Marco only got 2nd place
Step-by-step explanation:
First step is to find the circumference of the wheel (pi x diameter)
The radius is half of the diameter so 2 x 30 = 60
60 x pi (3.14) = 188.4 centimeters or 1.884 meters
Changing the kilometers into meters, and diving by 3 (to reduce the 3 hours into meter per hour) you'd get the total distance covered is 36,000 meters which equates to 12,000/hour or 200 meters/minute or 3.33 meters/second.
You take 3.33 and divide it by 1.884 which will give you 1.7675
Now you multiply it by the number of degrees of the wheel (which of course is 360) so 1.7675 x 360 = 636.3
Your answer is 636.3 degrees per second.
Answer:
x = 6
a = 18 ft
b = 36 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Factoring/Expanding
- Solving quadratics
<u>Trigonometry</u>
- Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
Given: Right triangle
a = 3x
b = 6x
c = 40
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: (3x)² + (6x)² = 40²
- Evaluate: 9x² + 36x² = 1600
- Combine like terms: 45x² = 1600
- Isolate <em>x </em>term: x² = 320/9
- Isolate <em>x</em>: x = (±8√5)/3
- Evaluate: x = ±5.96285
Since it is not a quadrant triangle, we must use the positive value for <em>x</em>.
<u>Step 3: Find legs</u>
Leg a
- Define: 3x
- Substitute: 3(5.96285)
- Multiply: 17.8885
- Round: 18
Leg b
- Define: 6x
- Substitute: 6(5.96285)
- Multiply: 35.7771
- Round: 36
Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $.
Then Albert's share
dollars.
Michael's share
dollars.
If Michael received $196 more than Albert, then the difference between their share is the $196.
dollars.
Clear the fraction by multiplying through with 14.
Divide both sides by 2 to get;