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Tamiku [17]
3 years ago
6

Given the net of the rectangular prism, what is its surface area?

Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

<h2>S.A. = 66m²</h2>

Step-by-step explanation:

Look at the picture.

We have :

4 rectangles 3m × 4m → A₁ = 3 · 4 = 12 m²

2 rectangles 3m × 3m → A₂ = 3 · 3 = 9 m²

Therefore the Surface Area of the rectangular prism is:

S.A. = 4A₁ + 2A₂

Substitute:

S.A. = 4(12) + 2(9) = 48 + 18 = 66

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What is the product simplest form stat any restrictions on the variable 3g^5/10h^2 x h^5/10g^2
Leno4ka [110]
The restriction are that neither h nor g may equal zero as that would lead to division by zero.

The simplification after units cancel is:

(3(gh)^3)/100 or if you prefer

0.03(gh)^3
6 0
3 years ago
Which number is equal to the expression 7 x 104 + 3 x 103 + 0 x 102 + 8 x 101 + 5 ?
suter [353]

Answer:

1

Step-by-step explanation:

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?

We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).

Here are some examples of scientific notation

6 0
3 years ago
263/4 options 65r2 64r7 65 65r3
Reika [66]

Answer:

65R3

Step-by-step explanation:

260/4 is a whole number, so then there would be a remainder 3. The only one with a r3 is D.

Hope this helps :D

4 0
2 years ago
Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
Find the surface area of the triangular prism (above) using its net (below).
r-ruslan [8.4K]

Answer:

96 square units

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

  • The length of the large rectangle is: 5
  • The width of the large rectangle is: 7

=> Area of the large rectangle = length × width  = 7*5 = 35 square units

  • The length of the middle rectangle is: 7
  • The width of the middle rectangle is: 4

=> Area of the middle rectangle = length × width  = 7*4 = 28 square units

  • The length of the small rectangle is: 7
  • The width of the small rectangle is: 3            

=> Area of the small rectangle = length × width  = 7*3 = 21 square units

Area of top and the bottom triangles =2* \frac{1}{2}bh  = 4*3 =12  

Total surface area = 35 + 28 + 21 + 12 = 96 square units

3 0
3 years ago
Read 2 more answers
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