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Pachacha [2.7K]

1 year ago

6

If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?

1 answer:

Alekssandra [29.7K]1 year ago

5 0

Using the law of sines:

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Solve for b:

$\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}$

Answer:

7.708

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zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

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3 years ago

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andriy [413]

Answer:

y = $\frac{16}{3}x-79$

Step-by-step explanation:

From the given table,

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m = $\frac{y_2-y_1}{x_2-x_1}$

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y - h = m(x - k)

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y - 1 = $\frac{16}{3}(x-15)$

y = $\frac{16}{3}x-\frac{16}{3}(15)+1$

y = $\frac{16}{3}x-80+1$

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3 years ago

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lora16 [44]

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pogonyaev

Answer:

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Step-by-step explanation:

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3 years ago

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