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Natalija [7]
3 years ago
8

Help please! these questions are really confusing me

Mathematics
1 answer:
Anettt [7]3 years ago
6 0

Answer:

Figure 1: Option A :   $ \sqrt{\frac{\textbf{3}}{\textbf{2}}} $ ;   $ \frac{\textbf{1}}{\textbf{2}} $ ;  $ \sqrt{\textbf{3}}} $

Figure 2: Option B: $ \frac{\sqrt{\textbf{19}}}{\textbf{10}} $ ;     $ \frac{\textbf{9}}{\textbf{10}} $ ;  $ \frac{\sqrt{\textbf{19}}}{\textbf{9}} $

Figure 3: Option C:  $ \frac{\textbf{4}}{\textbf{5}} $  ;  $ \frac{\textbf{3}}{\textbf{5}} $ ;  $ \frac{\textbf{4}}{\textbf{3}} $

Step-by-step explanation:

$ \textbf{Sin  A} \hspace{1mm} \textbf{= } \hspace{1mm} \frac{\textbf{opp}}{\textbf{hyp}} $

$ \textbf{Cos A} \hspace{1mm} {\textbf{=} \hspace{1mm} \frac{\textbf{adj}}{\textbf{hyp}} $

$ \textbf{Tan A} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{Sin A}}{\textbf{Cos A}} $

We can simply follow these three formulas to solve the problem.

Figure 1:

Sin A = $ \frac{6\sqrt{3}}{12} $  = $ \frac{\sqrt{3}}{2} $

Cos A = $ \frac{6}{12} = \frac{1}{2} $

Tan A = $ \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}} $  = $ \sqrt{3} $

Figure 2:

Sin A = $ \frac{2\sqrt{19}}{20} $  = $ \frac{\sqrt{19}}{10} $

Cos A = $ \frac{18}{20} = \frac{9}{10} $

Tan A = $ \frac{\frac{\sqrt{19}}{10}}{\frac{10}{9}} $ = $ \frac{\sqrt{19}}{9} $

Figure 3:

Sin A =   $ \frac{16}{20} $   = $ \frac{4}{5} $

Cos A = $ \frac{12}{20} = \frac{3}{5} $

Tan A = $ \frac{\frac{4}{5}}{\frac{3}{5}} $  = $ \frac{4}{3} $

Hence, the answer.

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Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?
Pepsi [2]

Answer:

(f+g)(2) = 14

f(g(x)) = 2x^2 + 4x +3

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

f(2) + g(-2) = 6

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and g(x) = x^2 + 2x +1.

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6

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The exppreson of 10x^2-7
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The complete question is :

Question: What is the coefficient in the expression 10x²-7?

The coefficient in the expression 10x^{2} -7 is 10

<h3>What is Coefficient?</h3>

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

According to the question,

The expression given is 10x^{2} -7

The variable given is x

We need to find the coefficient in the expression.

In the given expression x is the variable and the number before the x is coefficient which is 10 .

Hence the coefficient in the expression is 10.

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