2 years ago

Use the Law of Cosines to find the specified missing value. Approximate your answer to the nearest tenth.

Mathematics

1 answer:

Charra [1.4K]2 years ago

4 0

<h3>Answer: 176.6</h3>

Work Shown:

$b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 150^2 + 30^2 - 2*150*30*\cos(150)\\\\b^2 \approx 31194.22863406\\\\b \approx \sqrt{31194.22863406}\\\\b \approx 176.618879608211\\\\b \approx 176.6\\\\$

You might be interested in

HELP PLEASE LOTS OF POINTS!!

Paladinen [302]

Answer:

<em>Thus, f and g are inverse functions</em>

Step-by-step explanation:

<u>Inverse Functions</u>

If two functions f(x) and g(x) are inverses, then it follows that:

$f\circ g(x)=x$

Or:

$g\circ f(x)=x$

We are given

$\displaystyle f(x)=\frac{1}{4}x-6$

$g(x)=4x+24$

Let's test if they are inverse functions:

$f\circ g(x)=\frac{1}{4}(4x+24)-6$

Simplifying:

$f\circ g(x)=x+6-6=x$

Now find:

$\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24$

Operating:

$\displaystyle g\circ f(x)=x-24+24=x$

Thus, f and g are inverse functions

6 0

3 years ago

Read 2 more answers

What is 1/8 as a percent and how did you get it. Also, what is 2/3 as a fraction and how did you get it.

Vesnalui [34]

This is my work. Also 2/3 is a repeating decimal so it’s actually 0.6...

4 0

3 years ago

Factor Completely: 3x2 + 9x - 30

enyata [817]

Answer:

3(x-2)(x+5)

Step-by-step explanation:

1. Factor out common term 3

3(x^2 +3x-10)

2. Factor (x^2 +3x-10)

3(x-2)(x+5)

8 0

3 years ago

What percent of 200 is 290

GrogVix [38]

$\frac{290}{200} * 100 = 1.45 * 100 = 145.$

So, Our final answer is 145%

8 0

3 years ago

Read 2 more answers

Find the quotient...<br><br> 3/11 divided by 9/13<br><br> Simplify your answer...

Korvikt [17]

3/11 divided by 9/13 = 3/11 multiplied by 13/9 = 39/99=13/33

5 0

3 years ago

Read 2 more answers