${\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ cos( \alpha ) = base \div hypotenuse \\ \\ base \: = \: 21 \\ \\ hypotenuse = 29 \\ \\ cos( \alpha ) = 21 \div 29 \\ \\ {\huge{\boxed{\mathfrak{\red{hope \: it \: helps \: }}}}}$

7 0

3 years ago

Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

8 0

3 years ago

20 is 1/10 (one tenth) of what number?

NARA [144]

Answer:

20 is 1/10 of 200.

Step-by-step explanation:

100*(1/10) = 10

200*(1/10) = 20

Since 100 times 1/10 is 10, all you have to do is double it. So now, 200 times 1/10 is 20.

:) Hope this helps!

4 0

3 years ago