Answer:
4m
Step-by-step explanation:
- Recall the formula for area of a circle for each calculation
- Calculate the area of the large field (r = 5m)
- Calculate the area of the small field (r = 3m)
- Find the difference in area
- Find the radius of the "difference" field using difference in area
The formula for area of a circle is A = πr².
"A" means area.
π is pi. <em>I will use the π button</em>, but some teachers ask to use 3.14.
"r" means radius.
Area of large field:
Substitute "r" for 5m in the formula.
A = πr²
A = π(5m)²
A = π25m²
A = 78.5398163397 m²
Area of small field:
Substitute "r" for 3m in the formula.
A = πr²
A = π(3m)²
A = π9m²
A = 28.2743338823 m²
Difference in areas:
Subtract the area of small field from the area of large field.
(78.5398163397 m²) - (28.2743338823 m²)
= 50.2654825 m²
Radius of "difference" field:
Since we are looking for radius, not area, rearrange the formula to isolate "r".
A = πr²
=
Divide both sides by π
= r² π cancels out on the right side
= √r² Square root both sides
= r ² and √ cancel out, leaving "r" isolated
r =
Variable on the left for standard formatting
Substitute "A" for the difference in area
r = 
r =
Divide by pi first
r =
Find the square root
r ≈ 
The radius of the field that has the area of the difference in the two fields is 4m.
In year 10, the table says the population is 25,000
But if we plugged x = 10 into the equation Lucy got, then,
y = 600x + 25000
y = 600(10) + 25000
y = 6000 + 25000
y = 31000
Lucy's equation says that the population in year x = 10 should be y = 31000 instead of 25000. So this is one way to show that there is an error. The output from the equation isn't matching what the table shows.
<span>To find the greatest perfect square that is a factor of 396, first we check what are the factors of 396
Factors of 396 are: 1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now we check which is the greatest perfect square in these.
396, 198, 132, 99, 66,44 are not perfect square,
so 36 is the largest perfect square from the factors of 396, 6 x 6 = 6</span>² = 36
There are 2 pints in a quart. Convert them both to the same measurement. Let's say you convert them both to pints. Multiply. Do 13 times 2. This equals 26. Now it is even, they are both in pints. 25 pints to 26 pints (or 13 quarts). 25 pints is less than 13 quarts. (25 pints < 13 quarts)