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4vir4ik [10]
3 years ago
6

What is the length of the third side of the window frame below?

Mathematics
2 answers:
deff fn [24]3 years ago
7 0
A^2+b^2=c^2
42^2+b^2=58^2
1764+b^2=3364
b^2=3364-1764
b^2=1600
square root b^2=square root 1600
b=40 inches
Artist 52 [7]3 years ago
7 0

Answer:

Option A. 16 inches

Step-by-step explanation:

Since in a right angle triangle Pythagoras theorem is applicable.

Base² + height² = Hypotenuse²

In the given window frame height = 42 inches and hypotenuse = 58 inches

Therefore by Pythagoras theorem

58² = 42² + Base²

Base² = 58² - 42² = 3364 - 1764 = 1600

Base = √1600 = 40 inches

Therefore Option A. 40 inches is the answer.

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Answer:  \bold{a)\quad 51, 54, 57\qquad a_n=a_{n-1}+3}

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<u>Step-by-step explanation:</u>

a) This is an arithmetic sequence where 3 is added to the previous term.

48 + 3 = 51

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The recursive formula for this sequence is:  a_n = a_{n-1}+3

*****************************************************************************************

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100(2.5) = 250

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                                    625(2.5) = 1562.5

The recursive formula for this sequence is: a_n=(2.5)a_{n-1}

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