Answer: aggregate or syndicate
Step-by-step explanation:
Answer:
![d=\sqrt{61}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B61%7D)
Step-by-step explanation:
P (-3, 2) Q (5, -1)
Substitute into the formula below
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Calculating the volume of cone cup:
![= \frac{1}{3}\pi r^2 h \\\\ = \frac{1}{3}\times 3.14 \times 4^2 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 16 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 176 \\\\ = 3.14 \times 58.66 \cong 184.31 cm^3](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%20%5C%5C%5C%5C%20%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%204%5E2%20%5Ctimes%2011%20%5C%5C%5C%5C%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%2016%20%5Ctimes%2011%20%5C%5C%5C%5C%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%20176%20%5C%5C%5C%5C%20%3D%20%203.14%20%5Ctimes%2058.66%20%5Ccong%20%20184.31%20cm%5E3)
When buying 5 packages (250 cones):
![\to 8 \ gal \times 3,785 \ \frac{cm^3}{gal} = 30,280\ cm^3 \\\\\to 30,280 \ cm^3 \times \frac{(1\ cone)}{(184.31 \ cm^3)} \cong \ 165 \ cones](https://tex.z-dn.net/?f=%5Cto%208%20%5C%20gal%20%5Ctimes%203%2C785%20%5C%20%5Cfrac%7Bcm%5E3%7D%7Bgal%7D%20%3D%2030%2C280%5C%20cm%5E3%20%5C%5C%5C%5C%5Cto%2030%2C280%20%5C%20cm%5E3%20%5Ctimes%20%5Cfrac%7B%281%5C%20cone%29%7D%7B%28184.31%20%5C%20cm%5E3%29%7D%20%5Ccong%20%5C%20165%20%5C%20cones)
Calculating the left over cones values:
![\to 250 - 165 = 85](https://tex.z-dn.net/?f=%5Cto%20250%20-%20165%20%3D%2085)
2x - y = 1
y = 2x -1
slope = 2
perpendicular slope = -1/2
y = mx + c
y = -1/2 + c
at point (3,2)
2 = -1/2 (3) + c
c = 2 + 3/2
c = 7/2
y = -1/2 x + 7/2
y + 1/2x = 7/2
2x - y = 1 ------------------- (1)
y + 1/2x = 7/2 -------------(2)
(1) + (2):
2x + 1/2x = 1 + 7/2
5/2 x = 9/2
5x = 9
x = 9/5 ---- sub into (1)
2x - y = 1
2(9/5) - y = 1
18/5 - y = 1
y = 18/5 - 1
y = 13/5
Ans: x = 9/5, y = 13/5