Answer:
3.81 inches
Step-by-step explanation:
πr² + 100 = π(r+3)²
divide by π and simplify:
r² + (100/π) = r² + 6r + 9
100/π = r² + 6r + 9
31.8309886184 - 9 = r² +6r
r² = 6r - 22.8309886184
0 = 6r - 22.8309886184
22.8309886184 = 6r
divide by 6:
3.80516476973 ≈ 3.81 inches
199•25%=49.75
49.75+199=248.75
248.75•7.5%=18.65625
18.65625+248.75=267.40625
therefore the answer is $248.41
Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ 
divide 0.35 on both sides
⇒ 
solve:
⇒ x = 80
Answer:
length and width = 40 and 10 ft.
Step-by-step explanation:
The perimeter of a rectangular toddler play area is 100 feet.
Perimeter = 2(length + width)
Let the width = w
The length is 10 feet more than 3 times the width. Length = 10+(3w)
now put the values
100 = 2(10+3w + w)
100 = 2w + 20 + 6w
100 = (2w + 6w) + 20
100 = 8w + 20
8w = 100 - 20
w =
w = 10 feet.
Now Length = 10+ (3w)
= 10+( 3 × 10)
= 10 + 30
= 40 feet
Therefore, length = 40 feet and width = 10 feet