Answer:
Part 1) Helen will need 38 feet of fencing
Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) The approximate distance around half of the circle is 11 feet
Step-by-step explanation:
Part 1) How much fencing will Helen need?
Find out the perimeter
we know that
The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle
so

we have

substitute


therefore
Helen will need 38 feet of fencing
Part 2) What is the perimeter around the three sides of the rectangular section of the garden?

we have

substitute


therefore
The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) What is the approximate distance around half of the circle?
Find the circumference of semicircle

we have

substitute


therefore
The approximate distance around half of the circle is 11 feet
Answer:
Variant A
Step-by-step explanation:
1)y= - 3x+1
2)y+5= - 3(x-2)
y+5= - 3x+6
y= -3x+1
They are equal
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and

Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
Answer:
8
Step-by-step explanation:
8 plus 9 plus 10 equals 27. so 8 is the smallest.