Which one of these diagrams shows its reference angle in standard position?

Mathematics

1 answer:

Svetach [21]3 years ago

3 0

Answer:

Step-by-step explanation:

MARK AS BRAINLIEST!!

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cluponka [151]

$\frac{20}{29}$ Answer:

sin α = $\frac{20}{29}$

Step-by-step explanation:

sin α = $\frac{opposite}{hypotenuse}$ = $\frac{BC}{AB}$ = $\frac{20}{29}$

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2 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).

sdas [7]

<h3>Answer: f( h(x) ) = 2x - 4</h3>

Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

f( h(x) ) = 2x+3 - 7

f( h(x) ) = 2x - 4

Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

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2 years ago

The decrease of 50 by 40% is what?

Wewaii [24]

Answer: 20

Step-by-step explanation:

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2 years ago

HEEELP

Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$