Answer:
15,840 feet.
Step-by-step explanation:
We have been given that Maureen walked 3 miles. We are asked to convert the distance walked by Maureen in feet.
Since we know that 1 mile equals 5,280 feet, so to convert our given distance we will multiply 3 by 5,280.
Therefore, Maureen walked 15,840 feet.
To find the answer we can break the figure into two parts: a rectangle and a semi circle.
The perimeter of the rectangle:
(10+4)×2
=28 ft
The perimeter of the semi circle:
perimeter of a circle: 2×兀×radius
(The radius: 4/2)
We divide the perimeter by two as it is a semi circle,which is half the circumferece perimeter of a circle.
[2(3.14)(4/2)] / 2
=6.28 ft
We can then add up the numbers to find the answer, and remember that 4 cm is overlapped:
28+6.28-4
=30.28ft
Therefore the answer is 30.28ft.
Hope it helps!
Answer:
18.85 inches.
Step-by-step explanation:
We have been given that the radius of a smaller circle 3 inch. We are asked to find the circumference of smaller circle.
We know that circumference of a circle is equal to 
, where r represents radius of circle.
Therefore, the circumference of smaller circle is approximately 18.85 inches.
Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
The new perimeter would be 60. because the width and the height are doubled.
