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2 years 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:

valentina_108 [34]2 years ago

8 0

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>

A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
It is also known as the circle's longest chord.
Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

Let's say the hour hand completed one full round around the clock.
If this was the case, it would have been 2 $\pi$ ×8 inches around.
We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2 $\pi$ ×8×( 5/12 ).

Distance hour hand travel is 20.94 inches.

Therefore, the distance hour hand travel in 5 hours is 20.94 inches.

Know more diameter here:

brainly.com/question/390660

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If UW = 9x – 9, what is UW in units?

Tju [1.3M]

I will answer this question to the best of my ability, because you have not provided a value of x to plug in.

UW is always equal to 9x-9 or 9(x-1) whenever x is a real number. By plugging in x, we can get the value. For example, if x was 4, we plug in x, giving us 9*4-9=36-9=27 units or 9(4-1)=9(3)=27 units
Don't forget to include units when you complete your answer!

Hope this helps! I did as much as I could!

5 0

3 years ago

For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as:

$4,000= 1,500e^{0.053t}$

$\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}$

$\frac{8}{3}=e^{0.053t}$

$e^{0.053t}=\frac{8}{3}$

Take natural log of both sides:

$\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})$

$0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})$

$0.053t\cdot (1)=0.9808292530117262$

$\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}$

$t=18.506212320$

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

$2000+18.5=2018.5$

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0

3 years ago

On a large baking tray, 40 cookies can be baked together. To bake 40 cookies it takes 14 minutes, for baking 80 cookies it takes

zalisa [80]

The answer is B (56) because it states that it takes 14 minutes to bake 40 cookies, and you already have 100 cookies so you would just add the time it took to bake 40 cookies which would be 42+14=56

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2 years ago

What is the scale factor of the dilation?

VLD [36.1K]

The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)

The scale factor k can be obtained from any one of the ratios:
$scale\, factor\, =\, k\, = \frac{OD'}{OD}=\frac{OE'}{OE}=\frac{OF'}{OF}=\frac{OG'}{OG}=\frac{1}{2}$

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2 years ago

Read 2 more answers

Name the kind or kinds of symmetry the following figure has: A

denpristay [2]

It is a straight line of symmetry because if you have a paper A and you fold it, it will form a straight line, and that is also meaning a straight line of symmetry. If you fold it any other way, it will not be a line of symmetry.

Hope this helps you ;)

6 0

3 years ago