Law of sines: Sinca) = sin(B) = sin(C)
How many distinct triangles can be formed for which mA
= 75°, a = 2, and b = 3?
No triangles can be formed.
One triangle can be formed where angle B is about 15°.
One triangle can be formed where angle B is about 40°
Two triangles can be formed where angle B is 40° or
140°

no trangles can be formed

Step-by-step explanation:

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

sin(a)                    sin(b)

     =      

A                              B

Upon substituting the given values of angle A, and sides a and b, we get:

sin(75)                   sin(B)

     =      

2                                3

Upon solving this equation for B, we get:

>3sin(75)=2sin(B)

>sin(B)=3sin(75)

                      2

>sinB=1.4488

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

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to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

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the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: