1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firlakuza [10]
2 years ago
9

Determine the values of the unlabeled parts of the triangle.

Mathematics
1 answer:
____ [38]2 years ago
4 0

Answer:

∠Q = 63.4º, PQ = 2, QO = 4.47

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.

Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).

90 + 26.6 + ∠Q = 180

∠Q + 116.6 = 180

∠Q = 180 - 116

∠Q = 63.4°

We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:

\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ  :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47

You might be interested in
The coordinates of the vertices of a triangle are (−3,2), (0,−3), and (−4,−2).
sergeinik [125]
The perimeter of the triangle, rounded to the nearest tenth, is 8.5 units.
6 0
3 years ago
YOU guys can put A. B. C. or D.​
My name is Ann [436]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Find the circumference of a circle if the radius is 2 inches.
Gnom [1K]

Answer:

12.566368 units

Step-by-step explanation:

2(pi)r = C

2(pi)(2) = C

4(pi) = C

4(3.141592) = C

12.566368 = C

4 0
3 years ago
Read 2 more answers
Evaluate the expression for x = 5, y = 3, and z=1/4 .
Helga [31]

Answer:

22

Step-by-step explanation:

5(5) - 6(3) + 20(1/4)4(3)(1/4)

25 - 18 + 5*12*0.25

25 - 18 + 60*0.25

25 - 18 + 15

7 + 15

22

4 0
2 years ago
Read 2 more answers
If you change this expression to a fraction, 7.25 will be : 20/7.25.
Amanda [17]

Answer: D The denominator

Step-by-step explanation: The denominator is always the bottom of your fraction.

3 0
3 years ago
Other questions:
  • What is 2 square root 45
    10·1 answer
  • Select each type of line of symmetry that the following figure has, if any.
    10·2 answers
  • Suppose a pack of candy bars has 4 bars. Each bar weighs 3.37 ounces. How much does the pack weigh?
    7·1 answer
  • Figure A and Figure B are similar with a ratio of similarity of 1/8, and the area of figure A is 13 units, what is the area of f
    11·1 answer
  • Find the value of x . round the nearest hundredth . <br><br>A.12.37<br>B.7.51<br>C.10.63<br>D.9.79
    13·1 answer
  • You are helping Folsom's city manager adjust traffic patterns for the new residents south of Hwy 50. A traffic light changes eve
    6·1 answer
  • For the following problem, assume that all given angles are in simplest form, so that if A is in QIV you may assume that 270° &l
    13·1 answer
  • PLS HELP ME, I NEED TO ANSWER THIS IN 15 MINUTES!!!
    8·2 answers
  • Two lines, a and b, are represented by the equations given below:
    15·1 answer
  • -5.5x0.021 i need help someone tell me how to anwser it please step by step
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!