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3 years ago

Consider circle C with radius 5 cm and a central angle measure of 60°. What fraction of the whole circle is arc RS?

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

7 0

Answer:

There are a total of 360° in any given circle, so an arc swept out by 60° of that 360° would make up 60/360 = 1/6 of the circle's circumference.

The formal for the circumference of a circle comes out of the definition of one of the most famous constants in mathematics: π. π is defined as the ratio between a circle's circumference and its diameter, or:

From this definition, we can multiply both sides of the equation by d to obtain

or, circumference is π times the diameter. To find the diameter, we just need to double the radius, giving us 5 * 2 = 10cm. Usually you'll see π approximated as 3.14, which is likely what they want you to use here. Using that approximation, we find the circumference to be 3.14 * 10 = 31.4 cm.

Finally, to get the length of that arc, we just need to take 1/6 of the circumference (since the arc sweeps out 1/6 of the circle), giving us 31.4 * 1/6 ≈ 5.2 cm.

Step-by-step explanation:

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A used car is priced at $2,695. If you borrow the money for the car, your payments will be $122 a month for 30 months. How much

Studentka2010 [4]

Answer: $965

Step-by-step explanation:

The used car is priced at $2,695.

If you borrow the money for the car, your payments will be $122 a month for 30 months. This means that the total amount of money that you would have paid at the end of 30 months at a rate of $122 per month is the amount paid per month multiplied by the total number of months. It becomes

Total payment = 122×30 = $3660

This means that you ended up paying higher than you would have paid if you paid cash.

Amount that you would have saved = amount paid over 30 months - cost of the car

Amount that you would have saved

= 3660 - 2695 = $965

7 0

2 years ago

Alex is trying to run a certain number of miles by the end of the month Alex is 40% of the way to achieving her goal and she alr

docker41 [41]

Answer:

30 miles

Step-by-step explanation:

Given that:

Alex has some target to run a certain number of miles by the end of the month.

Goal already achieved = 40% of the total goal

Number of miles already run by Alex = 12 miles

To find:

Number of miles that Alex is trying to run by the end of month?

Solution:

We have to find nothing but the goal of Alex here.

Let the number of miles that Alex is trying to run by the end of the month = $x$ miles

As per question statement:

40% of total number of miles to be run = 12 miles

$\dfrac{40}{100}\times x = 12\\\Rightarrow 40x=12\times 100\\\Rightarrow x = \dfrac{1200}{40}\\\Rightarrow \bold{x = 30\ miles}$

Total number of miles that Alex is trying to run by the end of the month = <em>30 miles</em>

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3 years ago

Given m//n find the value of x

Alecsey [184]

Answer:

x=151

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2 years ago

Simplify the following fraction 4½-2⅝

Sophie [7]

Answer:

Step-by-step explanation:

4 1/2 - 2 5/8

4 4/8 - 2 5/8 = 1 and 7/8

i mean i guess you could also do this witho ut sol ving

4 4/8 - 21/8 --> 36/8 - 21/8

i dk it's si mplify not solve so here?

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3 years ago

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A restaurant charges $10 for a medium pizza and $1 for each topping what is the proportion

notsponge [240]

Answer:

1/11 if you mean the proportion of the cost of the topping to the cost of the whole pizza

Step-by-step explanation:

3 0

3 years ago

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