<h3><u>Question:</u></h3>
The perimeter of a rectangle is 34 units. Its width W is 6.5 units.
Write an equation to represent the perimeter in terms of the length L, and find the value of L
<h3><u>Answer:</u></h3>
The length of rectangle is 10.5 units
<h3><u>
Solution:</u></h3>
Given that,
Perimeter of rectangle = 34 units
Width of rectangle = 6.5 units
Let "L" be the length of rectangle
<em><u>The perimeter of rectangle is given by formula:</u></em>
Perimeter = 2(length + width)
<em><u>Substituting the values we get,</u></em>
![34 = 2(L + 6.5)](https://tex.z-dn.net/?f=34%20%3D%202%28L%20%2B%206.5%29)
Thus the equation is found
<em><u>Solve for "L"</u></em>
![L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5](https://tex.z-dn.net/?f=L%20%2B%206.5%20%3D%20%5Cfrac%7B34%7D%7B2%7D%5C%5C%5C%5CL%20%2B%206.5%20%3D%2017%5C%5C%5C%5CL%20%3D%2017%20-%206.5%5C%5C%5C%5CL%20%3D10.5)
Thus length of rectangle is 10.5 units
Answer:
19.2 mph
Step-by-step explanation:
just trust me
48 divided by 3 = 16
16 ounces of trail mix altogether in one bag.
There were only 5 ounces of raisins so 16 - 5 = 11. There are 11 ounces of almonds in each bag of trail mix.
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
![V = \frac{\pi r^{2}h}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cpi%20r%5E%7B2%7Dh%7D%7B3%7D)
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
![V_{sk} = \frac{\pi r^{2}h}{3}](https://tex.z-dn.net/?f=V_%7Bsk%7D%20%3D%20%5Cfrac%7B%5Cpi%20r%5E%7B2%7Dh%7D%7B3%7D)
Sharing size:
radius 3r, height h. So
![V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h](https://tex.z-dn.net/?f=V_%7Bsh%7D%20%3D%20%5Cfrac%7B%5Cpi%20%283r%29%5E%7B2%7Dh%7D%7B3%7D%20%3D%20%5Cfrac%7B9%5Cpi%20r%5E%7B2%7Dh%7D%7B3%7D%20%3D%203%5Cpi%20r%5E%7B2%7Dh)
About how many times more popcorn does the sharing cone hold than the skinny cone?
![r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7BV_%7Bsh%7D%7D%7BV_%7Bsk%7D%7D%20%3D%20%5Cfrac%7B3%5Cpi%20r%5E%7B2%7Dh%7D%7B%5Cfrac%7B%5Cpi%20r%5E%7B2%7Dh%7D%7B3%7D%7D%20%3D%20%5Cfrac%7B3%2A3%5Cpi%20r%5E%7B2%7Dh%7D%7B%5Cpi%20r%5E%7B2%7Dh%7D%20%3D%209)
The sharing cone holds about 9 times more popcorn than the skinny cone.