2 years ago

There are 39.37 inches in 1 meter. How many inches are in 8 · 104 meters?

1 answer:

3 0

Step-by-step explanation:

$1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches$

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Answer:

The answer is the height h equals 9

Step-by-step explanation:

$a = \frac{1}{2} bh = 58.5\\ b = h + 4$

$58.5 = \frac{(h + 4)h}{2} = \frac{ {h}^{2} + 4h}{2}$

$117 = {h}^{2} + 4h \\ {h}^{2} + 4h - 117 = 0$

$x1 = - 2 + u \\ x2 = - 2 - u\\ x1x2 = ( - 2 + u)( - 2 - u) = - 117$

$4 - {u}^{2} = - 117 \\ 4 + 117 = {u}^{2} \\ {u}^{2} = 121$

$\sqrt{ {u}^{2} } = + or - \sqrt{121} \\ u = + or - 11$

$x1 = - 2 + 11 = 9 \: or \\ x2 = - 2 - 11 = - 13$

since areas have to be positive -13 is incorrect therefore

$h = 9$

Check:

$58.5 = \frac{(h + 4)h}{2} = \frac{(9 + 4)9}{2} = \\ \frac{13 \times 9}{2} = \frac{117}{2} = 58.5$

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