Answer:
Step-by-step explanation:
What are we calculating ??? If it is volume of a cone=1/3πr^2h
1/3×3.142×4×4×6
=100.54units cube
To calculate volume of cylinder=πr^2h
V=3.142×4×4×6
V=301.63 units cube
The difference between the 6th term and the 9th term of the sequence is 135
<h3>How to determine the difference</h3>
Given that the nth term is;
3n² + 11
For the 6th term, the value of n is 6
Let's solve for the 6th term
= 3( 6)^2 + 11
= 3 × 36 + 11
= 108 + 11
= 119
For the 9th term, n = 9
= 3 (9)^2 + 11
= 3( 81) + 11
= 243 + 11
= 254
The difference between the 6th and 9th term
= 254 - 119
= 135
Thus, the difference between the 6th term and the 9th term of the sequence is 135
Learn more about algebraic expressions here:
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Answer:
5 FULL necklaces.
Step-by-step explanation:
85/15
About 5.667
0.667 of a necklace doesn't count
So just 5! :)
Answer:

Step-by-step explanation:

Subtract 57 from both sides:

Divide both sides by 4:

Given:
In an isosceles triangle LMN, LM=MN.

To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,




On further simplification, we get




The value of x is 13. Using this value, we get



Similarly,



And,


Therefore, the measure of angles are
.