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
Elan Coil [88]
3 years ago
13

A=8, b=5, C=90 degree; Find c, A, and B This is for the law of sine and cosine

Mathematics
1 answer:
brilliants [131]3 years ago
6 0

Answer:

• c = √89 ≈ 9.434

• A = arcsin(8/√89) ≈ 57.995°

• B = arcsin(5/√89) ≈ 32.005°

Step-by-step explanation:

By the law of cosines, ...

c² = a² + b² -2ab·cos(C)

Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.

c = √(8² +5²) = √89 ≈ 9.434

Then by the law of sines (or the definition of the sine of an angle), ...

sin(A) = a/c·sin(C) = a/c = 8/√89

A = arcsin(8/√89) ≈ 57.995°

sin(B) = b/c·sin(C) = b/c = 5/√89

B = arcsin(5/√89) ≈ 32.005°

You might be interested in
What is the x-coordinate of the solution to the system of equations shown below?
Shkiper50 [21]
The x-coordinate is b. -5
5 0
3 years ago
Read 2 more answers
Simplify the following expression.
lana66690 [7]

Answer:

D. log(9)

Step-by-step explanation:

log(9x^{5})+5log(\frac{1}{x})

Remember: A log (x) = log(x^{A})

log(9x^{5})+log((\frac{1}{x})^{5})

Remember: log_{a} (x)+log_{a}(y)=log_{a}(xy)

log(9(\frac{1}{x})^{5}x^{5})

Simplify...

log(9)

Hope this helps! If you need steps for simplifying, just ask! :]

6 0
3 years ago
In triangle ABC, the measure of angle A is 90 ° . Angle B is congruent to angle C. What is the measure of angle B in degrees?
densk [106]

Answer: 45 degrees

Step-by-step explanation:

3 0
2 years ago
The sum of 6 times a number and 3 is 2
Harrizon [31]

Answer:

-1/6

Step-by-step explanation:

I put it into an equation. The periods are a result of autocorrect.

6x+3=2

-3. -3

________

6x= -1

--- ---

6. 6

X = -1/6

5 0
3 years ago
Alba worked 35.5 hours last week she earns $4.62 an hour how much money did she earn last week
alexgriva [62]
$4.62 * 35.5 hours = $164.01
8 0
3 years ago
Other questions:
  • What is the quotient <br> 13632 divided by 48
    7·1 answer
  • Random selection refers to
    7·1 answer
  • Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!!
    7·1 answer
  • Write the slope-intercept of the equation of the line through the given point of (5, 0) with the slope 0.
    14·2 answers
  • Cuál es el resultado de la siguiente adicion?<br>3/4 + (- 2/5) +(6/3) =​
    13·1 answer
  • The base of a triangle is 9cm correct to the nearest cm.
    13·1 answer
  • Marcus has a square shaped garden that has an area of 4(x^2-y^2) square feet. If the garden has four equal sections, what is the
    14·1 answer
  • 7^300 chia 7 dư bao nhiêu
    11·1 answer
  • 1) In triangle ABC, LC = 90, Write Pythagoras theorem for triangle.​
    5·1 answer
  • Plssss helppppppl:((((
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!