(3x^3 - 5x^2 -4x + 4) / (x-2) = (3x-2)(x+1) when x ≠2
Answer:45
Step-by-step explanation:
Sin^-1= 5÷7
The surface area of triangular prism is 117.12 mm²
<u>Explanation:</u>
Base side, a = 9 mm
Base side, b = 6.6 mm
Base side, c = 5.2 mm
Height, h = 4 mm
Total surface area = ?
We know,
Surface area, A = 2 Ab ( a+b+c) h
Ab = √s(s-a) (s-b) (s-c)
s = a+b+c/2
Solving for A
A = ah + b h + ch + 1/2 √ -a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2 (b c)² - c⁴
A = 9.4 + 6.6 X 4 + 5.2 X 4 + 1//2 √ -9⁴ + 2(9 X 6.6)² + 2(9 X 5.2)² - (6.6)⁴ + 2 (6.6 X 5.2)² - (5.2)⁴
A = 117.12 mm²
Therefore, the surface area of triangular prism is 117.12 mm²
Answer:
nickel = 16
dimes = 32
quarters = 10
Step-by-step explanation:
Given that,
number of coins Zachery have in his piggy bank = 58
total money Zachery have in his piggy bank = $6.50
Suppose number of nickel = x
number of dimes = 2x
number of quarters = y
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
<h3>
Equation 1</h3>
x + 2x + y = 58
3x + y = 58
<h3>
Equation 2</h3>
x(0.05) + 2x(0.10) + y(0.25) = 6.50
0.05x + 0.2x + 0.25y = 6.50
0.25x + 0.25y = 6.50
y = 58 - 3x
<h3>
put value of y in equation 2</h3>
0.25x + 0.25(58 - 3x) = 6.50
0.25x + 14.5 - 0.75x = 6.50
-0.5x = 6.50 - 14.5
-0.5x = -8
x = 16
y = 58 - 3x
y = 58 -3(16)
y =10
number of nickel = x = 16
number of dimes = 2x = 32
number of quarters = y = 10
