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SVEN [57.7K]
3 years ago
7

When turned about its axis of rotation, which shape could have created this three-dimensional object?

Mathematics
2 answers:
Rasek [7]3 years ago
7 0
The first shape, or the triangle with its longest side bordering the line, could have created this three-dimensional object.
nadya68 [22]3 years ago
7 0

When a  body is rotating, there is a line that all the parts are turning about.  The parts farther away from that line travel on larger circle around that line, so they are moving faster.  Parts closer to the line follow smaller circles and move more slowly as a result.  Points right on the line do not travel at all.  

On the diagram you can see the greatest circle, formed by rotation. The points that form this circle are at the greatest distance from the axis of rotation. So you can see that only first or second options are true. But the second one is false, because the figure is not symmetric and therefore, formed shape must not be symmetric too.

Answer: correct option is A.

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Which equation represents the line that passes through (-3,5) and is parallel to the graph of y= -2/3x+5
Nostrana [21]
Parallel to the graph of y = -2/3x + 5
means that it has the same slope

Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b

plug that back into the equation
y = -2/3x + b
y = -2/3x + 3

The answer is <span>B. y= -2/3x+3</span>

This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).

Hope this helps :)
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The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit
Alla [95]

Answer:

The answer is below

Step-by-step explanation:

The diameter of a tire is 2.5 ft. a. Find the circumference of the tire. b. About how many times will the tire have to rotate to travel 1 mile?

Solution:

a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:

Circumference = 2π × radius; but diameter = 2 × radius. Hence:

Circumference = π * diameter.

Given that diameter of the tire = 2.5 ft:

Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft

b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.

1 mile = 5280 ft

The number of rotation required to cover 1 mile (5280 ft) is:

number of rotation = \frac{5280\ ft}{7.85\ ft\ per\ rotation}=672\ rotations\\\\\\

4 0
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Answer:

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Step-by-step explanation:

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