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
victus00 [196]
2 years ago
9

Calculate the unknown sides and angles of the triangle ABC given.

Mathematics
1 answer:
creativ13 [48]2 years ago
4 0
<h3>Answer:</h3><h3>See below</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • law of sine
  • law of cosine
  • PEMDAS
<h3>let's solve:</h3>

there are 3 ways to solve SAS triangle

  • use The Law of Cosines to calculate the unknown side,
  • then use The Law of Sines to find the smaller of the other two angles
  • and then use the three angles add to 180° to find the last angle.

first figure out \angle C

to do so we will use the formula of law of cosine of C angle

{c}^{2}  =  {a}^{2}  +  {b}^{2}  - 2ab.\cos(C)

substitute the given values of a,b and \angle C

\sf{c}^{2}  =  {6 }^{2}  +  {3.5}^{2}  - 2.6.(3.5). \cos( {25.7}^{ \circ} )

simplify squares:

c^{2}=36+12.25-42.\cos(25.7^{\circ})

simplify addition:

c^{2}=48.25-42.\cos(25.7^{\circ})

square root both sides

\sf \:  \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}

simplify:

therefore

\bold{c=3.23}

use law of sine to figure out angle A

\dfrac{6}{\sin( \angle \: A) }  =  \dfrac{3.23}{\sin(25.7)}

therefore

\bold{\angle A=53.66°}(use calculater to simplify it)

therefore

\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}

\bold{= 100.64}

You might be interested in
More help with cylinder math?
meriva
First you will need to find the lateral idea which is
2(15) (3.14) (4)
-multiply them together
Then you will need to find the base.
-3.14x15x4
Then find the surface area
-answer from lateral area and 2(-answer from base-)
Add that and that is ur answer
3 0
3 years ago
Read 2 more answers
What is the answer 12 x 12
aleksandr82 [10.1K]

12 × 12 would equal to 144

Hope this helped! :D

8 0
3 years ago
Read 2 more answers
Based on a​ poll, among adults who regret getting​ tattoos, 12​% say that they were too young when they got their tattoos. Assum
Tema [17]

Answer:

a.  0.6588

b. 0.3978

c. 0. 279

Step-by-step explanation:

In the given question the success and failure are given the number of outcomes is fixed so binomial distribution can be applied.

Here success=  p = 12 % or 12/100 = 0.12

failure = q= 1-p = 1-0.12 = 0.88

n= 10

Using binomial probability distribution

a. Probability that the number of selected adults saying they were too young is 0 or 1 is calculated as:

P (x=0,1) = 0.12 ⁰(0.88)¹⁰10 C0  + 0.12 (0.88)⁹ 10 C1=  1* 0.279 * 1  + 0.12 ( 0.3165) 10 =  0. 279 + 0.3978=  0.6588

b. Probability that exactly one of the selected adults says that he or she was too young to get tattoos is calculated as

P (x=1) =  0.12 (0.88)⁹ 10 C1=  0.12 ( 0.3165) 10 =  0.3978

c. Probability that none of the selected adults say that they were too young to get tattoos is

P (x=0) = 0.12 ⁰(0.88)¹⁰10 C0  =  1* 0.279 * 1   =  0. 279

4 0
3 years ago
If he devotes all of his available resources to cantaloupe production, a farmer can produce 120 cantaloupes. If he sacrifices 1.
sp2606 [1]

Answer:

C. His opportunity cost of one watermelon is 2/3 of a cantaloupe.

c. Fewer households can afford luxury imports

Step-by-step explanation: Opportunity Cost is an economic term used to describe the benefits or profits which a person or an investor gives up in order to make choice between alternatives.

Recession is a term used in economics to refer a state of decline in the general productive economic activities of a country or an economy, it is also the state of an economy where the Gross domestic product (GDP) growth is in the negative.

8 0
3 years ago
Read 2 more answers
I just need the answer bru why’s it gotta Make write 20 words‍♂️ this is dumb as hell bru‍♂️
TiliK225 [7]

Answer:

11

Step-by-step explanation:

W^7/W^-2=W^7+2=W^9 ( when divide subtract the exponent (7-(-2))

W^?/W² = W^?-2

W^9=W^(?-2)

9=?-2

?=11

W^7/W^-2 = W^11/W²

5 0
3 years ago
Other questions:
  • Four more then the product of 3 and x is less than 40
    9·1 answer
  • What is y + 1=x in slope intercept form?​
    6·1 answer
  • Which statements about Sofia’s work are true? Select all that apply.
    5·1 answer
  • Please help meeeeeeeee
    5·1 answer
  • Please help me I will give you the brain thing and extra points. image below
    10·1 answer
  • What is the product in lowest terms? 1/6 • 5/7
    12·1 answer
  • Help me 20 points, please
    12·1 answer
  • Can anyone help me pls!!!!!!!!
    8·1 answer
  • Which of the following lists is in order from smallest to largest?
    11·1 answer
  • Please help me solve this! 2 1/3 x 1 1/2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!