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
igomit [66]
2 years ago
12

Use the Law of Sines to solve the triangle. Round your answers to two decimal places.

Mathematics
1 answer:
mario62 [17]2 years ago
8 0

Answer:

Step-by-step explanation:

The Law of Sines is

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

Filling in what we are given:

\frac{sin(110.8)}{25.3}=\frac{sin(18.2)}{c}

Cross multiply to get

csin(110.8)=25.3sin(18.2) and divide to solve for side c:

c=\frac{25.3sin(18.2)}{sin(110.8)} which gives you that

c = 8.45

We know that angle B has to be the difference between 180  and angle A and angle C, so

angle B = 51

Now we can solve for side b:

\frac{sin(110.8)}{25.3}=\frac{sin(51)}{b} and

b=\frac{25.3sin(51)}{sin(110.8)} and

b = 21.03

You might be interested in
P (6,6) y=2/3x
matrenka [14]

Answer:

y = -\frac{3}{2}x+15

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

y = \frac{2}{3}x

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

y = \frac{2}{3}x

Now, we compare the given equation by standard form y = mx +c

So, slope of the line m_{1} = \frac{2}{3}, and

y-intercept c=0

We know that the slope of the perpendicular line m_{1}\times m_{2}  = -1

m_{2}=-\frac{1}{m_{1}}

m_{2}=-\frac{1}{\frac{2}{3} }

m_{2}=-\frac{3}{2}

So, the slope of the perpendicular line m_{2}=-\frac{3}{2}

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

y=mx+c

Substitute point P(x_{1}, y_{1})=P(6, 6) and m = m_{2}=-\frac{3}{2}

6=-\frac{3}{2}\times 6 +c

6=-3\times 3 +c

c=6+9

c=15

So, the y-intercept of the perpendicular line c=15

Using point slope formula.

y=mx+c

Substitute m = m_{2}=-\frac{3}{2} and c=15 in above equation.

y = -\frac{3}{2}x+15

Therefore: the equation of the perpendicular line y = -\frac{3}{2}x+15

8 0
3 years ago
Last week Bill made a purchase of $56.78 before tax. This week, the same items on sale would have cost him $41.90 before tax. If
olga2289 [7]
I think $43.57 Bc 41.90 times .04 is 16.76 then move the decimal, and add 41.90+1.67=43.57
4 0
2 years ago
Read 2 more answers
What is the prime factorization of 135?
Brums [2.3K]

135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

3 0
2 years ago
Jeremiah scored 28 points in yesterday's
skad [1K]

Answer:

There you go , happy to help

4 0
2 years ago
Read 2 more answers
"John spent $30 on six toy cars. How much did each toy car cost? Write a one step equation. Solve"
Alika [10]
John spent 30 on six cars 5 times 6 = 30
3 0
3 years ago
Read 2 more answers
Other questions:
  • Is p=7 a solution of the equation 4p - 5 =16​
    13·2 answers
  • Solve each system by substitution.
    11·1 answer
  • As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings t
    11·2 answers
  • Please please please help!! ASAP
    12·1 answer
  • 16,8,4,1 <br> Is the sequence arithmetic yes or no ?
    8·2 answers
  • Identify THREE vocabulary words that also refer to x-intercepts.
    14·2 answers
  • Find the area of the shaded region.
    12·1 answer
  • Write the equation of the line that passes through the points (-1,-4) and (9,-5).
    14·1 answer
  • Perform the operation. (-2x^2-4x+2)-(-6x+2) (−2x 2 −4x+2)−(−6x+2)
    14·1 answer
  • If the odds against an event are 5​:8​, then the probability that the event will fail to occur is​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!