Lets l to be lenght, w width, p perimeter and a area:
a=lw
6400 ft²=lw
2(l+w)=p
2(l+w)=400 ft
l+w= 200 ft
l=200ft-w
substitute it instead of l to lw=6400ft²
(200-w)w=6400
200w-w²=6400
w²-200w+6400=0
(w-160)(w-40)=0
w = 160ft
w = 40ft
l=200-w
l=200-160 = 40ft
l= 200-40 =160ft
<u>Part A</u>
x² + 5x + 4 = 0
x = <u>-(5) +/- √((5)² - 4(1)(4))</u>
2(1)
x = <u>-5 +/- √(25 - 16)</u>
2
x = <u>-5 +/- √(9)</u>
2
x = <u>-5 +/- 3</u>
2
x = <u>-5 + 3</u> U x = <u>-5 - 3</u>
2 2
x = <u>-2</u> x = -<u>8</u>
2 2
x = -1 x = -4
<u>Part B</u>
4x² - 12x + 5 = 0
x = <u>-(-12) +/- √((-12)² - 4(4)(5))</u>
2(4)
x = <u>12 +/- √(144 - 80)</u>
8
x = <u>12 +/- √(64)</u>
8
x = <u>12 +/- 8</u>
8
x = <u>3 +/- 2</u>
2
x = <u>3 + 2</u> U x = <u>3 - 2</u>
2 2
x = <u>5</u> x = <u>1</u>
2 2
x = 2.5 x = 0.5
<u>Part C</u>
2x² - 10x + 3 = 0
x = <u>-(-10) +/- √((-10)² - 4(2)(3))</u>
2(2)
x = <u>10 +/- √(100 - 24)</u>
4
x = <u>10 +/- √(76)</u>
4
x = <u>10 +/- 2√(19)</u>
4
x = <u>5 +/- √(19)</u>
2
x = 2.5 <u>+</u> 0.5√(19)
x = 2.5 + 0.5√(19) U x = 2.5 - 0.5√(19)
Answer:
The amount Pearl was charged in interest for billing cycle = $19.8
Step-by-step explanation:
Starting balance of Pearl for first 10 days of her 30 days billing cycle =$1120
Purchase made = $ 340
Total Balance after purchase made = $1120 + $340
= $1460
Payment made after 10 days = $580
Balance for last 10 days = $1460 - $580
= $880
Credit Card APR = 27% Annually
Amount charged as an interest for billing cycle = 880 × 2.25%
= 880 × 0.0225
= $19.8
Hence, The amount Pearl was charged in interest for billing cycle = $19.8
Answer:
Don't know the process but it yes
Step-by-step explanation:
Answer:
17.3
Step-by-step explanation:
sin(30)=0.5
0.5*20=100
20*20+x*x=100
x=17.3
