Consider a triangle with two sides that measure 7 cm and 11 cm forming an angle
that measures 100°.

Find the length of the third side to the nearest centimeter
A) 12 cm
B) 13 cm
C) 14 cm
D) 15 cm

9514 1404 393

  C)  14 cm

Step-by-step explanation:

A triangle solver can quickly show you the third side is 14 cm.

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The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...

  c² = a² +b² -2ab·cos(C)

  c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74

  c ≈ √196.74 ≈ 14.03

The length of the third side is about 14 cm.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

3,000,540

step-by-step explanation: