This is a 30-60-90 right triangle with the shorter leg having a length of 5.
To find the length of x, we must find the length of the longer leg of the right triangle. To do that, we must multiply the shorter leg by the square root of 3.
This is the simplest radical form. Hope this helps! :)
Answer:
x=3
Step-by-step explanation:
Answer:
3 or 2.999 (probably 3)
Step-by-step explanation:
So the volume of a cylinder = πr^2 * h
h = height
r = radius
now we know the radius. Leaving us with a simple equation which is:
π*9*h = 9π*h = 84.78 =
π*h = 9.42
h = 9.42 / π = 2.99847912785......
but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.
Reference my work if you're are confused, however, it's really messy so sorry about that.
The third data table accurately represents data in the histogram.
If you draw the histogram, it looks like in the .jpeg image enclosed with this answer.
<em><u>Problem One</u></em>
Remark
You don't pay a sales tax until cash is exchanged for goods or services.
So what is 70% off
Solution
Sale price = given price * (100% - 70%)
Sale Price = 72 * 30%
Sale Price = 72 * 30/100
Sale Price = 72 * 0.3
Sale Price = 21.6 dollars.
The sales tax is 5% of this amount
21.6 * 5/100 = 1.08
The total cost is = 21.6 + 1.08 = 22.68
Problem Two
If they marked up 100%, effectively they doubled the price.
New Price = old price + 100% of old price.
New Price = 48.50 + 48.50 = 97 dollars.
The sales tax is 6% * 97 = 6/100 * 97 = 5.82
Total Cost = Cost of item + Tax
Total Cost =97 + 5.82
Total Cost = 102.82 Answer <<<<
