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]
3 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]3 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
10) Find the area of a circle that has the<br> circumference of 117 cm. Leave it as it.
garik1379 [7]

Step-by-step explanation:

Using the formulas

A

=

π

r

2

C

=

2

π

r

Solving for

A

A

=

C

2

4

π

=

117

2

4

·

π

≈

1089.33601

cm²

A

≈

1089.34

cm²

8 0
3 years ago
Which is the graph of the function f(x) = -√x?
Virty [35]

Answer:

Step-by-step explanation:

The last (fourth) graph is that of the parent function y = √x.  The negative sign in front of √x leads to reflection of this parent function graph in the x-axis.  Thus, the correct graph of f(x) = -√x is the first one.

7 0
3 years ago
Please help i need help solving this
Vaselesa [24]

Answer:

1.D 2.C 3.A 4.B

Step-by-step explanation:

hope this helped

6 0
1 year ago
A co-worker gave you $4.75 to buy her a cup of coffee.it covered 5/6 of the actual cost of the coffee.How much did the coffee co
Pie
The coffee cost is $3.95 
7 0
3 years ago
what statement require's proof before it's acceptable as a true statement? ...... A. defined terms B. postulate .C. undefined te
DaniilM [7]

Answer:

D. Theorem

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Foster’s answer to the question he wrote for Ranger was 7x + (–3), while Ranger’s answer was 7x – 3. They both checked their wor
    11·2 answers
  • How many yards in 72 Inches
    5·2 answers
  • You really want to earn an a in a class, but you still need to take one more test. suppose that your previous test scores are 85
    12·1 answer
  • 8 of 10
    11·1 answer
  • What is the formula for the perimeter of a semicircle ​
    10·1 answer
  • Find the distance between the points ( 4, 7) and (-1,2
    14·1 answer
  • - 2.2f + 0.55 f– 15 - 8=
    7·1 answer
  • There are 5 ways to drive from Town X to Town Y. There are 3 ways to drive from Town Y to Town Z. How many different ways are th
    12·1 answer
  • Please help i appreciate 1​
    7·1 answer
  • WORTH 10 POINTS PLEASE HELP!!!!!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!