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
Answer:
5
Step-by-step explanation:
AC=AB+BC
so 16=x+1+x+7
which simplifies to 16=2x+8
subtract eight from both sides to get 8=2x
then divide by 2 to get that x=4
AB=x+1, which substitutes into 4+1=5
Dave can put 5 of each fruit into each box without exceeding 5 kilograms.
Step One
Factor f(x)
f(x) = (x + 5)(x - 2)
Step Two
The zeros occur when either (x + 5) = 0 or (x - 2) = 0
x + 5 = 0
x = -5
x - 2 =0
x = 2
Step 3
Record the zeros
(-5,0) or (2,0) <<<<<< answer.
Answer:
Using the table
Maria does 1/4 of the job in 1 hour since it takes her 4 hours to complete the job , she works x hours and completes x/4 of the task
Josie does 1/2 of the job in 1 hour since it takes her 2 hours to complete the job , she works x hours and completes x/2
x/4 + x/2 = 1 completed task
Multiply by 4
x/4 *4 + x/2*4 = 1*4
x+2x =4
3x=4
x = 4/3
x = 1 1/3 hours
