Answer:
<em>0° and 18°</em>
Step-by-step explanation:
3tan²β - tanβ = 0
tanβ(3tanβ - 1) = 0
tan β = 0 ⇒ 
<em>= 0°</em>
3tan β - 1 = 0 ⇒ tan β = 
⇒ 
= arctan ( ) ≈<em> 18°</em>
a
10.95x + 2.50, but for eight books so 10.95 x 8 + 2.50 = 90.10
b
12.50x + 4.50, but for six books so 12.50 x 6 + 4.50 = 79.50
c
To do this, we can set them both equal to each other and if x is a whole number of books, then they do pay the same amount. If x is a decimal, then they don't pay the same amount.
10.95x + 2.50 = 12.50x + 4.50
2.50 - 4.50 = 12.50x - 10.95x
-2 = 1.55x
This can never be a whole number, so therefore members and non-members can never pay the same amount for an order of x books.
Answer:
5 7/24
Step-by-step explanation:
First, you need to make the denominators the same. When you multiply 6 with 4 you get 24, and if you multiply 8 with 3 you get 24. Then you have to multiply the numbers you multiplied with the denominators with the numerator. So, 5 x 4 is 20 and 3 x 1 is 3. Once you put all the numbers together it should look like this: 3 20/24 and 9 3/24. In order to find the answer, you have to subtract the numbers from each other. Which would look like this: 9 3/24 - 3 20/24. But as you can see you can't subtract 3 from 20. So you have to carry the 9. This means you have to subtract 9 from 1, and then you have 27 for the numerator, this then makes it possible to subtract from 20. So then the fractions subtracted from each other is 7 and the whole numbers subtracted from each other is 5 (because the 9 is now 8 since we subtracted one from it). Whole numbers subtracted from each other: 5. Fractions subtracted from each other: 7/24. Add it together you get 5 7/24.
Numerator - the number above the fraction, ex 3 in 3/4
Denominator - the number below the fraction, ex 4 in 3/4
Answer:
cos (A+B+C)
Step-by-step explanation:
as A,B,C, are triangle we have A,B and C as 180
cost
$30 because you are taking away 20% of $30 and then adding back that 20%.
