Answer:
Rational
Step-by-step explanation:
simplifies to
.
Therefore, it is rational.

<em>Brainliest Appreciated. </em>
The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.
Step-by-step explanation:
The given is,
Circumference of a circle is 56.52 inches.

Step:1
Formula for circumference of circle is,
........................(1)
Where, r - Radius of circle
From the given,
C = 56.52 inches
Equation (1) becomes,
56.52 = 2
(r)
56.52 = (2) (3.14) (r)
56.52 = 6.28 (r)
r = 9 inches
Step:2
Formula for area of circle,
............................(2)
Where, r - Radius of circle
From the given,
r = 9 inches
Equation (2) becomes,

= (3.14) (81)
= 254.34
Area of circle, A = 254.34 square inches
Result:
The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.
Let's call a child's ticket
and an adult's ticket
. From this, we can say:
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
.
Given these values, we can say:
,
since each adult ticket
costs 17,000 and each child's ticket
costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:


Let's solve:


- Find
on its own, which will allow us to substitute it into the first equation

- Substitute in
for 

- Apply the Distributive Property


- Subtract 1972000 from both sides of the equation and multiply both sides by -1

We have now found that 75 child's tickets were sold. Thus,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.
This is a perfect square parabola
f(x) = (2x + 5)^2
the graph will be a parabola opening upwards and will touch the x-axis at x = -2.5
Answer:
Step-by-step explanation:
Woah thats hard what year you in?