Answer:
25% or 1/4 chance.
Step-by-step explanation:
The red makes up 5 out of the 20 marbles in the bag, which translates to 1/4 or 25% chance or being picked.
Good luck! Hope this helped!
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
The reciprocal of a number is the opposite of any known/unknown number
-x
four subtracted from this
-x-4
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge =
+ ![34^{0}](https://tex.z-dn.net/?f=34%5E%7B0%7D)
= ![93^{0}](https://tex.z-dn.net/?f=93%5E%7B0%7D)
Thus,
<CAB =
-
= ![31^{0}](https://tex.z-dn.net/?f=31%5E%7B0%7D)
<CBA =
-
= ![56^{0}](https://tex.z-dn.net/?f=56%5E%7B0%7D)
Sine rule states;
=
= ![\frac{c}{Sin C}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7BSin%20C%7D)
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
= ![\frac{c}{Sin C}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7BSin%20C%7D)
= ![\frac{242}{Sin 93^{0} }](https://tex.z-dn.net/?f=%5Cfrac%7B242%7D%7BSin%2093%5E%7B0%7D%20%7D)
= ![\frac{242}{0.9986}](https://tex.z-dn.net/?f=%5Cfrac%7B242%7D%7B0.9986%7D)
cross multiply,
b = ![\frac{0.8290*242}{0.9986}](https://tex.z-dn.net/?f=%5Cfrac%7B0.8290%2A242%7D%7B0.9986%7D)
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
= ![\frac{c}{Sin C}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7BSin%20C%7D)
= ![\frac{242}{Sin 93^{0} }](https://tex.z-dn.net/?f=%5Cfrac%7B242%7D%7BSin%2093%5E%7B0%7D%20%7D)
= ![\frac{242}{0.9986}](https://tex.z-dn.net/?f=%5Cfrac%7B242%7D%7B0.9986%7D)
cross multiply,
a = ![\frac{0.5150*242}{0.9986}](https://tex.z-dn.net/?f=%5Cfrac%7B0.5150%2A242%7D%7B0.9986%7D)
= 124.8073
Sarge is about 125 feet away from the fire.