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>
Answer:
x=2/3
Step-by-step explanation:
(2x+1)/2 = 2 1/3/4
Multiply 4 on both sides:
2x+1=2 1/3
Rewrite:
2x+1=7/3
Subtract 1 on both sides:
2x=4/3
Divide 2 on both sides:
x=2/3
Thus x=2/3
Hope this helps!
You can find the area of a triangular prism by putting it into a bet and finding the area of all sides then adding them together
Answer:
22.25 ft long
if you add 10.5 with 11.75 you'll get 22.25
