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
GenaCL600 [577]
3 years ago
9

For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x. Then find ang

le x to the nearest tenth.
68.3 by The Law of Cosines (SSS)

22.9 by The Law of Cosines (SAS)

10.7 by The Law of Sines (SAS)

8.8 by The Law of Sines (SSA)

Mathematics
1 answer:
Alika [10]3 years ago
6 0
For this case using the law of the sine we have the following mathematical relationship:
 x / sine (21) = 27 / sine (65)
 Clearing x we have:
 x = (27 / sine (65)) * (sine (21))
 x = 10.68 units
 Rounding off we have:
 x = 10.7 units
 Answer:
 
10.7 by The Law of Sines (SAS)
You might be interested in
I just need no. a please help me to prove this. ​
OleMash [197]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    and         cos A = cos B · cos C

scratchwork:

  A + B + C = π

               A = π - (B + C)

         cos A = cos [π - (B + C)]                              Apply cos

                    = - cos (B + C)                                    Simplify

                    = -(cos B · cos C - sin B · sin C)          Sum Identity

                    = sin B · sin C - cos B · cos C               Simplify

cos B · cos C = sin B · sin C - cos B · cos C               Substitution

2cos B · cos C = sin B · sin C                                        Addition

                     2=\dfrac{\sin B\cdot \sin C}{\cos B \cdot \cos C}                                     Division

                     2 = tan B · tan C

\text{Use the Sum Identity:}\quad \tan(B+C)=\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}

<u>Proof LHS → RHS</u>

Given:                              A + B + C = π

Subtraction:                     A = π - (B + C)

Apply tan:                  tan A = tan(π - (B + C))

Simplify:                               = - tan (B + C)

\text{Sum Identity:}\qquad \qquad \qquad =-\bigg(\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}\bigg)

Substitution:                        = -(tan B + tan C)/(1 - 2)

Simplify:                               = -(tan B + tan C)/-1

                                            = tan B + tan C

LHS = RHS:   tan B + tan C = tan B + tan C  \checkmark

5 0
3 years ago
An FM radio station broadcasts at 84 megahertz (MHz). What is the energy of each photon in Joule? Use h = 6.6 * 10 ^ (- 34) * j
iragen [17]

Answer:

E=5.544*10^{-26} J

Step-by-step explanation:

The equation for photon energy is given by:

E=hf

Where:

h=Planck\hspace{3}constant=6.6*10^{-34} \\f=Frequency\hspace{3}of\hspace{3}the\hspace{3}wave=84000000Hz

This equation telling us that the higher the frequency of the photon, the greater its energy. And the longer the photon wavelength, the lower its energy.

So, replacing the data provided in the previous equation:

E=(6.6*10^{-34} )*(84000000)=5.544*10^{-26} J

7 0
3 years ago
A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and cost 1.28 Brand B contains 12 fluid ou
lapo4ka [179]
Brand b is 2 cents cheaper than brand a because it is 14 cents per ounce and brand a is 16 cents per ounce you do 1.68 divided by 12 and 1.28 divided by 8
7 0
3 years ago
Charlie paid 660 for 6 shirts and four belts. One shirt costs three times as much as one belt. If Sam bought 5 shirts and 2 suck
Cerrena [4.2K]

Sam would have to pay $510 to buy 5 shirts and 2 suck belts.

Step-by-step explanation:

Let,

Cost of one shirt = x

Cost of one belt = y

According to given statement;

6x+4y = 660    Eqn 1

x = 3y          Eqn 2

Putting value of x from Eqn 2 in Eqn 1

6(3y)+4y=660\\18y+4y=660\\22y=660

Dividing both sides by 22

\frac{22y}{22}=\frac{660}{22}\\y=30

Putting y=30 in Eqn 2

x=3(30)\\x=90

One shirt costs $90 and one belt cost $30.

Price of 5 shirts = 90*5 = $450

Price of 2 belts = 30*2 = $60

Total = 450+60 = $510

Sam would have to pay $510 to buy 5 shirts and 2 suck belts.

Keywords: linear equation, addition

Learn more about addition at:

  • brainly.com/question/9381111
  • brainly.com/question/9369548

#LearnwithBrainly

6 0
3 years ago
The length of a dance floor to be replaced is 1 foot shorter than twice than width. You measured the width to be 12.25 feet. Wha
telo118 [61]
12.25x2=24.50 (width x2)
24.50-1=23.50 (length)


Area= LxW
        =23.50x12.25
        =287.88 feet

7 0
3 years ago
Read 2 more answers
Other questions:
  • Still have to times it by 20%
    6·2 answers
  • I need help with this!
    15·1 answer
  • What is the volume of the prism?
    12·2 answers
  • Complete the equation...
    15·2 answers
  • What is the answer to this question ?
    8·1 answer
  • A man notices that a tank is half full. After emptying 600 litres from the tank, that it is now one-third full. How much does th
    9·1 answer
  • What is the answer to 7 (10-3x) = 5(10-4x
    9·1 answer
  • A-3b=4;2a=6b-9 Answer by elimination, please include the entire work on how you got to your answer. According to my math teacher
    12·1 answer
  • 16,15,13,12,17,14,11,9,11,9,10,9 find the median,first quartile (Q1), and third quartile (Q3)
    12·2 answers
  • Represents the puud<br> x + 4y = 25.50<br> 3x + 2y = 24.00
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!