Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
The student would have 18 dimes in the bank.. 54 coins. x+2x+3x=54
6x=54
18 dimes,
9 quarters
27 nickles.
Step-by-step explanation:
let width be x
length = 6+x
x times 6+x=135
2x+6=135
2x=135-6
129/2=x
64.5
Answer:
x = 18
Step-by-step explanation:
13)
Circumference (C) = 2π·r
11π = 2π·r
11/2 = r
******************************
Area (A) = π·r²
= π·(11/2)²
= 121π/4
≈ 94.985 in²
14)
diameter = 2r
42 = 2r
21 = r
*******************
Area (A) = π·r²
= π·(21)²
= 441π
≈ 1384.74 in²
***************************
$280/1384.74 in²
x = $0.20
Answer: about 20 cents per square inch
