The rope is 1 and 1/3 long,1 is the same as saying 3/3,
this means that the rope is 3/3 + 1/3 long,so it is 4/3 foot long,
you now want to get half of this number so that each person has an equal length of rope,so multiply the length of rope by a half,
4/3 x 1/2 = 4/6 , which if simplified = 2/3, this means that each friend gets 2/3 foot of rope.
You can draw this in a diagram by drawing the 1 foot of rope, and then dividing it up into 3 sections. Then add the 1/3 foot of rope into the drawing. It should then be easy to see that altogether there are 4 separate sections of rope and that if each friend has two sections then they will be sharing equal amounts, so consequently each friend has two of the thirds of rope, 2/3
Answer:
$13.10 represents the rate of change
Step-by-step explanation:
13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.
For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50
Answer:
![x^{2} +y^{2}=25](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%3D25)
Step-by-step explanation
The standard equation of a circle centered at origin is ![x^{2} +y^{2} =r^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3Dr%5E%7B2%7D)
r = radius of the circle
The circle is passing through the point (0,5)
∴ radius ![r=\sqrt{(0-0)^{2}+(5-0)^{2} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%280-0%29%5E%7B2%7D%2B%285-0%29%5E%7B2%7D%20%7D)
![r=\sqrt{0+25}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B0%2B25%7D)
![r=\sqrt{25}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B25%7D)
![r^{2}=25](https://tex.z-dn.net/?f=r%5E%7B2%7D%3D25)
∴ The equation of the circle is
![x^{2} +y^{2} = 25](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3D%2025)
Answer:
Step-by-step explanation:
the original price was the one she started at
Answer:
357.1573 (If you don't round)
Step-by-step explanation:
To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.