Answer:
Third Choice, 1774.67π cm³
Step-by-step explanation:
Volume=(4/3)πr³
=(4/3)π×11³
=(4/3)π×1331
=1774.67π cm³
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.
Answer:
cos ∠CBD = - 4√41 / 41
Step-by-step explanation:
AB = 4 ΔABC = (4 x AC) / 2 = 10
AC = 5
BC = √5² + 4² = √41
cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA
(cos 180° = - 1 sin 180° = 0 cos ∠CBA = 4 / √41 )
cos ∠CBD = (-1) x cos ∠CBA = - 4 / √41 = - 4√41 / 41