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Vera_Pavlovna [14]
3 years ago
14

How do I solve cos x> 1/2 sin x?

Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

Divide both sides by \dfrac12\cos x:

\dfrac{\cos x}{\frac12\cos x}>\dfrac{\frac12\sin x}{\frac12\cos x}\implies2>\dfrac{\sin x}{\cos x}=\tan x

If -\dfrac\pi2, then

\tan x

and more generally, for any integer n,

n\pi-\dfrac\pi2

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If 6 workers can paint a house in 2 days; how
FinnZ [79.3K]

Answer:

0, because the house is already painted. If this isn't a riddle then, it should take 4 days because that is half the people, two times the workload per person.

6 0
3 years ago
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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)
choli [55]

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

6 0
4 years ago
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Which of the equations is proportional if y is a function of X?
Taya2010 [7]

Answer:

y=4x

Step-by-step explanation:

it goes through 0,0 on my graph

6 0
3 years ago
Please help ASAP brainliest.
lisov135 [29]

Answer:

\left[\begin{array}{cc}2&8\\5&1\end{array}\right]

Step-by-step explanation:

The <em>transpose of a matrix </em>M^T is one where you swap the column and row index for every entry of some original matrix M. Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation p_{i,j} and p^T_{i,j} to refer to the entry in the i-th row and the j-th column of the matrices P and P^T respectively:

p_{1,1}=p^T_{1,1}=2\\p_{1,2}=p^T_{2,1}=5\\p_{2,1}=p^T_{1,2}=8\\p_{2,2}=p^T_{2,2}=1\\

Constructing the matrix P^T from those entries gives us

P^T=\left[\begin{array}{cc}2&8\\5&1\end{array}\right]

which is option a. from the list.

Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!

7 0
3 years ago
Which is equivalent to after it has been simplified completely? Assume m ≠ 0.
Paul [167]

Answer:

The answer is the fourth choice.

Step-by-step explanation:

6 0
3 years ago
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