Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6
The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).
When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.
3/4 ÷ 3/8
= 3/4 × 8/3
Simplifying gives us the final answer:
= 2
Let me know if you need any clarifications, thanks!
The answer is
sin 35 =5/x
0.57=5/x
X= 8.77
Answer:
34 - 31i
Step-by-step explanation:
first, distribute to get 40 - 16i - 15i + 6i^2. i^2 = -1 so 6(-1) is -6. simplify to get 34 -31i
