(1.6666667)x+(.5)=0
1.6666667x=-.5
1.6666667x/1.666667=-.5/1.6666667
x= -.5/1.6666667
x=.3
Answer:
<em>The area of the shaded part = 61.46</em>
<em />
Step-by-step explanation:
Assume the hypotenuse of the triangle is c (c>0)
As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.
The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: 
=> c = 10
So that the semi circle has the diameter = 10 => its radius = 5
- The total area of 2 semi circles is equal to the area of the circle with radius =5
=> The total area of 2 semi circles is: 
x 
= 25
- The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x
x 
= 20
=> The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40
- The area of the square is:
= 
It can be seen that:
<em>The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles </em>
<em>= 100 - 25</em><em> + 40 = 61.46</em>
Answer:
Step-by-step explanation: The domain of the expression is all real numbers except where the expression is undefined
-5(r - 6) + 3(-8 + 8r) = -32
STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38
STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2
FINAL ANSWER: r = -2</span></span></span>
