![\qquad\qquad\huge\underline{{\sf Answer}}♨](https://tex.z-dn.net/?f=%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D%E2%99%A8)
Let's use Unitary method ~
![\qquad \sf \dashrightarrow \:10 \:hr = 320 \: bagels](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A10%20%5C%3Ahr%20%3D%20320%20%5C%3A%20bagels)
![\qquad \sf \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%201%5C%3A%20hr%20%3D%20%28320%20%5Cdiv%2010%29%20%5C%3A%20bagels)
![\qquad \sf \dashrightarrow \:1 \: hr = 32 \: bagels](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A1%20%5C%3A%20hr%20%3D%2032%20%5C%3A%20bagels)
So, the rate per hour is 32 bagels ~
![\qquad \sf \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A15%20%20%5C%3A%20hr%20%3D%20%2815%20%5Ctimes%2032%29%20%5C%3A%20bagels)
![\qquad \sf \dashrightarrow \:15 \: hr = 480\: bagels](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A15%20%20%5C%3A%20hr%20%3D%20480%5C%3A%20bagels)
So, they can prepare 480 bagels in 15 hours
Answer:
![\huge\purple{ x^2 +(y+2)^2 = 4}](https://tex.z-dn.net/?f=%5Chuge%5Cpurple%7B%20x%5E2%20%2B%28y%2B2%29%5E2%20%3D%204%7D)
Step-by-step explanation:
Circle is centred at (0, -2)
-> h = 0 & k = - 2
radius of the circle (r) = y-coordinate of the center = - 2
Equation of circle in standard form is given as:
![(x-h)^2 +(y-k)^2 = r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%20%2B%28y-k%29%5E2%20%3D%20r%5E2)
Plugging the values of h, k and r in the above equation, we find:
![(x-0)^2 +[y-(-2)]^2 = (-2)^2](https://tex.z-dn.net/?f=%28x-0%29%5E2%20%2B%5By-%28-2%29%5D%5E2%20%3D%20%28-2%29%5E2)
![\implies\huge\orange{ x^2 +(y+2)^2 = 4}](https://tex.z-dn.net/?f=%5Cimplies%5Chuge%5Corange%7B%20x%5E2%20%2B%28y%2B2%29%5E2%20%3D%204%7D)
This is the required equation of circle.
Answer:
Yes
Step-by-step explanation:
A proportion is an equation with a ratio on each side. And when you reduce 6/8 to the lowest form, it is 3/4
A triangle has 3 sides, the total interior angels sum to 180 degrees.
A square has 4 sides, the total interior angels sum to 360 degrees.
A pentagon has 5 sides, the total interior angels sum to 540 degrees.
Do you see a trend?
Answer:
The (s) sum of interior angles equals the (n) number of sides, minus 2, times 180.
This is written as
s = (n - 2) * 180
If we put in 900 for s, we get
900 = (n - 2) * 180
5 = n - 2
n = 7
A polygon with 7 sides is called a Heptagon.