Answer:
20/29
Step-by-step explanation:
sin θ = 21/29
Use Pythagorean identity:
sin² θ + cos² θ = 1
(21/29)² + cos² θ = 1
441/841 + cos² θ = 1
cos² θ = 400/841
cos θ = ±20/29
Since 0° < θ < 90°, cos θ > 0. So cos θ = 20/29.
<u>Answer:</u>

<u>Explanation:</u>
let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number
i.e 4 multiplied by
is less than the difference of 40 and the number x i.e 40 - x
x is for sure less than 40 as
is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than
.
So, the inequality obtained can be written as 
Answers:
- Red = 1/3
- Yellow = 7/15
- Blue = 1/5
====================================================
Explanation:
Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.
- Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
- Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
- Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
There were<span> 471 </span>adult<span> and 851 </span><span>student tickets sold</span>