Answer:
5.4
Step-by-step explanation:
6÷4.5=1.33333333333
7.2÷1.33333333333=5.40000000001
The answer correct answer is a
Use the shell method. The volume is
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
<em>V</em> = 891<em>π</em>/2
Let's say you're renting a boat
Let h = number of hours you rent the boat
if it costs $46 per hour to rent a boat, then it will cost a total of 46*h or 46h dollars
Now let's say that you get a discount if you are a member. The membership fee is $86 leading to the discount hourly cost to be $25 per hour. If you rent for h hours, then you pay a total of 86+25h dollars
Writing 46h > 86+25h will represent cases when the nonmembership option is more expensive (and the membership option more cheaper). Solving for h will help determine when the membership option is cheaper.
Answer:
1.875\pi square units
Step-by-step explanation:
We know that area of a circle is pi r square.
The sector has a proportional area according to the angle it subtends at the centre.
Here we have a circle of radius 3 inches with central angle 75 degrees.
Total angle of a circle = 360
Area of the given sector = Area of yellow shaded= 