Answer:
65°
Step-by-step explanation:
to find angles, use the inverse trig function (in this case, tan^-1)
tan^-1(5/12)
Answer: 
Step-by-step explanation:
Given
Initial mass of radium is 
It decays by half every 6 years i.e. 
For radioactive decay, sample at any time is given by

Insert the values

Thus, option (b) is correct.
Answer:
16.2, 18,2, 20.2, 22.2, 24.2
Step-by-step explanation:
Let

represent an even interger.
Remeber that even intergers have a distance of 2 from each other.
So next four consecutive intergers are



and

Part 2: Five consective intergers have a sum of 101, and qe must find the numbers so




<u>Given</u> -
- If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,
<u>To find</u> -
<u>Concept</u> -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
<u>Solution</u> -









m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
Answer:
units
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
you have that a = 16 and c = 23, so:
16^2 + b^2 = 23^2
256 + b^2 = 529
b^2 = 273
b = 