Answer: 8 students have brown eyes
Step-by-step explanation:
Unit rate: 5 % = 1 student.
5 x 10 = 50%. 10 students have blue eyes.
5 x 8 = 40%. 8 students have brown eyes.
In conclusion, 8 students have brown eyes.
Hope this helps!
3. 3.1, 3 1/4, 3 3/10
4. 5.5 ft, 70 inches (5.8 ft), 2 yards (6 ft)
The interior angles of a triangle need to be equal to 180°, so to solve this you need to figure out how many degrees you need to get 180°.
46 + 61 = 107
180 - 107 = 73
The measure of the third angle is B. 73°.
Because the cosine and sine must be negative when evaluated in theta, the angle lies on the third quadrant.
<h3>
In which quadrant is the endpoint of the segment that defines the angle?</h3>
We know that if:
- cos(θ) > 0, then we are on the first or fourth quadrant
- sin(θ) > 0, then we are on first or second quadrant.
Here we know that:
sec(θ) < 0
And we know that:
sec(θ) = 1/cos(θ)
Then we have cos(θ) < 0
We also have that:
sec(θ)*csc(θ) > 0
Because sec(θ) < 0, we must have that csc(θ) < 0.
Remember: csc(θ) = 1/sen(θ)
Then sen(θ) < 0.
Then we have the two conditions:
sen(θ) < 0
cos(θ) < 0
- The cosine is negative on the third and second quadrants.
- The sine is negative on the third and fourth quadrants.
The only quadrant where both are negative is the third quadrant, so that is the correct option.
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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