Answer:
a convex nonagon
Step-by-step explanation:
Set up a system of equations:
2l + 2w = 72
l = 2w
Solve the system using substitution:
2(2w) + 2w = 72
Solve for w:
4w + 2w = 72
—> 6w = 72
—> w = 12
Plug in the value for ‘w’ in the second equation:
l = 2(12)
—> l = 24
The width is 12.
The length is 24.
Answer:
2147.60
Step-by-step explanation:
Answer:
<h2>486mm²</h2>
Step-by-step explanation:
The area of a parallelogram is h*b where h is the height/altitude and b is the base.
The base is 27 millimeters and the altitude is 18 millimeters, so we multiply those together.
27*18= 486.
The area of the parallelogram is 486mm²
Hope this helps!
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>