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jasenka [17]
2 years ago
13

The diameter of a clock's face is 6 inches. Find the length of the mirror arc formed by the hands of the clock at 4:00. Round to

the nearest hundredth.

Mathematics
1 answer:
Genrish500 [490]2 years ago
6 0
We know that

360°/12 hour-----------> 30°/hour

<span>Central angle at 4 .00 is 120 degrees

the radius of a clock is 6/2-----> r=3 in
length of a circumference=2*pi*r-----> 2*pi*3----> 18.84 in

the minor arc at 4 .00 is  for a central angle of 120</span>°
so
if 360° (full circle)---------> has a length of 18.84 in
 120°----------------------> X
X=120*18.84/360-------> X=6.28 in

the answer is
6.28 in
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Answer:

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Step-by-step explanation:

The easiest way to do this is to simply try all of the x-vales given as options.

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g(x)=\mid x \mid - 2\\g(-1)=\mid -1 \mid - 2 = 1 - 2 = -1

As we can see, g(-1) is not -4.

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Since 0 < 3 < 4, we'll use the 2nd equation.

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Option 3: x = 7

Since 4 \leq 7, we'll use the 3rd equation.

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Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:

Option 4: x = 4

Since 4 \leq 4 (less than <em>or equal to</em>), we'll use the 3rd equation.

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3 0
2 years ago
Help with some algebra please?
kipiarov [429]
Vertex form is   f(x) = a(x - b)^2 + c    where the vertex is (b, c) and a is some constant.

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The other 3 are derived in the same way.
so required equation is f(x) = (1/9)(x + 6)^2 - 1




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