Answer:
All except complementary angle.
Step-by-step explanation:
Complementary angles equal 90 degrees.
The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart.
let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120
We want to find where y = 0, where they meet:
0 = -0.01x + 120 Add 0.01x to both sides
0.01x = 120 Multiply both sides by 100
x = 12,000
The stalagmite and stalactite will meet in 12,000 years
Answer:
(a) 8 balls
(b) 4 balls
Step-by-step explanation:
Let
Number of balls
For a box, the probability that there are N balls in it is:

For 2 boxes, it is:

From the question, we have:
Favorable outcome
To solve for N, we have:


Divide both sides by 2

Take log of both sides

Apply law of logarithm

Make N the subject


Approximate

Solving (b): Balls in one of the two boxes.
Here, we assume that each ball will have almost the same number of balls at a given instance;
Hence, we have:



<em>4 balls in each box</em>
Answer: 81. If you subtract 10% from the amount of 90, you get 81.
Answer:
70
Step-by-step explanation:
complementary angles are 2 angles that add up to 90, the first angle is already 20 so just subtract 90-20 to find other angle