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2 years ago

PLEASE ANSWER NOW Find the surface area of the right triangular prism (above) using its net (below).

Mathematics

2 answers:

Darina [25.2K]2 years ago

8 0

Answer:

420

Step-by-step explanation:

3x4x5x7 , I think I'm sorry if it's wrong

Effectus [21]2 years ago

3 0

Answer: 96 units

Step-by-step explanation:

3 by 4 Right Triangles: $(3*4)/2$ for each triangle, so $2((3*4)/2)=12$ units for both two triangles.

Middle Rectangles: Since all of the 3 rectangles have the same height, we can add together the widths to get $(3+4+5)*7=12*7=84$ units.

Add them together: $84+12=96$ units

I hope it helps!

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Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

djverab [1.8K]

I'll assume the ODE is

$y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}$

Solve the homogeneous ODE,

$y'' - 3y' + 2y = 0$

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

$y'' - 3y' + 2y = e^{2x}$

take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

Substitute (2) into the ODE to get

$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

Lastly, for the nonhomogeneous ODE (3)

$y'' - 3y' + 2y = e^{-x}$

take the ansatz

$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

and solve for $c$ .

$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

Then the general solution to the ODE is

$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

6 0

2 years ago

(-2)^-3 without exponent

Basile [38]

Answer:

-1/8

Step-by-step explanation:

$(-2)^-3 \\=\frac{-1}{2}^{3}\\=\frac{-1}{8}$

7 0

4 years ago

Read 2 more answers

Mitch ordered several baseball hats for 12.65 each and paid $3.99 for shipping. If Mitch spent a total of $130.49, how many base

jek_recluse [69]

Answer:

Step-by-step explanation:

Price of baseball hats without shipping = $130.49 - $3.99 = $126.50

Number of baseball hats he ordered: $126.50 ÷ $12.65 = 10

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3 years ago

For a new neighborhood, 1.4 acres of land will be split into 8 lots. How many acres of land

Iteru [2.4K]

Answer:

0.175

Step-by-step explanation:

8/1.4 = 0.175 which is how many each will have

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3 years ago

The exchange rate between non-fixed currencies continuously fluctuates. The following table shows the exchange rate of pounds st

liubo4ka [24]

The correct answer is:

B) INS 38.35

Explanation:

The day with the best exchange rate is Friday; the rate is 1:6.1715. Converting 88.65£ with this rate, we have:

88.65(6.1715) = 547.103475.

Since he is charged an 8% surcharge, he gets to keep 100%-8% = 92% = 92/100 = 0.92 of this:

0.92(547.103475) = 503.335197

The day with the worst exchange rate is Wednesday, with a rate of 1:5.7012. Converting 88.65£ at this rate,

88.65(5.7012) = 505.41138. 4

0.92(505.41138) = 464.9784696

The difference between Friday and Wednesday is:

503.335197-464.9784696 = 38.3567274, or 38.35.

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3 years ago

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*PLEASE ANSWER NOW* Find the surface area of the right triangular prism (above) using its net (below).

PLEASE ANSWER NOW Find the surface area of the right triangular prism (above) using its net (below).