Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = 
= 
= 
, then
∠ A = 
( ) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = 
≈ 10.6 ( to the nearest tenth )
Answer:
£72000
Step-by-step explanation:
According to the Question,
- Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in total
Thus, 5 ⇒ 9000 People
So, 4 ⇒ 7200 People(Men)
1 ⇒ 1800 People(Women)
- And, each ticket costs £10
Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.
Given ,
Hockey team wants to sell 500$ worth of tickets
Cost of each ticket = $10
To meet its goal ,
Number of tickets to be sold = total cost/cost of one ticket
=> Number of tickets to be sold = 500/10 = 50 tickets .
A. Both triangles equal 50 and 10x5 is 50. Therefore, y=5.
