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jasenka [17]
3 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]3 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:

The equation that best models this situation is :

b. \frac{x}{20}=\frac{x+400}{25}

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

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⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x+400}{25}\ miles/h

Since the speeds are same, so the equation to find x can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

Solving for x

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}

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Using distribution.

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Subtracting both sides by 4x

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