The percent increase is 25 %
<em><u>Solution:</u></em>
Given that we have to find the percent incraese
From 24 teachers to 30
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
<em><u>The percent increase is given as:</u></em>
Here, initial value = 24 and final value = 30
<em><u>Substituting the values in above formula, we get</u></em>
Thus percent increase is 25 %
Answer:
x = 1
Step-by-step explanation:
3^2x - 9 (3^-2x) = 8
<=> 3^2x - 9/(3^2x) = 8
Given that 3^2x = y [1] (y>0), we have a new equation as follows:
y - 9× = 8
<=> y - 9/y = 8
<=> y(y - 9/y) = y×8
<=> y^2 - 9 = 8×y
<=> y^2 - 8y - 9 = 0
<=> (y^2 + y) - (9×y + 9) = 0
<=> y(y + 1) - 9(y + 1) = 0
<=> (y - 9)(y + 1) = 0
=> y = 9, or y = - 1
However, as 3^2x > 0, y>0.
Therefore, y = 9.
Replace y with 9 in [1], we have:
3^2x = 9 = 3^2
=> 2x = 2
=> x = 1
Answer:
15.6
Step-by-step explanation:
We can take this equilateral triangle and split it in half to form a 30-60-90 triangle. This will have base of 3, and height of 3. The area of this is
1/2 ( 3 )( 3 ), but the 1/2 cancels since we have 2 halves of the triangle, and so the area is 9.
is approx. 1.732, so multiplying this by 9, our answer is 15.6