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nadya68 [22]
3 years ago
14

What is UT? Please show work

Mathematics
2 answers:
Norma-Jean [14]3 years ago
5 0

Answer:

UT is the right angle triangle.

where UV is 8cm

TV:17cm

UV:?

Angle:UTV:60

UT is a right angle triangle

MakcuM [25]3 years ago
4 0

Answer:

UT: 15

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html?vc=90&vx=&vy=8&va=&vz=17&vb=&angleunits=d&x=44&y=23

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mya average 86 points on five tests. what would she have to score on the sixth test to bring her average up by one point
Ray Of Light [21]

Answer:

The answer is 88.

She would have to score 88

Step-by-step explanation:

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4 0
3 years ago
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How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

.

For instance, if I divide the set into parts {1,2,4}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

.

Once one makes that observation, the rest of the proof is straightforward. There are 25=32

different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.

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4 years ago
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The magnitudes of the moon and sirius are -12.5 and -1.44, respectively. approximately how many times is the moon brighter than
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Solution:

we are given that

The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.

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3 0
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