So, basically what they are asking for is the circumference (which is like the perimeter) of the inner and outer circles.
Circumference is: C = 2<span>πr
The radius of the two circles are given so all you need to do is plug it in.
Circumference of the bigger circle (outer tire) is 157ft. Circumference of the smaller circle (inner tire) is 132ft.
The exact answer is 157.07-131.88 = 25.19ft </span>≈ 25ft<span>
</span>
Answer:
Either 
or 
.
Step-by-step explanation:
.
Hence, there are two possibilities to consider:
- Either
, - Or
.
If 
, then 
.
Substitute into the original equation: 
. Solve for 
: .
Important: verify that the solution meet the assumption . Indeed, 
and is indeed non-negative. Hence, the solution 
is valid.
On the other hand, if , then 
.
Substitute into the original equation: 
. Solve for : .
Similarly, verify that the solution 
satisfies the current assumption that . Indeed, this assumption is met, and is also a valid solution.
I believe the answer is A.
hope i'm accurate and hope this helped!
Answer:
x is equal to 55 degrees.
Step-by-step explanation:
In order to find this, we must first realize that the angle next to 160 is equal to 20 degrees. This is because they come together to make a straight line, which is equal to 180 degrees.
Now knowing this, we can find the two congruent angles at the top. Since they form one angle of a large triangle along with the right angle and 20 degrees, we know they combine to be worth 70 degrees. Since they are even, we know each is 35 degrees.
For the final step, we know that the 35 degree angle and 90 degree angle form a triangle with x. Knowing these all add up to 180, we can solve for x.
35 + 90 + x = 180
125 + x = 180
x = 55
Lets x = number adult tickets sold
3x = number student tickets sold
Now you have:
x +3x = 500
4x = 500
x =500/4 = 125
Answer: 125 adults tickets were sold.
