Answer:
cos Θ = 
Step-by-step explanation:
Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by
h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )
h = 
In relation to Θ, 4 is adjacent and 5 is opposite, thus
cos Θ = 
=
You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.)
x+5y=35
x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15
The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test.
<span>$8.22h ≥ $623
Let's look at the options and see what works and what doesn't.
$8.22h > $623
* This inequality mostly works and it's true. But there may be a better choice later. So let's hold off on this one.
$8.22h ≤ $623
* That less than or equal has issues. Let's buy the bike if I have less money than what's needed? Nope, not gonna work. Although that equal portion does have an element of truth to it. But this is a bad choice.
$8.22h ≥ $623
* And this third option is better than the first. It simply says that you have to have enough or more money to buy the bike. The 1st equation basically said you have to have more money than the cost of the bike. So this is the correct choice.
$8.22h < $623
* This is worse than the 2nd option. In a nutshell, is says buy the bike when you don't have enough money. So bad choice.</span>
<span>(–7 + 3i) – (2 – 6i)
subtract the like terms.
-7 - 2 = -9
3i - (-6i) = 3i +6i = 9i
The answer becomes -9 + 9i</span>
Answer:
A Irrational
Step-by-step explanation:
