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4 years ago

Which best describes how to find the length of an arc in a circle?

Mathematics

2 answers:

Vesna [10]4 years ago

5 0

A. Simplify the fraction of the arcs degree over 360 then multiply by the circumference of the circle

Schach [20]4 years ago

3 0

Answer:

<h2>A. Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.</h2>

Step-by-step explanation:

The first choice describes the right way to find the length of an arc in a circle.

The length of an arc is defined as

$L=2\pi r (\frac{\theta}{360\°} )$

Where $2\pi r$ represents the circumference of the circle and $\theta$ represents the arc's degree measure.

So, as you can observe through this formula, we need to divide the arc's degree measure by 360°, and then multiply this result with the circumference of the circle, that's the right way based on the definition of arc length.

Therefore, the right answer is A.

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Help me please. 50 points!

natima [27]

Answer:

B for sure!

Step-by-step explanation:

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3 years ago

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Mark owes his sister $15. He earned $20. He gave 1/5 of his earnings to a local charity and then he paid his sister. Does Mark h

ehidna [41]

Answer:

Yes, Mark has $16 left and only has to pay his sister $15.

Step-by-step explanation:

1/5=x/20

use cross multiplication to find (x),which represents 20% of 20.

x/20=1/5 (cross multiply)

20=5x (divide by 5 on both sides)

x=4

This tells you that Mark gave $4 to the local charity.

20-4=16

Subtracting 4 from his original amount, he now has $16 left.

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4 years ago

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g The total national health expenditures per capita (in dollars) for 2006 and projected to 2021 can be modeled with the equation

Alex73 [517]

Answer:

a) The predicted per capita health expenditures for 2018 is $11943.5.

b) After 2018, it will take 16 years for the 2018 expenditures to double

Step-by-step explanation:

The total national health expenditures per capita, in dollars, is given by the following equation:

$H(t) = 6791e^{0.04343t}$

In which t is the number of years after 2005.

a. Find the predicted per capita health expenditures for 2018.

2018 is 13 years after 2005, so this is H(13).

$H(t) = 6791e^{0.04343t}$

$H(13) = 6791e^{0.04343*13}$

$H(13) = 11943.5$

The predicted per capita health expenditures for 2018 is $11943.5.

b. According to the model, how long will it take the 2018 expenditures to double?

First we find how many years after 2005, in which t is found when H(t) = 2*11943.5.

$H(t) = 6791e^{0.04343t}$

$2*11943.5 = 6791e^{0.04343t}$

$e^{0.04343t} = \frac{2*11943.5}{6791}$

$e^{0.04343t} = 3.5174$

Applying ln to both sides

$\ln{e^{0.04343t}} = \ln{3.5174}$

$0.04343t = \ln{3.5174}$

$t = \frac{\ln{3.5174}}{0.04343}$

$t = 29$

It will take 29 years after 2005 = 29-13 = 16 years after 2018.

After 2018, it will take 16 years for the 2018 expenditures to double

5 0

3 years ago

PLZ answer quick!!!!!

Blizzard [7]

Number of items sold by Shelley = 3 items.

Let us assume cost of each item sold by Shelley = $ x each.

Total cost of 3 items for Shelly sold = 3*x = 3x.

Number of items sold by Billy Bob = 4 items.

The cost of each item sold by Billy Bob = $2.25 less than the items that Shelley bought = $(x-2.25) each.

Total cost of 4 items for Billy Bob sold = 4*(x-2.25) = 4(x-2.25).

Both Shelley and Billy Bob paid the same amount of money. So, we can setup an equation now.

a) Total cost of 4 items for Billy Bob sold=Total cost of 3 items for Shelly sold.

4(x-2.25) = 3x

b) Solving equation for x now.

Distributing 4 over (x-2.25), we get

4x - 4*2.25 = 3x.

4x -9 = 3x.

Adding 9 on both sides, we get

4x -9+9 = 3x+9

4x =3x+9.

Subtracting 3x from both sides, we get

4x-3x =3x-3x+9.

x = 9.

c) Checking the solution of the equation by plugging x=9 in equation we got above.

4(x-2.25) = 3x => 4(9-2.25)= 3*9

=> 4*6.75 = 27

=> 27 = 27.

We got left side = right side. So the solution x=9 is correct.

d) The cost of each item sold by Billy Bob = 9-2.25 = $6.75

Therefore, the cost of each item sold by Shelley is $9 and cost of each item sold by Billy Bob is $6.75.

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3 years ago

HELP plz!!!!!

Svet_ta [14]

Answer:

the telephone polé is 24ft.

Step-by-step explanation:

30^2-18^2=b^2

900-324=b^2

576=b^2

\sqrt[576]=sqrt(b^2]

24=b

b=hight of telephone

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3 years ago

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