Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,

In triangle ABC,



It can be written as


Therefore, the measure of θ is 28.369.
<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>
Answer:
<em>1300 children attended the basketball game</em>
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
Answer:
28 (length' unit)²
Step-by-step explanation:
- the area of all A rectangle is 4*8 =32
- The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4
- the area of this shape equal to
the area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²
-2x + 6 = -2x + 6
this problem has infinite solutions :)