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
Alex777 [14]
2 years ago
10

Advanced Trigonometry, pls help me answer this!​

Mathematics
1 answer:
Ierofanga [76]2 years ago
3 0
<h3>Answer:   14.3 square cm</h3>

======================================================

Explanation:

We have this given info

  • side a = 5
  • side c = 6
  • angle C = 40

Let's apply the law of sines to find angle A

sin(A)/a = sin(C)/c

sin(A)/5 = sin(40)/6

sin(A) = 5*sin(40)/6

sin(A) = 0.535656

A = \sin^{-1}(0.535656) or A = 180-\sin^{-1}(0.535656)

A = 32.388411 or A = 147.611589

There are two possibilities here we need to check.

If you were to try A = 147.611589 along with C = 40, then A+B+C = 180 solves to B = -7.6116 approximately. This isn't valid because the angles cannot be negative. So we rule out the case that A = 147.611589

If we tried A = 32.388411 and C = 40, then we'd get B = 107.611589 which is a valid angle.

------------------

The last step is to use the SAS triangle area formula to get...

area = 0.5*side1*side2*sin(angle)

area = 0.5*a*c*sin(B)

area = 0.5*5*6*sin(107.611589)

area = 14.296942

This rounds to 14.3 when rounding to 3 significant figures.

You might be interested in
The equation of the line through point (-5,0) and parallel to the y-axis is
Mrac [35]
It's x=-5. It is a vertical line, and vertical lines have a consistent x coordinate. Since it passes through (-5,0), you take the x-coordinate of this point.
4 0
3 years ago
Can someone plz help me with this one problem plzzzzz!!!!
Alinara [238K]
Again lol yes the answer is yea
7 0
3 years ago
Read 2 more answers
Please help solve for b.
Zanzabum
Subtract a from both sides of the equation.

b=−a+14

6 0
3 years ago
Read 2 more answers
A container of motor oil is supposed to contain 1000 ml of oil. a quality control engineer is concerned about the variability of
svlad2 [7]

one  hundred millimeters

p.s I am only nine

4 0
3 years ago
One can convert temperature from Fahrenheit into Newton using the formula N=11/60(F-32) . What is the temperature in Fahrenheit
Rasek [7]

We are given

N=\frac{11}{60} (F-32)

Since, we have to solve for F

so, we will isolate F on anyone side

step-1:

Multiply both sides by 60

60\times N=60\times \frac{11}{60} (F-32)

60N=11 (F-32)

step-2:

Divide both sides by 11

\frac{60N}{11} =\frac{11(F-32)}{11}

\frac{60}{11}N =F-32

step-3:

Add both sides by 32

\frac{60}{11}N+32 =F-32+32

\frac{60}{11}N+32 =F

so, we get

F=\frac{60}{11}N+32................Answer

5 0
3 years ago
Other questions:
  • A store is selling a black pair of shoes for $79.45 and a brown pair of shoes for $133.99. the black pair of shoes is marked up
    12·2 answers
  • If 1/x + 1/3x equals 4 then what is x
    14·1 answer
  • A 54-ounce bottle of fruit juice costs $6.by the unit rates rounded to the nearest cent
    14·1 answer
  • What is the value of 63,108 divide by 72
    9·2 answers
  • What are the roots of the polynomial equation?<br><br> x2+11x−80=0
    15·2 answers
  • Estimate how many times larger 10 x 109 is than 99 x 106.
    6·2 answers
  • Solve 2x2 - 126 = 0. Make sure to simplify if<br> necessary.
    12·1 answer
  • Which of the following functions is graphed below?
    15·1 answer
  • The permiter of a square must be less than 160 feet. What is the maximum length of a side in feet?
    11·2 answers
  • 1 and 2 are complementary angles. The measure of 1 is 54 . The measure of 2 is 6(x +1). Find the value of x.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!