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Juli2301 [7.4K]
3 years ago
7

Find the total surface area.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Answer:

160cm²

Step-by-step explanation:

To find the surface area of this prism, you just need to add up the areas of each side. To simplify the calculations a bit, we can take multiples of the sides which are the same. For example, here we have two equal trapezoids on each end, so we can multiply the area by two when adding.

The work is in the attachment.

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Triangle LMN is positioned inside rectangle LKPN as shown in the diagram. Which is the area of △LMN?
Sati [7]

Step-by-step explanation:

The formula of a triangle is A=½bh

Base=6.5

Height=4.8(since the height if the triangle and the width of the rectangle are same)

A=½(6.5)(4.8)

A=½(31.2)

a =  \frac{31.2}{2}

A=15.6

Therefore, the area of the triangle LMN is 15.6

I hope this helps.

6 0
4 years ago
Which of the following functions are solutions of the differential equation y" – 4y' + 3y = 0? CA. y(x) = xe-3x B. y(x) = et C.
Kipish [7]

Answer:

y(x)=c_1e^{x}+c_2e^{3x}

y(x)=e^x

y(x)=e^{3x}

Option B is correct. y=e^t

Step-by-step explanation:

Given: y''-4y'+3y = 0

It is a linear differential equation.

First we make characteristic equation.

m^2-4m+3=0

Now factor the equation and we get

(m-3)(m-1)

m=1,3

Here, we have two distinct root.

y(x)=c_1e^{m_1t}+c_2e^{m_2t}

Solution of differential equation:

y(x)=c_1e^{x}+c_2e^{3x}

where, c₁ and c₂ are constants.

Hence, The solution of the given differential equation is y(x)=c_1e^{x}+c_2e^{3x}

y(x)=e^x

y(x)=e^{3x}

7 0
4 years ago
a pizza has a diameter of 16 inches . what is the area of the pizza “in therms of pi”? use the formula A=3.14r^2 . 16 inches rep
arlik [135]

Answer:

Your answer is 64pi square inches

Step-by-step explanation:

The diameter is 16 so the radius is 8.

So the area is pi(r^2)= pi(8^2)

=64pi square inches

3 0
3 years ago
CAN SOMEONE HELP ME ON ANALYZING DOT PLOTS!!!
AURORKA [14]

Answer:

yes

Step-by-step explanation:

but I can't see them here

6 0
3 years ago
Help, please!<br> Solve<br> 2a + 3b = 5<br> b = a - 5
damaskus [11]

Answer:

a=2

Step-by-step explanation:

a=b+5

b=a−5

7 0
4 years ago
Read 2 more answers
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