Area of decagon is given by:
Area=1/2(nsr)
where:
n=number of sides
s=side length
r=height
thus the area will be given by:
Area=1/2(10*4*6.2)
Area=124 cm^2
Answer:
equilateral triangle
equilateral triangles are triangles with three equal sides
equiangular triangles are triangles where all e angles are the same
8 coins = $0.93
3 quarters = $0.75
1 dime = $0.10
1 nickel = $0.05
3 pennies = $0.03
3 + 1 + 1 + 3 = 8 coins
$0.75 + $0.10 + $0.05 + $0.03 = $0.93
<span>3down votefavorite1Find minimum and maximum value of function <span>f(x,y)=3x+4y+|x−y|</span> on circle<span>{(x,y):<span>x2</span>+<span>y2</span>=1}</span>I used polar coordinate system. So I have <span>x=cost</span> and <span>y=sint</span> where <span>t∈[0,2π)</span>.Then i exploited definition of absolute function and i got:<span>h(t)=<span>{<span><span>4cost+3sintt∈[0,<span>π4</span>]∪[<span>54</span>π,2π)</span><span>2cost+5sintt∈(<span>π4</span>,<span>54</span>π)</span></span></span></span>Hence i received following critical points (earlier i computed first derivative):<span>cost=±<span>45</span>∨cost=±<span>2<span>√29</span></span></span>Then i computed second derivative and after all i received that in <span>(<span>2<span>√29</span></span>,<span>5<span>√29</span></span>)</span> is maximum equal <span>√29</span> and in <span>(−<span>45</span>,−<span>35</span>)</span> is minimum equal <span>−<span>235</span></span><span>
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Step-by-step explanation:
option c 120
earning (in$) for 8 dog houses = 40
earning (in$) for 1 dog house= 40/8 = 5
earning (in$) for 24 dog houses= 24×5 = 120
