Answer:
Part 1) The area of the circle is 
Part 2) The circumference of the circle is 
Step-by-step explanation:
step 1
The area of a circle is equal to
we have
---> the radius is half the diameter
substitute
step 2
The circumference of a circle is equal to
we have
substitute
The correct answer here is A) 55. This is because a positive integer is defined as any number greater than 0 and has no decimals/ fractions in it. Therefore, you would add 1+2+3+4+5+6+7+8+9+10, yielding 55 as your answer.
Answer: the length of one edge of the square base of the second container is 6 inches.
Step-by-step explanation:
The formula for determining the volume of a rectangular container is expressed as
Volume = length × width × height
Considering the first container,
Length = 12 inches
Width = 8 inches
Height to which the water is filled is 6 inches.
Therefore, volume of water in the container is
12 × 8 × 6 = 576 inches³
Considering the second container,
Height of water = 16 inches
Let L represent the length of the square base. Then the area of the square base is L²
Volume of water would be 16L²
Since the water in the first container was poured into the second container, then
16L² = 576
L² = 576/16 = 36
L = √36
L = 6 inches
Answer:
parallel
Step-by-step explanation:
The answer is parallel because Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines
If two secants intersect from a point outside of the circle, then the product of the lengths of the secant and its external segment equals the product of the other secant and its external segment.
#1
5(x+5) = 6(4+6)
5x + 25 = 6 * 10
5x = 60 - 25
5x = 35
x = 7
#2
4(x+4) = 3(5+3)
4x + 16 = 3 * 8
4x = 24 - 16
4x = 8
x = 8/4
x = 2
