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
rosijanka [135]
3 years ago
9

Solve a triangle when A=15° B=113° and b=7?

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

Let us draw a triangle ABC with A=15° ,B=113° and b=7.

Please see the attached image.

We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have

A+B+C=180\\
\\
15+113+C= 180\\
\\
C=62^{\circ}

Apply Sine rule in the triangle ABC, we get

\frac{a}{\sin 15}= \frac{7}{\sin 113}\\
\\
a=\frac{7 \sin 15}{\sin 113}\\
\\
a=1.97\\
\\
\text{Again apply sine rule, we get}\\
\\
\frac{c}{\sin 62}= \frac{7}{\sin 113}\\
\\
c=\frac{7 \sin 62}{\sin 113}\\
\\
c=6.71

Therefore, we have

a=1.97\\
c=6.71\\
C=62^{\circ}


You might be interested in
1.Amulya is x years now. Write expressions for her age 5 years ago?
ikadub [295]

Answer:

Step-by-step explanation:

1)    a = x - 5

a)   z = y + 5

b)  z = y - 3

c)   z = 6y

d)  z = 6y - 2

e) z = 3y + 5

5 0
2 years ago
Find the distance between the points (2,4) and (5,0). (PLEASE HELP!)
Inessa05 [86]

Answer:

5

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, 0)

d = \sqrt{(5-2)^2+(0-4)^2}

  = \sqrt{3^2+(-4)^2}

  = \sqrt{9+16} = \sqrt{25} = 5

5 0
3 years ago
Read 2 more answers
Suppose you own two stocks, A and B. In year 1, stock A earns a 2% return and stock B earns a 9% return. In year 2, stock A earn
Verizon [17]

Answer:

Both the stock have the same expected return.

Step-by-step explanation:

In year 1 the return earned by stocks A and B are:

Stock A = 2% return

Stock B = 9% return

In year 2 the return earned by stocks A and B are:

Stock A = 18% return

Stock B = 11% return

Compute the expected return for stock A as follows:

Expected\ return\ for\ A=\frac{2+18}{2}=10\%

Compute the expected return for stock B as follows:

Expected\ return\ for\ B=\frac{9+11}{2}=10\%

Thus, both the stock have the same expected return.

7 0
2 years ago
A washing machine is filling up with water at a constant rate. The rate is 3/4 of a gallon in 1/5of a minute. Don calculated the
mel-nik [20]
He found out 1/5 of 3/4 instead of multiplying by 5
4 0
2 years ago
Read 2 more answers
What is five and nine tenths in standard form
zheka24 [161]
I believe the answer is 5.9
4 0
3 years ago
Read 2 more answers
Other questions:
  • Multiply. use the gcf. 3/4 7/9
    10·1 answer
  • You estimate that there are 75 marbles in a jar. The actual amount is 82 marbles. Find the percent error
    12·1 answer
  • A rectangle's length is 6 units greater than its width. write an equation expressing the rectangle's area, a, as a function of w
    11·2 answers
  • Express your answer as a polynomial in standard form.
    14·1 answer
  • What will multiply to 16 and add to 1?
    10·1 answer
  • ,,,,,,,,,,,,,,,,,i want the answer
    11·2 answers
  • What is the sum of the solutions of the 2 equations below?
    7·1 answer
  • A person invests 3500 dollars in a bank. The bank pays 4.75% interest compounded
    14·1 answer
  • Help me with this please ;(
    8·2 answers
  • Divide $800 between kofi and kweku so that kofi gets three times what kweku gets
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!