You can read fractions as one number divided by another. So 1/6 is equivalent to 1 divided by 6. It is then selfevident that the larger the denominator the smaller the number. If you have one cake and divide it between 3, 6 or eight people, three people will get a larger slice than 6 people sharing the same cake. And 6 people will get a larger slice than 8 people dividing the same cake.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
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Set-Builder Notation:
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We will use the Pythagorean theorem:
b² = 19² - 3² = 361 - 9 = 352
b = √352 = 18.76 ≈ 18.8
sin A = 3 / 19 = 0.15789
m ∠ A = sin ^(-1) 0.15789 = 9.08° ≈ 9.1°
m ∠ B = 90° - 9.1° = 80.9°
Answer:
A ) m∠ A = 9.1°, m∠B = 80.9°, b = 18.8
The question doesn’t provide enough information but it would take a minimum of six hours to make at least $40: more specially $42.
Answer: 30
Explanation: To find the least common multiple of <em>lcm</em> of 5 and 6, we begin by listing the first few multiples of each number.
<em><u>Multiples of 5</u></em>
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
5 x 5 = 25
6 x 5 = 30
Notice that we skipped 0 x 6 in our list of multiples. That's because 0 x 6 is 0 and our least common multiple can't be 0.
Next we list the multiples of 6. When we list the multiples of 6, it's a good idea to keep an eye on the list of multiples for 6 so that we know when we have found a least common multiple.
<u><em>Multiples of 6</em></u>
1 x 6 = 6
2 x 6 = 12
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30
Notice that 30 appears in both lists so we can stop here.
This means that the least common multiple of 5 and 6 is 30.
