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Andreas93 [3]
3 years ago
14

If cos A = 3 over 11, then which of the following is correct?

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:  The answer is (a) sec A = 11 over 3.



Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,

i.e.,

\cos A=\dfrac{3}{11}.

And we need to find which one of the given four options is correct.

We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

\sec A=\dfrac{1}{\cos A}~~\textup{and}~~\csc A=\dfrac{1}{\sqrt{1-\cos^2 A}}.

Therefore,

\sec A=\dfrac{11}{3}

and

\csc A=\dfrac{1}{\sqrt{1-\frac{9}{121}}}=\dfrac{1}{\sqrt{\frac{112}{121}}}=\dfrac{11}{4\sqrt 7}.

Thus, the correct option is (a)  sec A = 11 over 3.

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mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough ca
Vladimir79 [104]

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

3 0
3 years ago
If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
andrew11 [14]
<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

f(g(x))=(f\circ} g)(x)

So, the given functions are:

f(x)=x+7\\\\g(x)=\frac{1}{x-13}

Then, composing the functions, we have:

f(g(x))=\frac{1}{x-13}+7\\

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0
3 years ago
LOOK AT THE PICTURE PLEASE QUICK ITS EASY
max2010maxim [7]

Answer:

C or d

Step-by-step explanation:

4 0
3 years ago
Help help HELLLP help help help
m_a_m_a [10]

Answer:

If you use the 3x to the 2y is will make more sense if u turn them into numbers instead of letters cause letters dont make much sense somtimes.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
ALGEBRA 1
Gekata [30.6K]
The answer is B. 8x+6. You multiple 3 and x+4 then combine like terms
7 0
3 years ago
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