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MatroZZZ [7]
3 years ago
7

In one day, by how much does the distance traveled by the tip of the minute hand exceed the distance traveled by the tip of the

hour hand?
Mathematics
1 answer:
lidiya [134]3 years ago
7 0
In one day, there are 24 hours. In 1 hour, there are 3,600 seconds. So, that means that there are 86,400 seconds. Also, in 1 day, the short hand which denotes the number of hours, makes 2 revolutions around the clock. Its distance traveled would be twice the perimeter of the circle. 

Distance traveled by hour hand = 2(2πr) = 4πr₁

In 60 s, the long hand, which denotes numbers of minutes, makes one revolution around the clock. Since there are 86,400 seconds in a day, that would be a total of 1,440 revolutions.

Distance traveled by minute hand = 1,440(2πr) = 2,880πr₂

Difference = 2880πr₂ - 4πr₁ = 4π(720r₂ - r₁), where r₁ is the length of hour hand and r₂ is the length of minute hand.
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One side of a triangle is 2 times the second side. The third side is 5 ft longer than the second side. The perimeter of a triang
TiliK225 [7]

Answer:

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Step-by-step explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle =  Length of first side + length of second side + Length of third side.

2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft

Length of Second Side = 19 ft.

Length of First side = 2x= 2\times19 = 38 ft

Length of Third side = 5+x= 5+19=24ft

Hence the Length of triangles are 19 ft,38 ft,24 ft.

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3 years ago
Use the function below to find f(4).<br> f(x)= 1/3•4^x
kenny6666 [7]

Answer:

f(4) = 85 1/3 or 85.333...

Step-by-step explanation:

To find f(4), you must substitute 4 in place of x whenever x appears:

f(x) = \frac{1}{3} * 4^{x}

f(4) = \frac{1}{3} * 4^{4}

Next, simplify the exponent:

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Evaluate the given numerical expression <br> (5+7 to the 3rd power divided by 7 times 7
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A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically sign
mamaluj [8]

The required type of p-value would she want to obtain is small p-value.

<h3>What is hypothesis test?</h3>

Hypothesis testing is a type of measurable surmising that utilizes information from an example to make inferences about a populace boundary or a populace probability distribution. Initial, a speculative supposition that is made about the boundary or dispersion.

<h3>According to question:</h3>

P-value  shows that the outcomes are genuinely huge.

P-value  in Measurements assists with performing speculation test and it assists with deciding the meaning of the outcomes.

A little P-value  commonly (P<0.05) demonstrates solid proof against the invalid speculation in this way, we reject the invalid speculation, on opposite when P-esteem is enormous we can't dismiss the invalid speculation.

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