1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Initially you invested $200k
after 30 years, the total money you will have given that you earn 12% per year would be calculated like this
$200000(1+(12/100))^30
= $5991984.40
answer is A
Answer:
Step-by-step explanation:
<A = 5x + 34
and
<B= 2x +76
Since <A and <B are equal
then
5x + 34=2x +76
5x - 2x = 76 - 34
3x = 42
x = 42/3
x = 14 degrees
Now, <A = 5x + 34
<A = 5(14) + 34
< A = 104 degrees
Also,
< B = 104 degrees
Answer:
The probability that a randomly selected student didn’t take economics but did take statistics is 13%.
Step-by-step explanation:
Let the event that a student offers Economics be E.
The event that a student does NOT offer Economics is E'.
Let the event that a student offers Statistics be S.
The event that a student does NOT offer Statistics be S'.
P(E) = 13.5% = 0.135
P(S) = 24.7% = 0.247
P(E n S) = 11.7% = 0.117
Find the probability that a randomly selected student didn’t take economics but did take statistics
This probability = P(E' n S)
Since E and E' are mutually exclusive events,
P(S) = P(E' n S) + P(E n S)
P(E' n S) = P(S) - P(E n S)
P(E' n S) = 0.247 - 0.117 = 0.13 = 13%
Hope this Helps!!!
5572
^ This is the thousands place
If the number after it is 5 or more, we round up, if it's 4 or less we round down.
It's 5 so we round up to 6000
