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>
Let's solve :
a.) The equation will be :
b.) the table will be like this :
point (1 , -3)
point (3, -1)
point (-1 , 3)
point (-3 , 1)
c.) graph the equation as shown in attachment !
Answer:
31 units ²
Step-by-step explanation:
Area of a rectangle = length × width
Length = 8 units
Width = 5 units
Area of a rectangle = length × width
= 8 units × 5 units
= 40 units ²
Area of of the blue square = length ²
Length = 3 units
Area of of the blue square = length ²
= (3 units) ²
= 9 units ²
Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square
= 40 units ² - 9 units ²
= 31 units ²
Area of the orange colored part of the figure = 31 units ²
The least possible height is the height of the cylinder when the volume is 324π cubic inches. To determine that height, we use the formula for the volume of a cylinder. We do as follows:
Volume = πr^2h
324π = π(6)^2(h)
h = 9 inches
