Answer:
m∠B = 119°
Step-by-step explanation:
- the measure of c and 112 are on the straight angle and they are both equal 180°
c = 180 - 112 = 68
∠c = 68°
- the sum of the interior angles of a triangle is 180°
- the measure of third angle = the sum of the interior angles - the sum of two angles
a = 180 - (51 + 68) = 61
∠a = 61°
- the measure of 61 and b are on the straight angle and they are both equal 180°
b = 180 - 61 = 119
∠b = 119°
also you can go on other way
- an exterior angle of a triangle is equal to the sum of the opposite interior angles
51 + 68 = 119
Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)
Step-by-step explanation:
The exponential decay model for Carbon-
14 is given by the followig formula:
(1)
Where:
is the final amount of Carbon-
14
is the initial amount of Carbon-
14
is the time elapsed (the value we want to find)
On the other hand, we are told the current amount of Carbon-14
is
, assuming the initial amount of Carbon-14
is
:
(2)
This means:
(2)
Now,finding
from (1):
(3)
Applying natural logarithm on both sides:
(4)
(5)
(6)
Finally:
This is the age of the paintings and the option that is nearest to this value is C. 13839 years
Answer:
3/400
Step-by-step explanation:
Let w represent earth's water
let f represent fresh water and let g represent ground water
![f = \frac{1}{40}w](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B1%7D%7B40%7Dw)
![g =\frac{3}{10}f = \frac{3}{10}(\frac{1}{40}w)\\ \\g = \frac{3}{400}w](https://tex.z-dn.net/?f=g%20%3D%5Cfrac%7B3%7D%7B10%7Df%20%3D%20%5Cfrac%7B3%7D%7B10%7D%28%5Cfrac%7B1%7D%7B40%7Dw%29%5C%5C%20%5C%5Cg%20%3D%20%5Cfrac%7B3%7D%7B400%7Dw)
Therefore, fraction of earth's water,w, that is ground water = 3/400
7:6
reverse the numbers when given a ratio similar to this one. 6x7=42 and 7x6=42 so x is 6 y is 7