To answer this item, we use dimensional analysis and conversion factor, 1 revolution is equal to 2π rad. Using the concept and the given,
n = (14.2 revolutions / 8 seconds)(2π rad/1 rev)
n = 11.15 rad/s
Thus, the angular velocity is equal to 11.15 rad/s.
Answer:
Skiing costs $30 per hour and Boating costs $51 per hour.
Step-by-step explanation:
Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.
<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>
<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>
<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.
Hence, y = 51
<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>
Hence, skiing costs $30 per hour and boating costs $51 per hour.
To find the hypotenuse of a right triangle, you must use a^2 + b^2 = c^2
* keep in mind the hypotenuse MUST be larger than the legs.
The Pythagorean Theorem comes from making 2 squares from the lengths of each leg (that is why it is a^2 and b^2). The hypotenuse must be equal to the area of the two squares created.
A) 125 * 10 = 1250 chinchillas in a year;
1250 * 2 = 2500 chinchillas in two years;
b) y = x + 433, where 433 = 933 - 500;
c) 933 + 433 = 1366 chinchillas they have <span>at the end of two years;</span>
First you need to find the common denominator. both 6 and 7 go in to 42 evenly
multiply 5/6 by 7 to get 35/42
multiply 2/7 by 6 to get 12/42
subtract 12 from 35 to get 23
23/42
