Answer:
a = 9.4 cm
b = 12.0 cm
Step-by-step explanation:
Check the image uploaded for diagram;
For the first diagram, side length a is calculated as follows;
a² = 8² + 5²
a² = 64 + 25
a² = 89
a = √89
a = 9.4 cm ( approximated to 1 decimal place)
For the second diagram, side length b is calculated as follows;
b² = 17² - 12²
b² = 145
b = √145
b = 12.0 cm (approximated to 1 decimal place)
Answer:
Representative, affiliate, associate, branch, chapter, component
Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
Answer:
x=0.0819/0.59
Step-by-step explanation:
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