Answer:

Step-by-step explanation:
The basic idea is to factor each expression and cancel common factors from numerator and denominator.

Answer:
1) x ≅ 51.34°
2) y ≅ 38.66°
Step-by-step explanation:
In the right triangle given in the figure
∵ The triangle has a right angle
∴ Angles x and y are acute angles and the sum of their measures is 90°
→ By using the trigonometry function tan
∵ tan(x) = opposite side to x/adjacent side to x
∵ The opposite side to x = 10
∵ The adjacent side to x = 8
→ Substitute them in the rule above
∴ tan(x) =
= 
→ Use the inverse of tan to find x
∵ x =
(
)
∴ x = 51.34019175
∴ x ≅ 51.34°
∵ x + y = 90°
∴ 51.34 + y = 90
→ Subtract 51.34 from both sides
∴ y ≅ 38.66°
Step-by-step explanation:
2 adult shirts = 36.95 x 2 = 73.9
5 youth shirts = 23.95 × 5 = 119.75
Total = 119.75 + 73.9 = 193.65
Step-by-step explanation:
The exact question is as follows :
Given - The value of π up to 35 decimal places is given below:
3.14159265358979323846264338327950288
To find - Make a frequency distribution of the digits 0 to 9 after the decimal point.
Proof -
The Frequency Distribution Table for digits after decimal point in the value of Pi is :
Digits Frequency after decimal point
0 1
1 2
2 5
3 6
4 3
5 4
6 3
7 2
8 5
9 4
Total Digits = 35