A can be converted since it is a repeating decimal
Answer: Total Volume = 15π + 18 π= 33π cubic mm
Step-by-step explanation:
What is the volume of the composite figure? Leave the answer in terms of π.
_33π mm3
We have a cone here conjoined to a semi-sphere.
so
Cone volume: C = (1/3)*(πr^2) * h
semi-sphere volume : V = (1/2)* (4/3) * (π * r^3)
r = 3 mm and h = 5mm
so C = (1/3)*(π (3)^2) * 5 = 15π cubic mm
V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm
Total Volume = 15π + 18 π= 33π cubic mm
Answer:
-15
Step-by-step explanation:
<u>Definition of absolute value: </u>
<em>Distance from zero on a number line. </em>
<em />
Imagine a number line with 0 in the middle of it. Now mark the number 3 on it. Also mark the <em>opposite </em>of 3, which is -3. What is the <u>distance</u> from zero to those 2 points? it's 3.
This is exactly like saying |3| = 3 and |-3| = 3
Even if the number inside absolute value is negative, it <em><u>simplifies</u></em> to the positive of the same number.
_______________________________
So let's talk about your problem.
-|-15|
> the absolute value simplifies to 15
-|-15| = - 15
So that ends up being your answer.
Hope this helps!!!!!!!
Answer: y
=
x
2
+
93
x
−
288
Your Welcome
A = P(1+i)ⁿ ==> compound interest where P= initial Capital, I =interest in% and n the number of years. A is the total amount collected over n years
A= 500(1.0325)¹² ==> 500(1+0.0325)¹² ==> 500(1+3.25%)¹²
The mistake is:
Either she has a yearly interest of 3.25% & she wrote 12 instead of 3 (years)
OR
She got a quarterly interest of 3.25% and in this case she should have divided 3.25& by 12 (4 quarter a year ==> 12 quarter for 3 years) by keeping as exponent the number 12 (right)
1)Now the Amount of A (as she wrote it) =500(1.0325)¹² = 734
2) If she wrote 12 instead of 3, and after correction A=500(1.0325)³ =550
3) But if she had taken the quarterly interest for a period of 3 years (12 Qrtr)
then A =500[1+(3.25%)/4]¹² = 551
