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Andru [333]
3 years ago
14

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two

Mathematics
2 answers:
Ne4ueva [31]3 years ago
6 0

Answer:

7 cm and 2 cm

Step-by-step explanation:

the other possible sides add up to more than 13, therefore it cannot be possible to make a triangle with them. Triangle Inequality Theorem.

goldenfox [79]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th
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Answer:

The expression of h as function of x is   h = \sqrt{(d + 5500) (d - 5500)}

Step-by-step explanation:

Given as :

The distance of blimp  (AB) = 5500 feet

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The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = \frac{AC}{BC} = \frac{h}{d}

And sin Ф =  \frac{AB}{BC} = \frac{5500}{d}

∵, cos²Ф = 1 - sin²Ф

So, (\frac{h}{d})^{2} = 1 - (\frac{5500}{d})^{2}

Or, (\frac{h}{d})^{2} = (\frac{d^{2}- 5500^{2}}{d^{2}})

Or,                                     h² = d² - 5500²

∴                                        h = \sqrt{d^{2}- 5500^{2}}

Or,                                     h = \sqrt{(d + 5500) (d - 5500)}

Hence The expression of h as function of x is   h = \sqrt{(d + 5500) (d - 5500)}     Answer

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