Answer:
11.33 in. to the nearest hundredth.
Step-by-step explanation:
The perimeter of the shaded area = length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.
Calculate the length of the outer arc:
This equals (30 / 360) * perimeter of the largest circle
= 1/12 * 2 π * 8
= 4/3 π in.
The inner circle has a radius of 8 - 2 = 6 ins
so the length of the inner arc
= 1/12 * π * 2 * 6
= π in.
So the perimeter of the shaded region = 4 + 4/3 π + π
= 4 + 7π/3
= 11.33 in.
P = perimeter = 2L + 2W = 86 cm. Also, L = W + 4. Subst. W + 4 for L,
P = 2(W + 4) + 2W = 86 cm. Then 2W + 8 + 2W = 86 cm, and 4W = 78 cm.
Finally solving for W, W = (78 cm)/4, or 19.5 cm.
If W = 19.5 cm, then L = W + 4 cm = 19.5 cm + 4 cm = 23.5 cm
The rectangle's dimensions are 19.5 cm by 23.5 cm.
Answer:
Length = 4 inches
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
If x = 2
Perimeter = 8x - 4
= 8(2) - 4
= 16 - 4
= 12 inches
Width = 3x - 4
= 3(2) - 4
= 6 - 4
= 2 inches
Perimeter of a rectangle = 2(length + width)
12 = 2(length + 2)
12 = 2length + 4
12 - 4 = 2 length
8 = 2 length
Length = 8/2
Length = 4 inches
Answer:
The answer is .24, or 6/24
Step-by-step explanation:
Its easiest to convert the 2 answers into decimals and then solve.
Answer:
A
Step-by-step explanation:
The slope of a vertical line is undefined
The slope of a horizontal line is 0
