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Ludmilka [50]
3 years ago
6

laws of Sines special cases. Find each measurement. Round your answer to the nearest tenth. Part 1. Please show your work. #1-4​

Mathematics
2 answers:
Andrews [41]3 years ago
7 0

Answer:

Apply sine theorem:

1.

c/sinC = a/sinA

=> sinC = sinA x (c/a) = sin70 x 28/24 = 1.096 => Invalid ( 1.096 > 1)

=> C is undefined

=> B is undefined

2.

c/sinC = b/sinB

=> sinB = sinc x (b/c) = sin40 x 34/33 = 0.662

=> B = arcsin(0.662) = 41.47 deg

3.

c/sinC = b/sinB

=> sinB = sinC x (b/c) = sin29 x 26/6 = 2.101 => Invalid ( 2.101 > 1)

=> B is undefined

=> A is undefined

4.

c/sinC = a/sinA

=> sinC = sinA x (c/a) = sin28 x 20/16 = 0.587

=> C = arcsin(0.587) = 35.93 deg

Hope this helps!

:)

blagie [28]3 years ago
3 0

Answer:

1. No triangle formed

2. 41.5°

3. No triangle formed

4. 35.9°

Step-by-step explanation:

1. a/sinA = c/sinC

24/sin70 = 28/sinC

sinC = 1.096308058

Triangle not possible

2. c/sinC = b/sinB

33/sin40 = 34/sinB

sinB = 0.6622660221

B = 41.47292235

3. b/sinB = c/sinC

26/sinB = 6/sin29

sinB = 2.100841688

Triangle not possible

4. a/sinA = c/sinC

16/sin28 = 20/sinC

sinC = 0.5868394535

C = 35.93304554

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olga_2 [115]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

he dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∠x + 90° = 180°

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

8 0
3 years ago
Can y’all help me with 17 and 18
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Answer:

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7 0
3 years ago
Read 2 more answers
1. What is( - 1/2 + 2)<br>2. 4( 1/2+5/4) + (-5)<br>(please answer, I will mark brainliest)<br>:)​
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1)

\longrightarrow (-\dfrac{1}{2} +2)

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\longrightarrow \sf 4(\dfrac{1}{2} +\dfrac{5}{4} ) + (-5)

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3 years ago
6x-2y=10 for y when x=2
tankabanditka [31]

Answer: 1

Step-by-step explanation:

6 times 2 minus 2y = 10

first 6x2=12

12-2y=10

minus 12 from each side =0

so now you have;

-2y= -2

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7 0
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