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Pavel [41]
3 years ago
6

3. In class, you learned how to find the area of irregular shapes by breaking into regular shapes. For the picture below, you ar

e going to calculate its area. For this problem, you must:
• Draw how you broke up the shape
• Show the work for how you found the area of each piece
• Calculate the total area from the pieces

Mathematics
1 answer:
irinina [24]3 years ago
6 0

Answer:

57.5

Step-by-step explanation:

if you break it down into smaller shapes, there's a semicircle, three triangles and a rectangle.

circle πr² = π 2² = 4π² = 39.5

triangle 1 bh = (3)(2) = 6

triangle 2 bh = (4)(1) = 4

triangle 3 bh = (2)(4) = 8

Add them all up to get total area

6 + 4 + 8 + 39.5 = 57.5

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\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}

Step-by-step explanation:

5x^2-x^2e^{2x}+2e^{2x}=10

Let:\ x^2=t  \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}

<em>Prologarithmize both parts of the equation:</em>

ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\

<u><em> Divide both parts of the equation by 2:</em></u>

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