Answer:
9514 1404 393Answer: c = 6√2 d = 12Step-by-step explanation:The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence ...
Step-by-step explanation:
Answer:
![J = 370g](https://tex.z-dn.net/?f=J%20%3D%20370g)
Step-by-step explanation:
Given
Represent the weight of the Jar with J and the sugar with S
Initially, we have:
![J + S = 850g](https://tex.z-dn.net/?f=J%20%2B%20S%20%3D%20850g)
After 2/3 of sugar is removed we have:
![J + S -\frac{2}{3}S= 530g](https://tex.z-dn.net/?f=J%20%2B%20S%20-%5Cfrac%7B2%7D%7B3%7DS%3D%20530g)
Required
Determine the weight of the jar
--- (1)
--- (2)
Simplify (2)
![J + S -\frac{2S}{3}= 530g](https://tex.z-dn.net/?f=J%20%2B%20S%20-%5Cfrac%7B2S%7D%7B3%7D%3D%20530g)
Take LCM
![J + \frac{3S - 2S}{3}= 530g](https://tex.z-dn.net/?f=J%20%2B%20%5Cfrac%7B3S%20-%202S%7D%7B3%7D%3D%20530g)
![J + \frac{S}{3}= 530g](https://tex.z-dn.net/?f=J%20%2B%20%5Cfrac%7BS%7D%7B3%7D%3D%20530g)
Make S the subject in (1)
![J + S = 850g](https://tex.z-dn.net/?f=J%20%2B%20S%20%3D%20850g)
![S = 850g - J](https://tex.z-dn.net/?f=S%20%3D%20850g%20-%20J)
Substitute 850g - J for S in ![J + \frac{S}{3}= 530g](https://tex.z-dn.net/?f=J%20%2B%20%5Cfrac%7BS%7D%7B3%7D%3D%20530g)
![J + \frac{850g - J}{3}= 530g](https://tex.z-dn.net/?f=J%20%2B%20%5Cfrac%7B850g%20-%20J%7D%7B3%7D%3D%20530g)
Multiply through by 3
![3 * J + 3*\frac{850g - J}{3}= 530g * 3](https://tex.z-dn.net/?f=3%20%2A%20J%20%2B%203%2A%5Cfrac%7B850g%20-%20J%7D%7B3%7D%3D%20530g%20%2A%203)
![3J + 850g - J= 1590g](https://tex.z-dn.net/?f=3J%20%2B%20850g%20-%20J%3D%201590g)
Collect Like Terms
![3J - J= 1590g-850g](https://tex.z-dn.net/?f=3J%20%20-%20J%3D%201590g-850g)
![2J= 740g](https://tex.z-dn.net/?f=2J%3D%20740g)
Make J the subject
![J = \frac{1}{2} * 740g](https://tex.z-dn.net/?f=J%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20740g)
![J = 370g](https://tex.z-dn.net/?f=J%20%3D%20370g)
<em>The jar weighs 370g</em>
The inside of the watermelon will get over heated and make the outside to burst