Answer:
Step-by-step explanation:
<u>We know that:</u>
- Area of shaded region = Area of square - Area of circles
- Radius of circle = 3 in
- Area of circle = πr²
- Area of square = s²
<u>Solution:</u>
- Area of shaded region = Area of square - Area of circles
- => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
- => Area of shaded region = (144) - 4(22/7 x 9)
- => Area of shaded region = (144) - 4(198/7)
- => Area of shaded region = 144 - 792/7
- => Area of shaded region = 144 x 7/7 - 792/7
- => Area of shaded region = 1008/7 - 792/7
- => Area of shaded region = 1008/7 - 792/7
- => Area of shaded region = 216/7 in²
The longer piece of wire is 42.5
The shorter piece of wire is 37.5
37.5+42.5=80
37.5 matches the requirements because it is 5 smaller than 42.5 :)
Mark as BRAINLIEST please :)
A bc the opposite of zero is -0, but it cannot be negative so a
Answer:
<h2> 2.11¢</h2>
Step-by-step explanation:
We are expected to solve the weighted average price per kilowatt hour.
Step one:
The formula is
W =∑wX/∑w
W=weighted average
w=weights applied to x values
X=data values to be averaged
Step two:
given the total killowatt hour is 1800
the 1st = 500 at 3¢
2nd= 1000 at 2¢
3rd = (1800-1000+500) at 1¢ =(1800-1500) at 1¢ = (300) at 1¢
Step two:
Substituting into the expression we have
W =(500*3)+(1000*2)+(300*1)/500+1000+300
W=1500+2000+300/1800
W=3800/1800
W=2.11¢
The average price per kilowatt hour the utility paid to Mr. Vestas last month is 2.11¢
