Answer:

Step-by-step explanation:
The diagram shows right triangle with hypotenuse of 15 units and angle of 30°. This angle is opposite to the leg with length of x units.
In the right triangle, the leg opposite to the 30° angle is half of the hypotenuse, so

We can use the Pythagorean Trigonometric Identity which says:

Since we need to find sin(t), we have to solve for it:

Let's plug in the given cos(t) value:

And solve sin(t):

Simplify further:

And it all simplifies down to:

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:

Hope this helps!
Answer:
The fraction of the students who failed to went partying = 
Step-by-step explanation:
Let total number of students = 100
No. of students partied are twice the no. of students who not partied.
⇒ No. of students partied = 2 × the no. of students who are not partied
No. of students partied before the exam = 20 % of total students
⇒ No. of students partied before the exam =
× 100
⇒ No. of students partied before the exam = 20
No. of students who not partied before the exam = 
Thus the fraction of the students who failed to went partying = 
Hey there!
Let's write this as a ratio/proportion.

The sum of this basic ratio is 4.25.
To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.
34/4.25=8
Now, we multiply our two ingredients by eight.
2.75(8)=22
1.5(8)=12
Note that these two add up to make 34 tablespoons.
Therefore, we have...
22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.
I hope this helps! Have a great day! :)
240,000 is a whole number. Now do the power of ten lol. Use a calculator. Remember don't do it all at once. The powers mean multiplying separate for example: 10×10 equals 100. I hundred times10 equals 1000. That is powered by three because it is multiplying 1030 different times which makes it the power. Simple math these days ha ha