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Andreas93 [3]
3 years ago
11

Use the net to find the surface area of the prism 5in 12in 13in and height is 8in

Mathematics
1 answer:
Anarel [89]3 years ago
7 0
Area of Bottom Rectangle: 12 in X 8 in = 96 in^2

Area of Top Rectangle: 13 in X 8 in = 104 in^2

Area of Side Rectangle: 5 in X 8 in = 40 in^2

Area of Side Triangle: (5 in X 12 in)/2 = (60)/2 = 30 in^2

So total surface area = 96 + 104 + 40 + 2(30) = 300 in^2
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Give an example of each of the following, or argue that such a request is impossible.
Masteriza [31]

Answer and Step-by-step explanation:

Solution:

(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,

(bn) contains a subsequence that is converges.

(b) The sequence :

Xn = 1 + (-1) n / 2 + 1/n

Clearly, (xn) does not contain 1 or 0.

If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),

Then it converges to 0.

(c) The sequence:

1

1,1/2

1, 1/2, 1/3

1, 1/2, 1/3, 1/4

i.e

(xn) = (1,1/2, 1, 1/2, 1/3, …)

Then, the subsequence (xn) that is identically ½ in second column and 1/3 is third column and so on.

It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.

(d) The sequence

{1, 1/2, 1/3, 1/4, 1/5…}

if we take sequence of given set, then, this set converges to zero. This is not contained in it.

If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.

3 0
3 years ago
A square room in Amber's home has an area of 128 square feet. Which is the best estimate of one side length of the room?
Nitella [24]
A best estimate would be 32
6 0
3 years ago
Read 2 more answers
Which equation results from adding the equations in this system?
MArishka [77]

Answer:

8y = -6

Step-by-step explanation:

x + 6y -x +2y = 9 +(-15) ➡ 8y = -6

5 0
3 years ago
Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i
steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

<u>Step(ii)</u>:-

<em>The distance between the two points are </em>

    A B   =   \sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2}    }

    A B =   \sqrt{(10 - 1)^{2}+(-9 - (-9))^{2}    }

   AB   = \sqrt{(9)^{2} +(-9+9)^{2} }

 <em> AB    =  √81 = 9</em>

<u><em>Conclusion:-</em></u>

The distance between the two given complex numbers = 9

<u><em></em></u>

3 0
3 years ago
A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inv
Alecsey [184]
The complete question in the attached figure

we have that
 for c=5 and n=20------------> n*c=20*5=100
 for c=2.5 and n=40------------> n*c=40*2.5=100
 for c=2 and n=50------------> n*c=50*2=100
 for c=1.25 and n=80------------> n*c=80*1.25=100

therefore
<span>the function that models the data is n*c=100
</span>
the answer is nc=100





6 0
3 years ago
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