3 years ago

Please help... Solve using the quadratic formula x^2 - 6x - 40=0

Mathematics

1 answer:

Tasya [4]3 years ago

6 0

The answer is

X=10 or X= -4

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A woman who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the

geniusboy [140]

Converting to inches we have
$\\ \frac{65}{13} = \frac{x}{121 \times 12} \: or \\ \frac{65}{13} = \frac{x}{1452} \: so \\ (65)(1452) = 13x \: so \\ x = \frac{(65)(1452)}{13} = 7260 \: inches \\ = \frac{7260}{12} = 65feet \\ as \: the \: height \: of \: the \: space \: needle$

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3 years ago

Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i

Reika [66]

See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.

$\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2$

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.