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Yanka [14]
4 years ago
5

In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by

requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulae for the area of a triangle, such as half the base times the height. Use Heron's Formula to find the area, in square yards, of ΔABC.
A. 16.493
B. 14.697
C. 13.829
D. 15.585

Mathematics
1 answer:
White raven [17]4 years ago
8 0

Answer:B

Step-by-step explanation:

This is pretty trival, just plug the numbers in the formula.

Semi perimeter is = (5+6+7)/2 = 9

Area is sqrt((9)(9-7)(9-6)(9-5)= sqrt(3^2 * 2 * 3 * 2^2)

= approximately 14.6969 :) or B

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P(a\ \textless \ X\ \textless \ b)=P(X\ \textless \ b)-P(X\ \textless \ a) \\  \\ =P\left(z\ \textless \  \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \  \frac{a-\mu}{\sigma} \right)

Given that the lengths of nails produced in a factory are normally distributed with a mean of 4.63 centimeters and a standard deviation of 0.06 centimeters.

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Therefore, the two lengths that separate the top 7% and the bottom 7% are 4.54 and 4.72.
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