Answer:
0.133 mm
Step-by-step explanation:
From the question,
Density (D) = mass (m)/Volume (V).................... Equation 1
D = m/V
make V the subject of the equation
V = D×m............................ Equation 2
Given: D = 2.7 g/cm³, m = 2.568 g
Substitute into equation 2
V = 2.7(2.568)
V = 6.934 cm³.
But,
Thickness (n) = Volume/Area
n = V/A......................... Equation 3
Where A = Area of the square foil = 22.86² = 522.58 cm²
n = 6.934/522.58
n = 0.0133 cm.
n = 0.133 mm
Arc secant is not equal to cosine. It can be confusing, because the "-1" exponent (which is used to denote arc secant), could also mean the inverse function of secant. Yes, the inverse function of secant would be cosine. Therefore, the inverse of the inverse of cosine, is simply cosine itself.
Answer:
5q + 5q + 5
2q + 5 + 8q
5(2q + 1)
Step-by-step explanation:
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2(5x + 6) = 4(2x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 10x + 12 = 8x + 20
- Subtract 8x on both sides: 2x + 12 = 20
- Subtract 12 on both sides: 2x = 8
- Divide 2 on both sides: x = 4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 2(5(4) + 6) = 4(2(4) + 5)
- Multiply: 2(20 + 6) = 4(8 + 5)
- Add: 2(26) = 4(13)
- Multiply: 52 = 52
Here we see that 52 does indeed equal 52.
∴ x = 4 is a solution of the equation.