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3 years ago

Formula to find the surface area of a triangular prism

Mathematics

1 answer:

AleksAgata [21]3 years ago

3 0

Step-by-step explanation:

In the mensuration of a triangular prism we can find the total surface area by solving for the areas of individual shape.

The triangular prism consist of

1. three rectangular surfaces

2. two triangular surfaces.

Hence the total surface area is the sum of the areas of the rectangular surface

= $(l* w) +( l*w)+(l*w)\\$

and the sum of all areas of triangular surfaces

= $(\frac{1}{2}bh) + (\frac{1}{2}bh)$

<u><em>In summary just find the area of each shape and add them together.</em></u>

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5^2+b^2=13^2 steps to solve

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Answer:

b=12 or b=−12

Step-by-step explanation:

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3 years ago

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Find f if f′(x)=2x−3/x^4, x>0 and f(1)=2.

slavikrds [6]

$f'(x)=2x-\dfrac3{x^4}$
$\displaystyle\int f'(x)\,\mathrm dx=\int\left(2x-\frac3{x^4}\right)\,\mathrm dx$
$f(x)=x^2+\dfrac1{x^3}+C$

Given that $f(1)=2$ , we get

$2=1^2+\dfrac1{1^3}+C$
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$\implies C=2$

so that

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3 years ago

The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than th

Leno4ka [110]

Answer:

21 ft by 66 ft

Step-by-step explanation:

From the question,

P = 2(L+W)............... Equation 1

Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.

If the Length of the Field is 45 ft longer than the width,

L = 45+W............ Equation 2

Substitute Equation 2 into equation 1

P = 2(45+W+W)

P = 90+4W............. Equation 3

Given: P = 174 ft.

Substitute into equation 3

174 = 90+4W

4W = 174-90

4W = 84

W = 84/4

W = 21 ft.

Substituting the value of W into equation 2

L = 45+21

L = 66 ft.

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3 years ago

Max spends three times as long on his math homework than he does on his science homework. If he spent total of 64 minutes on mat

den301095 [7]

Let X = science homework.

Then math homework would be 3x ( three times as long).

Now you have math plus science = 64 minutes:

x + 3x = 64

Combine like terms:

4x = 64

Divide both sides by 4:

x = 64 / 4

x = 16

He spent 16 minutes on science and 48 minutes on math.

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3 years ago

Complete the table Y=6x-4

viktelen [127]

Answer:

With Two points is enough to describe this graph

$\left[\begin{array}{ccc}\frac{4}{6} &0\\0&-4\\\end{array}\right]$

Step-by-step explanation:

Interception with Y axis (y=0), thus we have the following equation:

$0=6*x+4$

$x=4/6$

The point for this is (4/6 , 0)

Interception with x axis (x=0), thus we have the following equation:

$Y=4*0-4$

$y=-4$

The point for this is (0, -4)

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3 years ago