Answer:
The answer is 54.18 meters.
Explanation:
Fk = -mg + N cos (20) = 0
Fr = N sin (20) ( frictional force)
Fr = m (a) where as a = v²÷r
By putting in the values..
N = mg÷ cos (20)
r = v²÷ g tan (20) (radius equation)
= 13.89²÷ 9.81(tan 20) (gravitational force = 9.81 m/s²)
r = 54.18 meters.
Lets say 'x' is the number.
so you do 6/100 times x= 20/100 times 6
and that equals 6/100x=6/5
x=20
good luck!
$298.72+ $425.69- $29.72- $135.47- $208.28- $5.00= $345.94.
There is $345.94 in the account at the end of the week.
Remember that when you make a deposit, you add money to your account and when you write checks, it means you take away the money from your account.
Hope this helps~
Answer:
x = 29/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x - (2x - 13) = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute negative: 8x - 2x + 13 = 42
- [Subtraction] Combine like terms: 6x + 13 = 42
- [Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
- [Division Property of Equality] Divide 6 on both sides: x = 29/6
<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>: 8(29/6) - [2(29/6) - 13] = 42
- Multiply: 116/3 - [29/3 - 13] = 42
- [Brackets] Subtract: 116/3 - -10/3 = 42
- Subtract: 42 = 42
Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
