Find the value using the definition of sine.
sine (210 degrees ) = opp/hyp
Substitute the values into the definition.
sin (210 degrees ) = -1/2 / 1
Simplify the result.
Multiply the numerator by the reciprocal of the denominator.
-1/2 .1
Multiply -1 by 1 to get -1
-1/2
Answer:
w=46.25
Step-by-step explanation:
1.swap the sides of the equation 4w=185
2. you divide each side by 4 to get w by itself
Answer:
a) ∠CBF is also known as ∠FBC or B
b) The sides of ∠EBD are ray EB and ray BD
c) ∠ABC can be classified as a straight angle
d) An example of an obtuse angle is the angle DBE
e) Two congruent angles are ∠ABE and ∠CBF
f) A perpendicular bisector is the segment BD
Step-by-step explanation:
a) An angle can be named by three capital letters, a number, or the letter of the vertex. With regard to the question, an alternative name is angle B
b) The sides of an angle are rays. The sides of the angle are ray EB and ray BD
c) A straight angle is an angle that forms a straight line and has a magnitude of 180°
d) An obtuse angle is one that is greater than 90° but less than 180°
e) Congruent angles are angles that are equal. In the question, ∠ABE and ∠CBF are vertically opposite angles, and are therefore congruent
f) A perpendicular bisector is a line segment that is perpendicular to a given line, and also divides the line in two. Therefore, the line segment BD, which is perpendicular to the line ABC and also divides the line ABC into two equal parts (segment BA and segment BC) is the perpendicular bisector of the line ABC.
Answer:
A. AB
Step-by-step explanation:
Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.
What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.
m < A = 59°
m < C = 57°
m < C = 180 - (59+57) (sum of angles in a triangle)
m < C = 64°
The smallest angle out of the three angles is angle C = 57°.
The side opposite it, is side AB.
Side AB is the shortest side of ∆ABC.
Therefore, AB should be parallel to the ground.