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3 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]3 years ago

4 0

Answer:

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

Step-by-step explanation:

<u><em>The question in English is</em></u>

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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Shkiper50 [21]

Answer:

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Step-by-step explanation:

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<h3>length of AB</h3>

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A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...

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2 years ago

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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

NOW we can fill in the derivative and solve for $\frac{dx}{dt}$ .

Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

$\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec$

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3 years ago

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guapka [62]

Answer:

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3 years ago

How long would it take?

lutik1710 [3]

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4290 ÷ 78 = 55

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4 years ago

If Anne can type 8 words for every 5 words. James can type if James can type 150 words how many words can Anne type? HELP PLEEEA

erma4kov [3.2K]

So what your saying is that James can type 5 words and Anne can type 8 words right? And James types 150 so how many can Anne type? Is that what your asking?

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