We have a fraction with the unknown in the denominator, review how to treat unknowns in the denominator as a refresher for this exercise:
<span>(2/3) - (1/x + 6) = 2
</span>(2/3) - (1 + 6x)/x = <span>2
</span>(2/3) - 2 = (1 + 6x)/x
2/3 - 6/3 = (1 + <span>6x)/x
-4/3 = </span>(1 + <span>6x)/x
-4x = 3</span>(1 + <span>6x)
</span><span>-4x = 3 + 18x
</span>22x = -3
x = -3/22
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Let
s------> the length of the third side
therefore
<u>The answer part a) is</u>
we know that
the perimeter of a triangle is the sum of the length sides
In this problem
<u>For 
</u>
the perimeter is equal to
<u>For 
</u>
the perimeter is equal to
so
therefore
<u>the answer part b) is</u>
Answer:
D
Step-by-step explanation:
As you can observe from the pattern, the numerator gets multiplied by 4 every increase in the sequence.
So , clearly, the 5th term will be = 
and the 6th term will be = 
Therefore , D will be the answer.
Answer:
The diameter by Pi or The radius multiplied by 2 time Pi
Step-by-step explanation:
This is because this is how you get the circumference.
For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years
Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
</span>
