed as well.

5 0

3 years ago

A way to write numbers by showing the digits 0-9 with each digit having a place value

ExtremeBDS [4]

0 has none and 9 has 9 place value i think lol

4 0

3 years ago

Identify the domain of the following rational expression:

Zinaida [17]

The domain for the rational expression as given in the task content is; All real numbers except -5.

<h3>Domain of Rational functions</h3>

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

Read more on rational functions;

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4 0

2 years ago

Which of the following pairs of functions are inverses of each other?

AnnyKZ [126]

Answer:

Step-by-step explanation:

Rearrange each function to solve for x.

Switch x and y,

The resulting equation is the inverse function.

f(x) = y = 5+x

x = y-5

y = x-5

f⁻¹(x) = x-5

g(x) = 5-x ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

:::::

f(x) = y = 2x-9

x = (y+9)/2

y = (x+9)/2

f⁻¹(x) = (x+9)/2

g(x) = (x+9)/2 = f⁻¹(x)

g(x) is the inverse of f(x).

:::::

f(x) = y = 2/x - 6

x = 2/(y+6)

y = 2/(x+6)

f⁻¹(x) = 2/(x+6)

g(x) = (x+6)/2 ≠ f⁻¹(x)

:::::

f(x) = y = x/3 + 4

x = 3y - 12

y = 3x - 12

f⁻¹(x) = 3x - 12

g(x) = 3x - 4 ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

4 0

2 years ago

Answer for both pleaseeeeeeeeeee

Oksi-84 [34.3K]

Answer:

0 and yes

Step-by-step explanation:

Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.

Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.

7 0

3 years ago

Read 2 more answers