The ideal radius Alan must control is
cm.
<h3>Define perimeter of circle.</h3>
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.
Given data -
Perimeter of circular plate = 10
cm
We know that perimeter of a circle is 2
r
Therefore 10
= 2
r
r = 5 cm
The given error Alan can make is +-1 cm.
Minimum radius is given by
2
r = 10
- 1
r = 
r = 5 - 
Maximum radius is given by
2
r = 10
+ 1
r = 
r = 5 + 
The ideal radius Alan must control is
cm.
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Anything greater than (1/5) that is positive
Ex. (1/4), (1/3), (1/2), 1, 2, 3, 4, 5
Answer:
1075.25
Step-by-step explanation:
subtract the 15 percent using freindly percents
Answer:
<h3>Y=-21/2x+5</h3>
Step-by-step explanation:
<u><em>SLOPE FORMULA:</em></u>
y₂-y₁/x₂-x₁=rise/run
<u><em>SLOPE-INTERCEPT FORM:</em></u>
y=mx+b
m represents the slope.
b represents the y-intercept.
y₂=(-16)
y₁=47
x₂=2
y₁=(-4)
Solve.

Furthermore, the y-intercept is 5.
y=-21/2x+5
The correct answer is y=-21/2x+5.
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8