Answer:
The radius of the cylinder is 
Step-by-step explanation:
we know that
The volume of the cylinder is equal to

we have


assume

substitute the values and solve for r




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Answer:
Acute angles are less than 90
obtuse is more than 90
right angles are exactly 90
Step-by-step explanation:
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Step-by-step explanation:
35+35+x=180 (sum of interior angles of an triangle is 180
therefore
x=180-70
x=110