The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4
<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse
sin(x) = 4/5 </span>
The correct answer is option 1
Answer:
Both of them are correct.
Step-by-step explanation:
Isaac says that for the function, between x = -1 to x = 1, the average rate of changes is 0.
When a function has the average rate of change = 0 i.e. 
,
We get that the function will have an extrema point i.e. a point at which the function will have the largest or smallest value i.e. the graph of the function changes its direction.
Further, Noah states that between x = -1 to x = 1, the graph goes up through a turning point and then goes back down.
This means that in x = -1 to x = 1, the function attains the maximum value at some point through which graph is changing its direction from upwards to downwards.
As, both Isaac and Noah are stating that there is a point in x = -1 to x = 1, at which the function attains its maximum value and the graph changes its direction.
Hence, both of them are correct.
Answer:
1520.5 yd²
Step-by-step explanation:
Surface area of a sphere = 4πr², where r is the radius
so,
4πr²
= 4×π×11²
= 484π
= 1520.5 yd²
The answer is 1.7 there you go.
