I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
Answer:
1. Compound
2. Simple
3. Simple
4. Compound
Step-by-step explanation:
The way I differentiated these was based on the quantitivity of each scenario. I related it to compound and simple sentences. For example, when one act was committed, it was clearly singular & simple. But if there was two actions consecutively, I'd consider that compound.
Answer:
Town B will eventually overtake Town A
in 1990 Town B will have a larger population
Step-by-step explanation:
To work out how big town A will be in 1990 you need to do 200 + (200x40) because you add 40 years worth of increased population onto the starting population
To work out how big town B will be in 1990 you need to use the equation 200 X 1.1^40 because to work out plus 10 percent you need to do 1.1 and do it to the power of 40 for how many years
in 1990 town a will have a population of 8200 and town B will have a population of 9051.85
The student who said 302 is a greater number is correct because since it has a 0 it brings the number into the hundreds while 32 is a lesser value . another example would be to make 32 you would need 3 ten blocks and 2 ones blocks and to make 302 would need 3 hundreds blocks and 2 ones blocks
if 7/2 = x/81
then you cross multiply and get
2x = 567 then divide by 2 and you get
283.5 and that's your answer
I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.
I'm pretty sure that by the time you reach this problem, you've learned to find
the equation of a line that passes through two given points. You have two points: (2, 100) and (5, 205). The equation of the line through them is [ y = 35x + 30 ].
6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)
7). The cost per month is $35. (The slope of the line.)
8). We already did that, up above. [ y = 35x + 30 ].
9). 'x' in the equation is the number of months.
There are 12 months in one year.
y = 35(12) + 30 = $450
