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.
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Answer:
The longer length is either 99, 33 or 11 inches
Step-by-step explanation:
Given
Required
The length of the longer side
Area of a rectangle is:
List out all possible products that give 99 [Assume the dimension are whole numbers]
List out the longer factors
<em>Hence, the longer length is either 99, 33 or 11 inches</em>
Answer:
27
Question:
Find so that
is a solution to
.
Step-by-step explanation:
So we are asked to replace with -14 and solve for
in the equation:
.
with
:
Add 42 on both sides:
Divide both sides by 2:
.
So the -coordinate that corresponding to
is
.
Verify that:
is a point satisfying
.
Replace with 27 and
with -14:
is true so our work must be right.