First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
Do the values in the table represent a proportional relationship? HELP ASAP!!!!
x 1 2 3 4
y 2.5 5 7.5 10
Select from the drop-down menu to correctly complete the statement.
All of the y-values HAVE
a constant multiple of ☆☆2.5☆☆☆ to the corresponding x-values, so the relationship PROPORTIONAL
<h2>
Answer:</h2>
Option: C is the correct answer.
C.) x = −3.8, 3
<h2>
Step-by-step explanation:</h2>
The function f(x) is given by:

and the function g(x) is given by:

Now, we are asked to find the solution of the equation:

i.e. we have to find the value of x such that both the functions are equal i.e.

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

is given by:

Here we have:

Hence, the solution is given by:

<span>0=2x+3(3x-4)-(-x+14)
Follow BEDMAS
</span><span>0=2x+9x-12-(-x+14)
</span>0=2x+9x-12+x-14
Add like terms
0=11x-12+x-14
0=12x-12-14
0=12x-26
Flip the eqaution
12x-26=0
Move -26 across the equal sign
12x=0+26
12x=26
x=26/12
x=13/6
Hope this helps! A thanks/brainiest answer would be appreciated :)
Answer: Yes, he would have enough money. In total he would spend $23.10
Step-by-step explanation
Add 5% to the $24