Tan^-1 (tan x) = 42/25
x=tan^-1 42/25
x= 59.237 degrees.
There are 8! ways to arrange the 8 letters. Due to the repeated L (3×) and A (2×), only one out of (2!)(3!) = 12 of these is unique.
The number of unique arrangements is 8!/(2!*3!) = 3,360
Answer:
480
Step-by-step explanation:
Important Information:
A Book Has 12 Chapters.
The Mean length of the chapters is 40 pages.
Question to Answer:
How many total pages are there in the 12 chapters?
Explanation/Solution:
Let's assume that the total number of pages in the book is "x" pages.
To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.
=40
Multiply both sides by 12...
x = 480
Hence, The total number of pages in the 12 chapters is 480.
Slope = (-2 - 10)/(12 + 6) = -12/18 = -2/3
y = mx + b
10 = -2/3(-6) + b
10 = 4 + b
b =6
equation
y = -2/3x + 6
<span>x-intercept when y = 0
</span>-2/3x + 6 = 0
-2/3x = -6
x = 6 (3/2)
x = 9
answer is <span>d.9</span>
9514 1404 393
Answer:
Step-by-step explanation:
The dollar value of the 20% coupon will increase if the discount is from a larger amount. Applying the $25 coupon first reduces the amount that the 20% applies to, so reduces the dollar value of the 20% coupon.
Michelle used the 20% coupon first, so its value was 20%($100) = $20.
Natasha used the $25 coupon first, so the value of the 20% coupon was ...
20%($100 -25) = 20%(%75) = $15.
Michelle paid $20 -15 = $5 less.
