Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e.,
.
Using Pythagoras theorem, we get




On further simplification, we get



Therefore, the value of r is 9.
Answer:
56
Step-by-step explanation:
Answer: After 13 (12) hours, there would be 6,500 bacteria across the culture.
Step-by-step explanation:
The bacteria grew by 500 each 4 hours, so to know how much there would be 13 hours later:
Simple, add 500 bacteria to every 4 hours until you reach 13 hours. 4 = 5.5k, 8 = 6k, 12 = 6.5k. Now, 12 is closer to 13 than anything we would've gotten if we kept going.
And there's your answer.
B = {a, b, c, d}
C = {0, a, 2, b}
B ∪ C = {a, b, c, d, 0, 2}
<h3>Answer: E)</h3>
Everything from the set B and everything from the set C give to one set. Duplicated elements are written only once.