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4 years ago

A circle with circumference 12 has an arc with a 48° central angle.

Mathematics

1 answer:

puteri [66]4 years ago

6 0

Answer:

1.6 is the length of the arc

Step-by-step explanation:

48/360*12=1.6

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I will give brainliest! Please Help!

muminat

Answer:

O 5 cm

Step-by-step explanation:

tan45 = 1 = 5/x

=> x = 5 cm

8 0

3 years ago

Latasha paid $75 to join a summer golf program. The course where she plays charges $30 per round. if Latasha spent 375, use the

Sloan [31]

Assuming you made an error typing the question out, and the formula should say 30g, as it's $30 a round:

$30g + 75 = 375$
$30g =375-75
\\30g = 300
\\g=300/30
\\g=10$

7 0

3 years ago

Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

6 0

2 years ago

The blank is the distance around a shape is?

Montano1993 [528]

It is the perimeter.

8 0

4 years ago

Read 2 more answers

Urgent help please

rosijanka [135]

Let's assume the frequency of sound be f and wave length is w.

Given that, the frequency of sound varies inversely as the wavelength.

So, we can set up an equation as following:

f*w = k Where k= constant of variation.

Other information is, the frequency of a musical note is 276 cycles per second when the wavelength is 1.2m.

So, next step is to plug in f = 276 and w = 1.2 in the above equation to get the value of k.

276 * 1.2 = k

So, k = 331.2

Next step is to plug in k = 331.2 in the above equation. So,

f * w = 331.2

Now we need to find the wave length : w when frequency : f = 600.

Therefore,

600 * w = 331.2

$w = \frac{331.2}{600}$

So, w = 0.552

Hence, the wave length is 0.552 m.

Hope this helps you!.

5 0

3 years ago