Answer:
Step-by-step explanation:
Set this up as a proportion with the ratios being
If there is a 2:5 ratio of vinegar to oil, that ratio looks like this:
and if we are looking for how much oil, x, is needed for 20 ml of vinegar, then that ratio completes the proportion:
and cross multiply.
2x = 100 so
x = 50 ml of oil
Answer: 3.6 liters
Step-by-step explanation:
You know that:
- She uses 6 liters of fruit juice.
- She uses 0.6 as much sparkling water as fruit juice.
Therefore, let's call x the amount of fruit punch she made.
Keeping the above on mind, you can solve the problem by multiplying the 6 liter of fruit juice she uses by 0.6.
Therefore the result is:
Hi there! You have to remember these 6 basic Trigonometric Ratios which are:
Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.
What we have now are:
Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!
Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite
Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.
Thus, the hypotenuse is:
Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:
Questions can be asked through comment.
Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.
Hope this helps, and Happy Learning! :)
Answer:
The angle is in the second quadrant.
Step-by-step explanation:
The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as ,
.
Therefore, is equivalent to
.
Consider a unit circle centered at the origin. If the terminal side of angle intersects the unit circle at point
, then
For angle ,
In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.