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
Umnica [9.8K]
2 years ago
7

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

and round your answers to the nearest tenth. ∠A = 82.2°,∠C = 62.8°, c = 17.1 ∠A = 82.2°, ∠C = 62.8°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 17.1
Mathematics
1 answer:
Alexxx [7]2 years ago
3 0

Answer:

(A)∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

In Triangle ABC

∠B=35°

a=19

b=11

Using Law of SInes

\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ

Now:

\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ

Using Law of Sines

\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1

Therefore:

∠A = 82.2°,∠C = 62.8°, c = 17.1

The correct option is A.

You might be interested in
How can 38/6 be expressed as a decimal?
seraphim [82]
38/6 = 19/3
divide 19 by 3 :-

= 6.333....

The 3 is recurring
8 0
3 years ago
Please help! Especially with the steps!
wolverine [178]

Answer:a)680cu.ft

b)180cu.ft

Hope this helped you...

Step-by-step explanation:


8 0
3 years ago
Find q. Write your answer in simplest radical form.
yawa3891 [41]

Answer:

q=90 units.

Step-by-step explanation:

5 0
2 years ago
PLZ HELP!!!!!!!!!!!!
Nezavi [6.7K]

Answer:

1. 0.5

2. 0.25

3.  0.33333...

4.  0.2

5.  0.75

6. 0.666...

7. 0.4

8. 0.375

9. 0.444...

10. 0.28571428571429

Step-by-step explanation:

6 0
2 years ago
Z is the intersection of the triangles ______
Alja [10]

Answer:

Circumcenter of a triangle is formed by joining the perpendicular bisectors of three sides of triangle.

As we draw perpendicular bisectors of three sides, they will intersect at one point(say O) which lies inside the circle.

From that point of intersection, draw a circle touching each of the vertex of a triangle and we get a circumcircle. And O becomes centre of the circle.

Hence, circumcenter lies inside the triangle.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Erica has a 18% discount coupon for an electronics store.she sees a new television that she wants to buy. After the 18% discount
    11·1 answer
  • I need help in middle school work !
    9·2 answers
  • Steve was multiplying 45.9 by 0.1. Which statement is true about the product? A. It will be less than 45.9. B. It will be equal
    14·2 answers
  • Which estimate is most reasonable?
    9·2 answers
  • Express the area of the entire rectangle
    14·1 answer
  • 12+40x56-56= pls help me
    8·1 answer
  • Jeff typed a 5-page term paper with 600 words per page. He typed an average of 40 words per minute. If he started typing at 8:15
    12·2 answers
  • What is the value of X in the equation below 150=3/5x
    8·1 answer
  • Is it more difficult to walk up the hill or ramp?
    12·2 answers
  • Which of the following are true statements about the expression 5 + (-5)?​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!