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marissa [1.9K]
3 years ago
15

Triangle def with the given measurements is rotated in space about side de. which answer gives the solid formed and its surface

area?pyramid with surface area a = 1212 • pbase • l triangle with surface area a = 1212 • r • h cone with surface area a = π • r • l π • r2 cone with surface area a = π • r • h
Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0
The rotation of a triangle will form a cone. The surface area of a cone is calculated through the equation, 
                                    SA (cone) = πrl + πr²
Hence, for this item the best answer would be cone with surface area a = π.r.l + π.r2, the third choice. 
Paraphin [41]3 years ago
5 0

Cone with surface area A = π • R • L + π • R2  is the right answer


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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
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Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
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The length of a rectangle is 33 meters less than twice the width. if the area of the rectangle is 464464 square​ meters, find th
vfiekz [6]
Good night from Canada!
Let W be the width in meters
Let L be the length in meters. 

L*W=464464
L=2W-33
(2W-33)*W=464464
2W^2-33W=464464
2W^2-33W-464464=0
Use the quadratic formula to solve for the zeros 
x=-b√b²-4ac/2a
Sub in b=-33 a=2 and c=-464464 and solve using position and negative values for the √b.
We get:
w=490.225 and w=473.725
Through simple algebra we can figure out that x=490.225 is more accurate when using it with the other equations and solving for the given area. 
L=2*490.225-33
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947.45*490.225=464463.7

Therefore the length is 947.45m and the width is 490.225m.

Hope this helps!

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Answer:

x = 2.

Step-by-step explanation:

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