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
Gennadij [26K]
3 years ago
6

Plz help asap......................................

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

c^2=a^2+b^2-2abcos\theta

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

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

Given ∠P and the sides r, q are known.

<u>To find the value of p:</u>

Option A: Law of cosines, all sides are known.

It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

You might be interested in
Match the rates with their equivalent unit rates. Match the rates with their equivalent unit rates. arrowRight arrowRight arrowR
anyanavicka [17]

Answer:

\frac{47}{2} \to 6

\frac{60}{12} \to 5

\frac{40}{10} \to 4

\frac{56}{8} \to 7

\frac{64}{8} \to 8

Step-by-step explanation:

Given

See attachment

Required

Complete the blanks

To do this, we simply carry out the division operation.

So, we have:

\frac{47}{2} \to 6

\frac{60}{12} \to 5

\frac{40}{10} \to 4

\frac{56}{8} \to 7

\frac{64}{8} \to 8

6 0
3 years ago
Read 2 more answers
(CESGRANRIO) Determine o parâmetro m na equação x²+mx+m²-m-12=0, de modo que ela tenha uma raíz nula e outra positiva.
slavikrds [6]
Vamos lá. 

<span>Pede-se para determinar o parâmetro "m" da equação abaixo, sabendo-se que uma raiz é nula e a outra é positiva: </span>

<span>x² + mx + m² - m - 12 = 0 </span>

<span>Veja que se uma raiz é nula (é igual a zero), então vamos substituir o "x" por "0", na equação acima: </span>

<span>0² + m*0 + m² - m - 12 = 0 </span>
<span>0 + 0 + m² - m - 12 = 0 </span>
<span>m² - m - 12 = 0 ------resolvendo essa equação do 2º grau você encontrará as seguintes raízes: </span>

<span>m' = -3 </span>
<span>m'' = 4 </span>

<span>Dessa forma, vamos substituir "m" por (-3) e por 4 e ver se a equação terá uma raiz nula e outra positiva. Vamos ver? </span>

<span>Substituindo "m" por "-3", ficamos com: </span>

<span>x² - 3x + (-3)² - (-3) - 12 = 0 </span>
<span>x² - 3x + 9 + 3 - 12 = 0 </span>
<span>x² - 3x +12 - 12 = 0 </span>
<span>x² - 3x = 0 <------Veja que as raízes dessa equação são: x' = 0 e x'' = 3 </span>
<span>Veja que para m = -3, a equação se verifica, pois temos uma raiz igual a "0" e a outra positiva (igual a 3). </span>

<span>Agora vamos substituir "m" por 4 na equação original: </span>

<span>x² + 4x + 4² - 4 - 12 = 0 </span>
<span>x² + 4x + 16 - 16 = 0 </span>
<span>x² + 4x = 0 <----- Veja que as raízes dessa equação são: x' = 0 e x'' = -4. </span>
<span>Observe que, para m = 4, a equação NÃO se verifica, pois temos uma raiz igual a "0" e a outra negativa (igual a -4). E no enunciado é informado que uma raiz deverá ser nula e a outra positiva. Como deu uma nula e a outra negativa, então m = 4 não convém. </span>

<span>Logo, o valor de "m" deverá ser: </span>

<span>m = -3 <----Pronto. Essa é a resposta. </span>
4 0
3 years ago
I wanna pass this help me please-
Simora [160]

Answer:

C

Step-by-step explanation: hope this helps :)

5 0
2 years ago
What is the least common multiple (lcm) of 4 and 6
Annette [7]
I think 4 and 6 lcm is 12
7 0
3 years ago
Read 2 more answers
Use the rules for long division to divide 262 by 9.
Pani-rosa [81]
The answer for this problem is b

4 0
3 years ago
Other questions:
  • On Monday morning there were 15 inches of snow on the ground. the temperature warmed up and by Tuesday morning 36 inches had mel
    6·2 answers
  • How do you solve this?
    6·1 answer
  • What is -9(3d - 2) = -29
    13·1 answer
  • 4n-40=-14n+14 how do I solve this ?
    11·2 answers
  • 2/3 of all your books are fiction. 1/6 of those are historical fiction. What fraction of all your books are historical fiction?
    7·1 answer
  • What is ​ 27/36 ​ as a decimal? Enter your answer in the box.
    13·2 answers
  • Need help plz I need to pass this.
    11·2 answers
  • Cho góc AOB = 100 độ vẽ OC là tia đối của tia OA , OM là phân giác của góc AOB . Tính góc COM?
    11·1 answer
  • In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5?
    9·1 answer
  • Anyone i just need help with numbers 1 and 2 of this thank you
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!