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puteri [66]
3 years ago
14

How do you do this question?

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

z = -ln│5eᵗ + C│

Step-by-step explanation:

dz/dt + 5eᵗ⁺ᶻ = 0

dz/dt = -5eᵗ⁺ᶻ

dz/dt = -5eᵗeᶻ

-e⁻ᶻ dz = 5eᵗ dt

e⁻ᶻ = 5eᵗ + C

-z = ln│5eᵗ + C│

z = -ln│5eᵗ + C│

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Answer:

LA = 120 sq cm

SA = 132 sq. cm.

Step-by-step explanation:

LA = ph    where p = perimeter of the base and h = the height of prism.

Your base is a triangle.  The third side = \sqrt{5^{2} - 3^{2} } = \sqrt{25 - 9}  = \sqrt{16} = 4

Now, the perimeter of the triangle is 3 + 4 + 5 = 12

So, LA = 12(10) = 120 sq cm

The area of the base is the area of a triangle.  A = bh/2 = 4(3)/2 = 6

SA = 2B + LA      where B is the area of the base

SA = 2(6) + 120 = 12 + 120 = 132 sq. cm.

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