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2 years ago

En una cancha se va a pintar la circunferencia central que tiene un diámetro de 5 m .¿cual es la longitud de la circunferencia?

Mathematics

1 answer:

Alona [7]2 years ago

4 0

Answer:

The length of the circumference is $5\pi\ m$ or $15.70\ m$

Step-by-step explanation:

The question in English is

On a court, the central circumference will be painted, which has a diameter of 5 m. What is the length of the circumference?

we know that

The circumference of a circle is given by the formula

$C=\pi D$

we have

$D=5\ m$

substitute

$C=\pi (5)\\C=5\pi\ m$

This is the exact value

assume

$\pi=3.24$

$C=5(3.14)=15.70\ m$

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Brenda is rolling a six-sided die and flipping a coin. Complete each of the following sentences regarding the probabilities invo

sveta [45]

So for number there are 6 possible outcomes nad 5 is one of them so 1/6
He next one there are 2 outcomes and heads is 1 outcome so 1/2
For the next one you have to multiply them together so you get 1/12
And the events are independent because whatever you roll on the die won’t affect the coin(it actually does on a very small scale but I don’t think you go into that much detail for high school maths)

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2 years ago

The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute va

d1i1m1o1n [39]

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

$d_{min} = 91.4, d_{max} = 94.5$

$d=\frac{d_{min} + d_{max}}{2}$

$d=\frac{91.4 + 94.5}{2}$

d=92.95

$d_{sol}=\frac{d_{max} - d_{min}}{2}$

$d_{sol}=\frac{94.5 - 91.4}{2}$

$d_{sol} =1.55$

Absolute Value Equation:

|x - d| = $d_{sol}$

|x - 92.95| = 1.55

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2 years ago

The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m. To the nearest

wariber [46]

Answer:

27m

Step-by-step explanation:

It's the Pythagorean Theorem.

20^2+18^2=c^2

400+324=c^2

724=c^2

take the square root of both sides

26.9m=c

to the nearest meter = 27

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2 years ago

The country of Sylvania has decided to reduce the number of its illiterate citizens by \dfrac35

Alex73 [517]

Answer:

P(t) = 9,000 - 5,400t

Correct statement and question:

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Reduction rate in the number of illiterate people in Sylvania annually = 3/5

Number of illiterate people in Sylvania this year = 9,000

2. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

P(t) = Number of illiterate people in Sylvania this year - (Number of illiterate people in Sylvania this year * Reduction rate in the number of illiterate people in Sylvania annually)

Replacing with the values and variables provided, we have:

P(t) = 9,000 - (9,000 * 3/5t)

P(t) = 9,000 - 5,400t

Now we can calculate P(1), this way:

P(1) = 9,000 - 5,400 * 1

P(1) = 3,600

And we can calculate when there won't be illiterate people in Sylvania, as follows:

P(t) = 9,000 - 5,400t

9,000 - 5,400t = 0

-5,400t = -9,000

t = -9,000/-5,400

t = 1.67 years

t = 1 year and 8 months (0.67 * 12 = 8)

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2 years ago

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Given: Circle X with a Radius r and circle Y with radius s Prove: Circle x is similar to circle y

lana [24]

Two figures are similar if one is the scaled version of the other.

This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.

To be more precise, you only need two steps to prove that every two circles are similar:

Translate one of the two circles so that they have the same center
Scale the inner circle (for example) unit it has the same radius of the outer one. You can obviously shrink the outer one as well

Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.

Recapping, we have:

Start with circle X and radius r
Translate it so that it has the same center as circle Y. This new circle, say X', is similar to the first one, because you only translated it.
Scale the radius of circle X' until it becomes $s$ . This new circle, say X'', is similar to X' because you only scaled it

So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.

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2 years ago

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