Hey
Your answer is pretty simple
1/√2
Don't forget to mark Brainliest :^)
Y - 18 = -1.5(x - 12)
I hope this helped out! Have a nice day :)
(Good luck!)
Answer:
18ft
Step-by-step explanation:
L = length
W = width
l = w + 2ft ; because the is 2 ft longer than width
The area of a rectangle is lw
You can take the first equation ( l = w + 2 ) and plug it in lw
like this: lw ---> (w+2)w = w^2+2w
then from the question you get: w^2+2w=19.25
you use the quadratic formula and get w = 3.5
then from the first equation, you get l = 3.5+ 2 so the length is 5.5
lastly, you use the perimeter formula: 2(l+w) so 2(9) = 18
so 18ft
This is a growth exponential equation.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.
The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.
CommentRealize that if her boss does not want to give her compounded interest that she could still make
Ln = L

= 100 + (n - 1)*0.02*100
L

= 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more.
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."