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zmey [24]
3 years ago
8

Find the surface area of this triangular prism.​

Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

Surface area of the triangular prism is 1380m^2

Step-by-step explanation:

The triangular prism have two triangular faces and three rectangular faces:

So, the Area of the Prism is :

       Area of the two triangular faces+ Area of the three rectangular faces

Surface area of the triangular prism :    

                                                 2(1/2*24*10)+(19*10)+(24*19)+(26*19)\\\\                                                       = 240+190+456+494\\\\                                                        =1380 m^2\\

So, the area of the triangular prism is 1380m^2

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The function ƒ(x) = (x − 1)^2 + 5 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an i
melisa1 [442]

Answer:

f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.

Step-by-step explanation:

The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.

* if x>1, then x-1>0.

* Also since the parabola opens up, then y>5.

So let's solve y=(x-1)^2+5 for x.

Subtract 5 on both sides:

y-5=(x-1)^2

Take square root of both sides:

Plus/minus sqrt(y-5)=x-1

We want x-1>0:

Sqrt(y-5)=x-1

Add 1 on both sides:

Sqrt(y-5)+1=x

Swap x and y:

Sqrt(x-5)+1=y

x>5

y>1

3 0
3 years ago
Which of the following documents were influenced by John Locke's principles?
Alborosie

Answer:U.S Declaration of Independence

Step-by-step explanation:

7 0
3 years ago
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2y2 + 26y + 80
Illusion [34]
A or c is the correct answer
3 0
2 years ago
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Lynette has a metal door stop with the dimension 12cm 6cm 3.5cm each cubic centimeter of the metal in the doorstop has a mads of
vivado [14]

Answer:

  • volume: 252 cm³
  • mass: 2167.2 (units not specified)

Step-by-step explanation:

The volume of a cuboid is given by the product of its dimensions. Here, that is ...

  (12 cm)·(6 cm)·(3.5 cm) = 252 cm³

We are told the mass of each cm³ is 8.6, so 252 of them will have a mass of ...

  8.6·252 cm³ = 2167.2 . . . . . no units specified

4 0
3 years ago
A bike shop has 11 1111 red bikes, 3 33 blue bikes, 4 44 orange bikes, and 12 1212 silver bikes. For every 1 11 orange bike, the
zubka84 [21]

Answer:

C. Silver bikes

Step-by-step explanation:

Given that:

Number of red bikes at the bike shop = 11

Number of blue bikes at the bike shop = 3

Number of orange bikes at the bike shop = 4

Number of silver bikes at the bike shop = 12

Let us find the ratio of each bike with orange bikes to find the answer.

Orange bikes: Red bikes = 4 : 11

i.e. for every 4 orange bikes, there are 11 red bikes.

Orange bikes: Blue bikes = 4 : 3

i.e. for every 4 orange bikes, there are 3 blue bikes.

Orange bikes: Silver bikes = 4 : 12 = 1 : 3

<em>i.e. for every 1 orange bike, there are 3 silver bikes.</em>

<em></em>

Therefore, the answer is:

<em>C Silver bikes</em>

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3 years ago
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