The shaded area = the arced area - the area of the triangle
The arced area = (120/360) * pi * 6^2 = 12pi
The height of the triangle is 6*sin60 = 3√3
So the area of the triangle is 1/2 * 6 * 3√3 = 9√3
So the shaded area = 12pi - 9√3
X = 47°
y = 90°
These are the angles, comment if you would like to know the explanation but these are the answers
The answer is 5 because it is consecutive 3 times and it is an odd number
Top triangle: if the know angle measures are 90 and 55 and there are a total of 180, 90 + 55 + a = 180. This means that angle a = 35°
Bottom triangle: if a is 35, the angle connected to it is 35 because they are vertical angles. The angles of this triangle are 35 + 120 + b = 180. Angle b = 25°
Answer:
78 nickels and 22 dimes
Step-by-step explanation:
Nickels = n, Dimes = d
<u>Number of coins = 100</u>
<u>Total sum in the piggy bank = $6.60 </u>
<u>Consider the first equation in the second:</u>
- 5(100 -d) + 10d = 660
- 500 - 5d + 10d = 660
- 5d = 110
- d = 110/5
- d = 22
- n = 100 - 22
- n = 78
<u>Answer:</u> nickels 78 and dimes 22
