Answer:
Θ ≈ 58°
Step-by-step explanation:
using the Cosine Rule in the triangle
cosΘ = 
= 
= 
= 
, then
Θ = 
( ) ≈ 58° ( to the nearest degree )
Answer:
18.95%
Step-by-step explanation:
In this case what we must do is calculate the probability of eating a jelly treats first and then another jelly treats, being the final probability the multiplication of these events.
We know that there are 20 in total and that initially there are 9 jelly treats, so the first event is the probability:
9/20
And the second event, with one less in each, would be:
8/19
The final probability then:
9/20 * 8/19 = 0.1895
So the probability of this happening is 18.95%
Answer:
20 feet
Step-by-step explanation:
= 
Simplify 
= 
Every 1 second, a person will walk 2 feet.
= 
X = 20 feet
A geometric sequence is a sequence with a common ratio multiplied by previous term to give the next. Lets call x the common ratio, so we know that 4 was multiplied by x to give the second term, and so forth until it was multiplied again and again by x until the 16384 was reached which happens to be the 13th term, that means that 4x was multiplied by x 12 more times to give 16384, that is:
4x^12 = 16384
x^12 = 4096
x = 4096^-12
x = 4.48 x 10^-44
that is the common ratio
Answer:
Mikhail is 25 and Gabrielle is 15
Step-by-step explanation:
g = (m-10) and g+m = 40
We'll substitute that first equation into the second
(m-10) + m + 40
2m - 10 = 40
2m = 50
m = 25
