Answer: 8 pi
Step-by-step explanation: So we know that area of a circle is pi times r^2 so if we reverse that formula it would be square root of 16 pi which would be 4 pi and divide by pi so the radius is 4. And we know that the formula for circumference is 2 times pi times r, so 2 times 4 times pi is 8 pi. 8 pi is the cIrcumference! :)
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
If 1/6 of the bags of pet food are cat food, then the other 5/6 is other pet food.
Since there are 4 bags that make up 1/6 of the food, multiplying 4 by 6 should get the answer. 4 x 6 = 24
