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
Problem Page Jessica's boat has a top speed of 6 miles per hour in still water. While traveling on a river at top speed, she wen
stealth61 [152]
I think it is 3:1 so tell me if it is wrong
6 0
3 years ago
Your answer<br> What is the greatest common factor of 12 and 24?<br> Your answer<br> 6
anastassius [24]

Answer:

yes it is 6

Step-by-step explanation:

Both are even numbers and caan be divided by 6 win 24 is divided by two I equals 12.

8 0
3 years ago
Solve 7x2(x + 1) = 6x + 14<br> Ox=-12<br> Ox = 12<br> Ox= -16<br> Ox = 16
Evgen [1.6K]

\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}

Use the distributive property to multiply −2 by x+1.

  • \large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}

Combine 7x and −2x to get 5x.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}

Subtract 6x on both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}

Combine 5x and −6x to get −x.

  • \large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}

Add 2 to both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}

Add 14 and 2 to get 16.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}

Multiply both sides by −1.

  • \large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}

<h2>{ Pisces04 }</h2>
3 0
1 year ago
Read 2 more answers
How to solve this equation algebraically: Y=2x+1<br> 3x+4y=26
AURORKA [14]
You can substitute what y is into the second equation, so:
3x + 4(2x + 1) = 26
3x + 8x + 4 = 26
11x + 4 = 26
- 4
11x = 22
÷ 11
x = 2

y = (2 × 2) + 1
y = 5 + 1
y = 5

So you get x as 2 and y as 5, I hope this helps!
3 0
3 years ago
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work
valina [46]

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

5 0
2 years ago
Other questions:
  • An electronics store offers to finance the purchase of any single item with zero interest for one year, with a down payment of $
    13·1 answer
  • 36a^2+24b^2=12( +2b^2)
    15·1 answer
  • What is the correct proportion for corresponding sides? (Last question)
    15·1 answer
  • G(x) = x2 - 2<br> h(x) = 3x + 5<br> Find (g- h)(x)
    5·1 answer
  • Find the equation of the sphere if one of its diameters has endpoints (-8, -3, -10) and (-6, 1, -4) which has been normalized so
    10·1 answer
  • What is the answer to this equation<br> PLEASE HELP<br><br> 2-9=?
    7·1 answer
  • A batch of 484 containers for frozen orange juice contains 7 that are defective. Two are selected, at random, without replacemen
    13·1 answer
  • What is the least common multiple of 5 &amp; 6?
    12·2 answers
  • Find the Area of the Parallelogram.
    14·1 answer
  • Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!