The common ratio of the sequence is calculated by dividing the second term by the first term or dividing the third term by the second term. That is,
r = 250 / 333 = 0.75
or r = 187 / 250 = 0.748 = 0.75
To get the next term, we multiply 187 by 0.75 giving us an answer of 140.25 or 141.
Use the Pythagorean Theorem
6 feet and 14 feet are the "legs" and the ladder length is the hypotenuse.
hypotenuse^2 = 6^2 + 14^2
hypotenuse^2 = 36 + 196
hypotenuse^2 = 232
<span><span><span>hypotenuse = 15.2315462117
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ladder length = 15 feet
Source:
http://www.1728.org/pythgorn.htm
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Katia and Thomasina play a computer game and record these scores. Katia: 8, 6, -4, -7, 2, 0, 3 Thomasina: -11, 0, 8, 7, 5, -7, 1
suter [353]
Answer:
Step-by-step explanation:
there is no factorization of y^2 -2y +35 in real numbers
Thomasina correctly determined two factors of 35 that differ by 2, but that is not what is needed here. For this problem, she needs two factors of 35 that have a sum of 2.* (There aren't any real-number factors that meet that condition.)
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The factorization in complex numbers would be ...
= (y -1 -i√34)(y -1 +i√34)
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* Technically, she needs two factors of 35 with a sum of -2. Both factors would have to be negative.
D. The no. of bags of grapes left in the fruit drawer after taking out one of 9 bags of grapes
