All categories

11 months ago

A clock has a diameter of 16 inches. How far does the hour hand travel during 5 hours? Use 3.14 for pi.

Mathematics

1 answer:

Karo-lina-s [1.5K]11 months ago

8 0

Therefore the hour hand travels 40.192in in 5 hours

<h3>
How to calculate the area of a sector</h3>

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;

β = 360/5

β = 72 degrees

Given the following parameters

r = 16/2

r = 8in

Substitute into the formula

A = 8²(72π)/360
A = 40.192in

Therefore the hour hand travels 40.192in in 5 hours

Learn more on area of a sector here: brainly.com/question/22761976

#SPJ1

You might be interested in

Which are perfect squares? Check all that apply.

den301095 [7]

36, 16, 81, and 64 are all of your perfect squares.

If you need me to explain, just let me know! :)

6 0

3 years ago

Read 2 more answers

The surface area of a three-dimensional object is:

VLD [36.1K]

Where is the picture

8 0

2 years ago

Please answer the question below for 50 points. It is very easy. 6th-grade math!

Korvikt [17]

Answer:

I might be wrong, please don't yell at me if I am :(

5 0

2 years ago

Read 2 more answers

el dividendo en una division exacta es toma el valor de 240 halle el valor del cociente si el divisor es una unidad menor que el

baherus [9]

Tal vez deberia buscar las respuestas en internet

7 0

3 years ago

The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the

vladimir1956 [14]

Answer:

$P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}$

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that $p = 0.4$

Eight traffic fatalities

This means that $n = 8$

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}$

3 0

3 years ago