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11Alexandr11 [23.1K]
3 years ago
8

The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as

the time progresses from 12:00 to 12:25.
The tip of the minute hand travels ________ inches
Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

       Circumference of circle (C)  =  2\pi r   {where r is radius of circle}

                                                      =  2 \times \pi \times 8   {given r = 8 inches long}

                                                      =  16 \pi

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents  \frac{25}{60}  which is  \frac{5 }{12}  of the circumference, that means;

The length of arc from time 12:00 to 12:25  =  \frac{5}{12}\times \text {Circumference of circle}

                                                                       =  \frac{5}{12} \times 16 \pi

                                                                       =  \frac{20}{3} \pi = 6.67\pi

Now, assuming value of \pi = 3.14; so 6.67\pi =  6.67 \times 3.14 = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

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Mrrafil [7]

Answer:

x=1.5

or

x=1 1/2

Step-by-step explanation:

4x-7>-1

add 7 to both sides

4x=6

divide by 4 on both sides

x=1.5

or

x=1 1/2

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2 years ago
A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
Alex Ar [27]

The current depth of the hole is at least 20 feet below ground level.

Inequality is an expression that shows the non equal comparison of numbers and variables.

Let d represent the current depth of the hole.

To be at least 40 feet below ground level, he need more than 2 times its current depth.

2d < -40

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Hence the current depth of the hole is at least 20 feet below ground level.

Find out more on inequalities at: brainly.com/question/11613554

3 0
2 years ago
Read 2 more answers
Which number does NOT represent an integer? A. 3 B. 20.1 C. -10 D. 20/4​
guapka [62]

Answer:

the number doesnt represent an integer?

A. 3

B. 20.1

C. -10

D. 20/4​

Step-by-step explanation:

We call integers the “counting numbers, their negatives and zero”. I.e.  0,1,−1,2,−2,3,−3,.. etc.

non-integers means “everything except integers”. Which is not well-defined (i.e. nonsense). Why? Because nobody said what “everything” is.

Therefore, when somebody says “non-integer” he has to specify how he defines “everything”. In this case, our “everything” is probably “real numbers”.

Real numbers have an interesting definition concerning an abstract mathematical object called “field” . Let’s forget about that and let’s focus on a high school definition: Real numbers are probably all the numbers you know. They are those represented by a decimal and their negatives e.g.  345.232…  and  −243.13242240…  where there are “infinitely many” digits at the end. Note that  2.5  is also a real number. Integers are too. Basically, real numbers are the numbers used to measure distances and their negatives.

To summirize, your answer is the following:

“non integers” means everything except the integers, where everything is defined however we want. The most common definition of everything in this case is “real numbers” and therefore the most common interpretation of “non integers” is “reals which are not integers”.

Examples of “reals which are not integers”:  1.5,2.88,1.3333…  etc

the answer is

B. 20.1

6 0
2 years ago
Rewrite the equation 4x - 5y = 20 into slope-intercept form and graph it. ​
natta225 [31]
Y= 4 - 4/5x all you have to do is make it go up 4 from 0 and either go down 4 and go right 5 or up 4 and to the left 5... hope this helped!
6 0
3 years ago
Write the equation of the line that passes. Throught the point (-2,1)and (0,8)put your aswer in fully reduce point slope form un
Soloha48 [4]

Answer:

Step-by-step explanation:

first, we need to find the slope

slope = (y2 - y1) / (x2 - x1)

(-2,1)...x1 = -2 and y1 = 1

(0,8)...x2 = 0 and y2 = 8

now sub

slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2

point slope form : y - y1 = m(x - x1)

using point (-2,1)....x1 = -2 and y1 = 1

slope(m) = 7/2

now sub

y - 1 = 7/2(x - (-2) =

y - 1 = 7/2(x + 2) <==== here is one answer

y - y1 = m(x - x1)

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slope(m) = 7/2

now sub

y - 8 = 7/2(x - 0) <===== another possible answer

6 0
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