Answer:
Step-by-step explanation:
= Half life of carbon = 5730 years
= Decay rate =
Duration of time passed is given by
The scroll is old.
Answer:
101.98 yards.
Step-by-step explanation:
Please refer to the diagram that I drew (sorry for the messiness; I do not own a stylus and so I was using my mouse to try to draw it).
Since the triangle is a right triangle, you can use SOH CAH TOA. In this case, you are trying to figure out the opposite length, but you are given the adjacent. So, we will use tangent to solve this (TOA = Tangent, Opposite over Adjacent).
The angle is 22.6 degrees, and the tangent of the angle is equivalent to the opposite length, x, divided by the adjacent length, 245 yards.
tan(22.6) = x / 245
x / 245 = tan(22.6)
x = tan(22.6) * 245
x = 0.4162598242 * 245
x = 101.9836569
So, you are about 101.98 yards from the cabin.
Hope this helps!
For all of these, let n = the unknown number.
25) "Five less than a number" becomes 5 - n
"At least" tells you your number is greater than or equal to - 2.
Put it all together.
5 - n ≥ - 2
- n ≥ - 2 - 5
- n ≥ - 7
Divide by - 1 to isolate the variable. This flips the operation.
n ≤ 7
26) "The difference between a number and 6" tells you to do n - 6
"no more than" means this is a less than or equal to sign.
n - 6 ≤ 5
n ≤ 5 + 6
n ≤ 11
27) "The sum of a number and 7" becomes n + 7
"more than" is a greater than sign
n + 7 > 1
n > 1 - 7
n > - 6
28) "The difference between a number and 10" becomes n - 10
Obvious one, "greater than" is... just that.
n - 10 > 9
n > 9 + 10
n > 19
29) "Four less than a number" is 4 - n
Another obvious one in "less than"
4 - n < 11
- n < 11 - 4
- n < 7
Divide by - 1 on both sides to isolate the variable
n > - 7
10 chocolate cakes because 25 divided by 5 = 5, 5 x 2 = 10 , 15 spongy cakes because 25 - 10 = 15