Answer:
See below ~
Step-by-step explanation:
<u>Circle 1</u>
- Circumference = 2πr = 2 x 3.14 x 2.5 = 5 x 3.14 = 15.7 m
- Area = πr² = 3.14 x (2.5)² = 3.14 x 6.25 = 19.625 m²
<u>Circle 2</u>
- Area = πr² = 3.14 x 1² = 3.14 mm²
- Circumference = 2πr = 2 x 3.14 x 1 = 6.28 mm
Answer:
420 people in 3 hours. 140 people per hour.
Step-by-step explanation:
this is quite simple
35 p = 15 m
140 p = 1 hour
420 p = 3 hours
Answer:
20 degrees i believe
Step-by-step explanation:
Answer:
30 violin players
Step-by-step explanation:
To answer this question, all you have to do is multiply:
10 cellists * 3 violin players for every cellist = 30 violin players in total
Hope this helps :)
Note the binomial expansion,
(<em>a</em> + 1/<em>a</em>)³ = <em>a</em> ³ + 3<em>a</em> + 3/<em>a</em> + 1/<em>a</em> ³
so
<em>a</em> ³ + 1/<em>a</em> ³ = (<em>a</em> + 1/<em>a</em>)³ - 3 (<em>a</em> + 1/<em>a</em>)
Similarly,
(<em>a</em> + 1/<em>a</em>)² = <em>a</em> ² + 2 + 1/<em>a</em> ²
We're given <em>a</em> ² + 1/<em>a</em> ² = 79, so
(<em>a</em> + 1/<em>a</em>)² - 2 = 79
(<em>a</em> + 1/<em>a</em>)² = 81
<em>a</em> + 1/<em>a</em> = ±9
but <em>a</em> > 0, so we ignore the negative solution.
Then
<em>a</em> ³ + 1/<em>a</em> ³ = 9³ - 3×9 = 702
