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kupik [55]
3 years ago
6

Find the surface area of the composite solid. Leave your answer in terms of pi.

Mathematics
1 answer:
bonufazy [111]3 years ago
4 0
Total surface area = lateral area of cone + lateral area of cylinder + area of base of cylinder:
cone: πrL = π(5cm)(13cm) = 65πcm²
cylinder: 2πrh = 2π(5cm)(12cm) = 120πcm²
base: πr² = π(5cm)² = 25πcm²
total surface area = 65πcm² + 120πcm² + 25πcm² = 210πcm²
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x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8

Step-by-step explanation:

Volume of the prism is given by the product of its base area and height. To get the height, divide the volume by the base area

Perform long division of the volume polynomial by the polynomial for base area to get the polynomial for height

x³+3x²+8 √x⁴+4x³+3x²+8x+4

                -x⁴+3x³+8x

                ---------------------------

                       1x³+3x²+0+4

                     - 1x³+3x²+8

                   ------------------------

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The answer will be : x+1 + -4/(x³+3x²+8)

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Dividing polynomials : brainly.com/question/11792208

Keywords : volume, rectangular prism, area,height

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3 0
3 years ago
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Two ladders are leaning against a building, forming two similar triangles as shown below. The top of the longer ladder is 28 fee
postnew [5]

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

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20x = 420-300

20x = 120

x = 120/20

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So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

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7 0
2 years ago
Please help <br> What is x= ?
Nataly [62]

Answer:

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Step-by-step explanation:

First off, your drawing is kinda inaccurate, because the 124^{\circ} looks like a right angle, but as you drew it yourself it doesn't matter too much.

We know that the sum of the angles of a triangle will always equal 180^{\circ}, so we have that 23+124+x=180.

Combining like terms on the left side gives 147+x=180.

Subtracting 147 from both sides gives x=33.

So, \boxed{x=33^{\circ}} and we're done!

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2 years ago
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The answer would be 13/15
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3 years ago
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Answer:

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