X = 47
you subtract 133 from 180
Answer:
x = 87
Step-by-step explanation:
the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).
Then, we have that the ratio SR / SV is the same as RT / UV:
SR / SV = RT / UV = 1 / 2
RT * 2 = UV
2*(x - 37) = x + 13
2x - 74 = x + 13
x = 87
Answer:
Use the two point formula: y-y¹/x-x¹ = y²-y¹/x²-x¹ to find the equation of a line through two given points.
Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:

In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:

Then



So

(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So







The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So







5.34 years for the sample to decay to 85% of its original amount