Given right triangle PQR, which represents the value of sin(P)?
2 answers:
Answer: The correct option is
(c)
Step-by-step explanation: We are given a right-angled triangle PQR, with m∠R = 90°, m∠Q = 60° and m∠P = 30°.
We are to select the ratio that represents sin P.
We know that sine of any acute angles is the ratio of the length of the perpendicular to the length of the hypotenuse.
For the acute angle P, we have
perpendicular = RQ and hypotenuse = PQ.
Therefore, we get
Thus, (c) is the correct option.
You might be interested in
Answer:
(c) III
Step-by-step explanation:
If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.
Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.
__
<h3>I. </h3>2x -6 -6x = 2 -4x . . . . eliminate parentheses
-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)
__
<h3>II.</h3>x +2 = 15x +10 +2x . . . . eliminate parentheses
x +2 = 17x +10 . . . . one solution (x=-1/2)
__
<h3>III.</h3>4 +6x = 6x +4 . . . . eliminate parentheses
6x +4 = 6x +4 . . . . infinite solutions
__
<h3>IV.</h3>6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)
<h2>Answer </h2>
The length of UC is 18
<h2>Explanation </h2>First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.
We can infer from our picture that JN is 82 + 105, so JN = 187
We can also infer that JU = JH + HU
JU = 22 + 96
JU = 118
We can also infer that CN = 51
Now we can fin the length of UC:
We can conclude that the length of UC is 18.