Hello! When dividing fractions, you multiply by the reciprocal of the second fraction. So 2/3 divided by 1/2 would be 2/3 times 2.
As you can see, the first fraction would be the same. Therefore, a will be 4. 5 and 6 will swap, so b will be 6 and c will be 5.
Therefore, our answer is D) a=4, b=6, c=5
I hope this helps!
Sure, that's what solving triangles is. Trigonometry has a short menu. Basically we choose between three formulas: Law of Sines, Law of Cosines, Sum of Triangle Angles
The Law of Sines has two sides and two opposite angles; given any three we can solve for the fourth.
The Law of Cosines has three sides and one angle; again given any three we solve for the remaining one.
The Sum of Triangle Angles says all three angles add to 180 degrees, so given two we can find the third.
Here we have all the angles and one side, that's Law of Sines to get the remaining sides.
Answer:
∠ 4 = 80°
Step-by-step explanation:
∠ 5 and 100° are vertical angles and are congruent , so
∠ 5 = 100°
∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is
∠ 4 + ∠ 5 = 180°
∠ 4 + 100° = 180° ( subtract 100° from both sides )
∠ 4 = 80°
Answer:
0.157 is the proportion of students who smoke.
Step-by-step explanation:
We are given the following in the question:
Number of students who smoke = 58
Number of students who don't smoke = 311
Total number of students surveyed =
Number of students who smoke + Number of students who don't smoke
Proportion of students who smoke =
Thus, 0.157 is the proportion of students who smoke.