Answer:
Step-by-step explanation:
By sine rule


r=0.25 miles
l=2×

×0.25
=0.5 × 3.14
=1.57
120(minutes)÷2(miles)=60(minutes per mile)
60×1.57=94.2 minutes
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.
<span>so here is how you can answer this:
Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get,
Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values,
5000 =.1 * x + .15 * 12500.
Now it's a matter of finding for x. You should get,
x = $31,250.</span>