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Archy [21]
3 years ago
6

I need help! please and thank you

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

20\pi m

OR

62.8318531 m

Step-by-step explanation:

This is actually pretty simple

The distance the tip travels is the arc length and the length of the pendulum is the radius of a circle

The formula for arc length is <u>Angle in Radians x Radius</u>

<u></u>

So pi/12 * 4 = pi/3 m

We know this is how much it travels every second so it is going at pi/3 m/s

One minute is 60 seconds

pi/3 * 60 = 20pi m

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N the diagram, and are horizontal lines and is a vertical line segment. If FB : FC = 4 : 3, what are the coordinates of point D?
riadik2000 [5.3K]
<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment. Given that FB : FC = 4 : 3, From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1). We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A) Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1)) Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3. Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4). Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3. Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4). Therefore, the coordinates of point D is (-6, -4).</span>
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Work out the value of x.
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3 years ago
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The total distance an object travels varies directly with the length of time it travels. If an object travels 24 meters in 9 sec
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TIME REMAINING
ollegr [7]

Answer:

  (b)  (x -10)(x +10)

Step-by-step explanation:

The factorization of the difference of squares is a special form:

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<h3>Application</h3>

Your expression is recognizable as the difference of squares:

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Using the above form, the factorization is ...

  = (x -10)(x +10) . . . . . . . . matches the second choice

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