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
Evgesh-ka [11]
3 years ago
6

Help! Use trigonometric ratios to determine whether or not it is possible to construct triangle ABC if b = 3, c = 5, and B = 45°

. In your final answer, include all of your calculations.
Mathematics
2 answers:
elena-s [515]3 years ago
7 0
No its not posible because the sine is 1.5 and it cant be higher then 1
Mrrafil [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Side b is 3

Side c is 5

Angle B is 45

Lets use sin law in this triangle.

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

\frac{sin45}{3}=\frac{sinC}{5}

\frac{sin45*5}{3}=sinC

sinC=1.18

Which is not possible because sin is never greater than 1

Hence the triangle is not possible.    :   Answer

Hope it will help :)

You might be interested in
Quiz 10-1 intro circles central angles question 9
kompoz [17]

Answer:

if the diameter of the circle is 25, then the radius will be 12.5.

A=3.14(12.5)2 --> 490.9m^2

C= 2*3.14(12.5)---> 78.5 m

3 0
1 year ago
Round to the nearest tenth.
inessss [21]

Answer: Angle A = 53.9 degrees

Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;

CosA = adjacent/hypotenuse

CosA = 10/17

CosA = 0.5882

By use of the calculator or table of values,

A = 53.97

Approximately to the nearest tenth,

A = 53.9 degrees

6 0
3 years ago
A product can be made in sizes huge, average and tiny which yield a net unit profit of $14, $10, and$5, respectively. Three cent
navik [9.2K]

Answer:

The model is:

z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃    to maximize

Subject to:

First center               X₁₁  +  X₂₁  + X₃₁  ≤  550

Second center         X₁₂  +  X₂₂  + X₃₂  ≤ 750

Third center               X₁₃  + X₂₃  + X₃₃  ≤ 275                  

22* X₁₁  + 16* X₂₁  + 9*X₃₁     ≤   11000

22* X₁₂  + 16* X₂₂  + 9*X₃₂   ≤   2700

22*X₁₃  + 16* X₂₃  +  9*X₃₃  ≤  3400

X₁₁  +  X₁₂  + X₁₃  ≤  710

X₂₁  + X₂₂ + X₂₃  ≤  900

X₃₁ + X₃₂ + X₃₃  ≤  350

2700*(X₁₁  +  X ₂₁  + X₃₁)  -  11000*(X₁₂ + X₂₂ + X₃₂) = 0

3400*(X₁₁  +  X ₂₁  + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0

Xij >= 0

Step-by-step explanation:

Let´s call Xij   product size i produced in center j

According to this, we get the following set of variable

X₁₁    product size huge produced in center 1

X₁₂    product size huge produced in center 2

X₁₃   product size huge produced in center 3

X₂₁   product size average produced in center 1

X₂₂   product size average produced in center 2

X₂₃   product size average produced in center 3

X₃₁  product size-tiny produced in center 1

X₃₂ product size-tiny produced in center 2

X₃₃ product size-tiny produced in center 3

Then Objective function is

z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃

Constrains

Center capacity

1.-   First center               X₁₁  +  X₂₁  + X₃₁  ≤  550

2.-   Second center         X₁₂  +  X₂₂  + X₃₂  ≤ 750

3.- Third center               X₁₃  + X₂₃  + X₃₃  ≤ 275

Water available

1.-  22* X₁₁  + 16* X₂₁  + 9*X₃₁     ≤   11000

2.-  22* X₁₂  + 16* X₂₂  + 9*X₃₂   ≤   2700

3.-   22*X₁₃  + 16* X₂₃  +  9*X₃₃  ≤  3400

Demand constrain

Product huge

X₁₁  +  X₁₂  + X₁₃  ≤  710

Product average

X₂₁  + X₂₂ + X₂₃  ≤  900

Product tiny

X₃₁ + X₃₂ + X₃₃  ≤  350

Fraction SP/CC must be the same

First and second centers  fraction SP/CC  

(X₁₁  +  X ₂₁  + X₃₁)/ 11000   =  (X₁₂ + X₂₂ + X₃₂)/ 2700

2700*(X₁₁  +  X ₂₁  + X₃₁)  -  11000*(X₁₂ + X₂₂ + X₃₂) = 0

First and third centers  fraction SP/CC  

(X₁₁  +  X ₂₁  + X₃₁)/ 11000   = ( X₁₃ + X₂₃ + X₃₃)/ 3400

3400*(X₁₁  +  X ₂₁  + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0

The model is:

z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃

Subject to:

First center               X₁₁  +  X₂₁  + X₃₁  ≤  550

Second center         X₁₂  +  X₂₂  + X₃₂  ≤ 750

Third center               X₁₃  + X₂₃  + X₃₃  ≤ 275                  

22* X₁₁  + 16* X₂₁  + 9*X₃₁     ≤   11000

22* X₁₂  + 16* X₂₂  + 9*X₃₂   ≤   2700

22*X₁₃  + 16* X₂₃  +  9*X₃₃  ≤  3400

X₁₁  +  X₁₂  + X₁₃  ≤  710

X₂₁  + X₂₂ + X₂₃  ≤  900

X₃₁ + X₃₂ + X₃₃  ≤  350

2700*(X₁₁  +  X ₂₁  + X₃₁)  -  11000*(X₁₂ + X₂₂ + X₃₂) = 0

3400*(X₁₁  +  X ₂₁  + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0

Xij >= 0

6 0
2 years ago
: In a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket du
scoundrel [369]

Answer:

The point estimate for p is 0.86.

Step-by-step explanation:

We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).

Let p = <u><em>proportion of all women shoppers who remain loyal to their favorite supermarket</em></u>

Now, the point estimate for the population proportion (p) is represented by ;

      Point estimate for p =  \hat p  =  \frac{X}{n}

where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628

            n = sample of women shoppers = 730

So, <u>point estimate for p</u> (\hat p)  =  \frac{X}{n}  

                                             =  \frac{628}{730}  = <u>0.86</u>

4 0
3 years ago
1.Define phase shift. Could every sine function be expressed as a phase shifted cosine function? Explain.
Ann [662]
A phase shift is defined as the a<span>mount of x by which sinusoid is shifted to the left or right.
 
And yes, </span><span>every sine function be expressed as a phase shifted cosine function:
</span>
sin(t)=cos(90-t)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
4 0
2 years ago
Other questions:
  • Ms evans paycheck is $850 a week.If she works 49 hours per week, how muxh does she make an hour
    9·1 answer
  • When adding numbers which way do you usually work
    15·1 answer
  • The ages of Jamal, Wesley, an John are consecutive integers.the sum of thier ages is 108.what are thier ages .
    13·1 answer
  • Find each sum or difference -1/2+1/3 please help quickly
    9·1 answer
  • Answer please? a girl needs help like right now:))
    10·2 answers
  • How many solutions can be found for the equation 4x = 4x? (4 points)​
    14·1 answer
  • Jimmy thought he had purchased 7
    6·1 answer
  • The perimeter of the figure is given. Find the length of the indicated side.
    12·2 answers
  • (18 x 4) * 5 =<br> 22 x (6 x 10) =<br> 15 x (4 x 20) =
    8·2 answers
  • HELP MEEEEEEEEEEEEEEEEEE
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!