See below to answer this question

Mathematics

2 answers:

Zinaida [17]3 years ago

6 0

Answer: OPTION A.

Step-by-step explanation:

Observe the figure attached.

The first step is the find "a". In order to find this side, we need to use this Trigonometric Identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

In this case:

$\alpha=45\°\\\\opposite=12\\\\hypotenuse=a$

Then, substituting values and solving for "a", we get:

$sin(45 \°)=\frac{12}{a}\\\\a=\frac{12}{sin(45 \°)}\\\\a=12\sqrt{2}$

Now we must apply this Trigonometric Identity:

$tan\theta=\frac{opposite}{adjacent}$

In this case:

$\theta=60\°\\\\opposite=12\sqrt{2}\\\\adjacent=x$

Then, substituting values and solving for "x", we get:

$tan(60\°)=\frac{12\sqrt{2}}{x}\\\\x=\frac{12\sqrt{2}}{tan(60 \°)}\\\\x=4\sqrt{6}$

ipn [44]3 years ago

5 0

Answer:

c. 6√2

Step-by-step explanation:

The step by step explanation is shown in the picture above

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Graph the exponential function. f(x)= -(5/2)^x

7nadin3 [17]

Answer:

see below

Step-by-step explanation:

Your spreadsheet or graphing calculator can do this for you.

If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.