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
lora16 [44]
3 years ago
9

Solve the triangle. a = 10, b = 23, C = 95° (2 points) c ≈ 25.1, A ≈ 26.8°, B ≈ 58.2° c ≈ 25.1, A ≈ 22.8°, B ≈ 62.2° c ≈ 25.9, A

≈ 22.8°, B ≈ 62.2° c ≈ 25.9, A ≈ 59.2°, B ≈ 25.8°

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

Answer:

c ≈ 25.9, A ≈ 22.8°, B ≈ 62.2°

Step-by-step explanation:

The Law of Cosines can be used to find the third side.

... c² = a² + b² - 2ab·cos(C)

... c² ≈ 100 +529 -2·10·23·cos(95°)

... c² ≈ 669.0916

... c ≈ √669.0916 ≈ 25.87

From the Law of Sines, we can find the remaining angles.

... sin(B)/b = sin(C)/c

... B = arcsin(b/c·sin(C)) ≈ 62.35°

These results are sufficient to make the appropriate answer choice.

_____

<em>Comment on Answer Discrepancies</em>

If the "c" used in the calculation of B is inappropriately rounded to 25.9, then the result for angle B is 62.21°. This is in error by more than 0.1°. Intermediate results should <em>never</em> be rounded, but should be carried to full calculator precision. Only final answers should be rounded.

You might be interested in
Two sets of quadratic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2:
Serga [27]
Its line 1

if we expand the second and third expressions they come back to the first.

The last one is called the vertex form of a parabola
5 0
3 years ago
A circle has a sector with area 45/4 pi and central angle of 9/10 pi radians. What is the area of the circle?
Nikitich [7]

Answer:

the area of the circle: 25π

Step-by-step explanation:

45/4 π = 11.25π

9/10π = 0.9π

11.25π / 0.9π = x / 2π   .... 360° = 2π

x = (11.25π x 2π) / 0.9π = 25π

6 0
3 years ago
The circle passes through the point (4.5,0). What is its radius?
Andreyy89

Answer:

4.5 units

Step-by-step explanation:

In this case, if we draw the point on the xy cartesian plane, we know that the value of "x" is 4.5 and the value of "y" is 0.

Which means that when I draw this in any way, the maximum value it will take is 4.5 units, therefore the radius should not exceed this value, nor should it be less than 4.5 units since the circle would be distorted.

Which means that the radius is 4.5 units

4 0
3 years ago
Read 2 more answers
Median for 9, 8, 5, 4, 3,18, 15 *<br><br><br>What is the mode for 1,1,1,2,3,5,10,10,10,10,14,11​
miskamm [114]

Answer:

median: 8

mode: 10

3 0
2 years ago
For a car, $250 per month, 40 mile per gal, $2.15 cost per gal, make an linear equation
Talja [164]

Answer:

250+(40×2.15)

336

hope this helps

4 0
2 years ago
Other questions:
  • Where is the graph of f(x)=4[x-3]+2 discontinuous?
    7·2 answers
  • Pls answer this with an explanation if you can pg3 pt1
    5·2 answers
  • Plz help! Is this right? Question is below!
    8·1 answer
  • Jonas types 560 words in 20 mins. How many words can he type in one hour
    8·1 answer
  • Question 15
    6·2 answers
  • Im confused on this one !
    7·1 answer
  • Can you please help me do find a resolution for these equations
    15·1 answer
  • Which is the best reason why 4 5/6+2 4/6 not equal to eight
    5·1 answer
  • Pls help me<br>NO LINKS OR I WILL REPORT<br>​
    11·2 answers
  • (120°<br> 3x<br> 2x<br> Solve for x!<br> 120<br> 24<br> 360<br> 20
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!