Answer:
<h2>$205</h2>
Step-by-step explanation:
45 - 25 = 20
65 - 45 = 20
as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)
so ,we are in an arithmetic sequence case with :
Let’s label the sequence: Un
then
Un = U1 + (n-1)×r
= 25 + (n-1)×20
= 20n + 5
for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205
101 child tickets were sold that day
Answer:

Step-by-step explanation:
cosine x²= cos x²
Rule
Given that,

![=\int ^1_0[\int^3_0(\int^9_{3y} \frac{6cos x^2}{5\sqrt z}dz)dy]dz](https://tex.z-dn.net/?f=%3D%5Cint%20%5E1_0%5B%5Cint%5E3_0%28%5Cint%5E9_%7B3y%7D%20%5Cfrac%7B6cos%20x%5E2%7D%7B5%5Csqrt%20z%7Ddz%29dy%5Ddz)
![=\int^1_0[\int^3_0([\frac{6cos x^2 \times \sqrt z}{5\times \frac{1}{2}}]^9_{3y})dy]dx](https://tex.z-dn.net/?f=%3D%5Cint%5E1_0%5B%5Cint%5E3_0%28%5B%5Cfrac%7B6cos%20x%5E2%20%5Ctimes%20%5Csqrt%20z%7D%7B5%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E9_%7B3y%7D%29dy%5Ddx)
![=\int^1_0[\int^3_0([\frac{12cos x^2 \times( \sqrt 9-\sqrt{3y})}{5}])dy]dx](https://tex.z-dn.net/?f=%3D%5Cint%5E1_0%5B%5Cint%5E3_0%28%5B%5Cfrac%7B12cos%20x%5E2%20%5Ctimes%28%20%5Csqrt%209-%5Csqrt%7B3y%7D%29%7D%7B5%7D%5D%29dy%5Ddx)
![=\int^1_0[\int^3_0([\frac{12cos x^2 \times( 3-\sqrt{3y})}{5}])dy]dx](https://tex.z-dn.net/?f=%3D%5Cint%5E1_0%5B%5Cint%5E3_0%28%5B%5Cfrac%7B12cos%20x%5E2%20%5Ctimes%28%203-%5Csqrt%7B3y%7D%29%7D%7B5%7D%5D%29dy%5Ddx)
![=\int^1_0[\frac{12cos x^2 \times( 3y-\frac{\sqrt{3}y^\frac{3}{2}}{\frac{3}{2}})}{5}]^3_0dx](https://tex.z-dn.net/?f=%3D%5Cint%5E1_0%5B%5Cfrac%7B12cos%20x%5E2%20%5Ctimes%28%203y-%5Cfrac%7B%5Csqrt%7B3%7Dy%5E%5Cfrac%7B3%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%7D%7B5%7D%5D%5E3_0dx)
![=\int^1_0[\frac{12cos x^2 \times( 3.3-\frac{2\sqrt{3}.3^\frac{3}{2}}{3})}{5}]^3_0dx](https://tex.z-dn.net/?f=%3D%5Cint%5E1_0%5B%5Cfrac%7B12cos%20x%5E2%20%5Ctimes%28%203.3-%5Cfrac%7B2%5Csqrt%7B3%7D.3%5E%5Cfrac%7B3%7D%7B2%7D%7D%7B3%7D%29%7D%7B5%7D%5D%5E3_0dx)
![=\int^1_0[\frac{12cos x^2 \times( 9-6)}{5}]dx](https://tex.z-dn.net/?f=%3D%5Cint%5E1_0%5B%5Cfrac%7B12cos%20x%5E2%20%5Ctimes%28%209-6%29%7D%7B5%7D%5Ddx)


![=\frac{18}{5}[(x+\frac{sin2x}{2})]^1_0](https://tex.z-dn.net/?f=%3D%5Cfrac%7B18%7D%7B5%7D%5B%28x%2B%5Cfrac%7Bsin2x%7D%7B2%7D%29%5D%5E1_0)

Answer:
b=74 degrees c=1O6 degrees
Step-by-step explanation:
B is 74 because its across from the 74 degrees
C is 1O6 degrees because 18Odegrees-74degrees-1O6degress