3 years ago

Each sheet of metal is 0.4 inches thick. If Cora stacks 4 sheets on top of each other, how thick will the stack be?

Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer:

1.6 inches

Step-by-step explanation:

Thickness of stack = $4\times0.4$ (there are four $0.4$ inches thick of the sheets of metal)

$=1.6$ inches

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Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ± five divided by six times

blagie [28]

Refer to the diagram shown below.

In the diagram, the two vertices are located at (0, a) and (0, -a).
The equation for the parabola is
$\frac{y^{2}}{a^{2}} - \frac{x^{2}}{b^{2}} =1$
The asymptotes have the equations
$y= \pm \frac{a}{b} x$

For the given problem,
The vertices are located at (0, +/-10).
Therefore a = 10.

The asymptotes are
$y = \pm \frac{5}{6} x$
Therefore
$\frac{a}{b} = \frac{10}{b} = \frac{5}{6} \\\\ 5b = 60 \\\\ b =12$

Answer:
The equation of the parabola is
$\frac{y^{2}}{100} - \frac{x^{2}}{144} =1$