Sin404 = sin(360 + 44)
as sin(360 + α) = sinα
= sin44
Answer: See explanation
Step-by-step explanation:
We will use the formula for an arithmetic sequence which will be:
a + (n - 1)d
where a = unknown
n = 6
d = 4
We then slot them into the formula
a + (6 - 1)4 = 12
a + 5(4) = 12
a + 20 = 12
a = 12 - 20
a = -8
The 6 numbers are
1st term = -8
2nd term = -8 + 4 = -4
3rd term = -4 + 4 = 0
4th term = 0 + 4 = 4
5th term = 4 + 4 = 8
6th term = 8 + 4 = 12
Let us formulate the independent equation that represents the problem. We let x be the cost for adult tickets and y be the cost for children tickets. All of the sales should equal to $20. Since each adult costs $4 and each child costs $2, the equation should be
4x + 2y = 20
There are two unknown but only one independent equation. We cannot solve an exact solution for this. One way to solve this is to state all the possibilities. Let's start by assigning values of x. The least value of x possible is 0. This is when no adults but only children bought the tickets.
When x=0,
4(0) + 2y = 20
y = 10
When x=1,
4(1) + 2y = 20
y = 8
When x=2,
4(2) + 2y = 20
y = 6
When x=3,
4(3) + 2y= 20
y = 4
When x = 4,
4(4) + 2y = 20
y = 2
When x = 5,
4(5) + 2y = 20
y = 0
When x = 6,
4(6) + 2y = 20
y = -2
A negative value for y is impossible. Therefore, the list of possible combination ends at x =5. To summarize, the combinations of adults and children tickets sold is tabulated below:
Number of adult tickets Number of children tickets
0 10
1 8
2 6
3 4
4 2
5 0
Answer: 1 1/18
Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but <em>the </em><em>Numerator is the top number of a fraction</em><em> and the </em><em>Denominator is the bottom a fraction.</em> When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as 5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max (5/5 x 1/2 = 5/10= 1/2)
- First, you need to find a like denominator, which is 18
- Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3 ( 3/3 is just a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply 2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
- Next you add them but only the numerator 15/18 + 4/18 = 19/18
- Finally, you change the the fraction into a mixed number 1 and 1/18
