Use the Law of Sines to solve the triangle. Round your answers to two decimal places.A = 110.8°, C = 18.2°, a = 25.3

Answers

Answer 1
Answer:

Answer:

Can't be solved.

Step-by-step explanation:

Answer 2
Answer:

Answer: B = 43.9 , b = 18 71 , c = 8.45

Step-by-step explanation:

from the law of sine,

   a                   b                     c

---------    =    ----------      =    -----------   a =25.3, C = 18.2 degree, A = 110.8 deg.

Sine A            Sine B           Sine C

to get the value of c,

   a                      c

---------      =     -----------  

Sine A              Sine C,

   25.3                 c

-----------  =      -------------      

Sine 110.8       Sine 18.2

Now cross multiply to get the value of c

c x Sine 110.8 = 25.3 x Sine 18.2

Therefore c =  25.3 x Sine 18.2

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

                               Sine 110.8

checking for Sine 18.2 in your log tables/calculators , ie, sine 18 under 2, = 0.3123 and sine 110.8 = 0.9348

c = 25.3 x 0.3123

      --------------------

              0.9348

  =    8.45.

To get angle B, sum total of a triangle is supplementary ie, 180 degree.

meaning that A + B + C = 180

Therefore, angle B = 180 - ( 110.8 + 25.3)

                                =  180 - 136.1

                                = 43.9

Now to find b,

          b                   c

    ------------- =   ------------

        Sine B         Sine C

           b                     8.45    

       ---------        =    ------------

      Sine 43.9        Sine 18.2

b x sine 18.2 = 8.45 x Sine 43.9

    b = 8.45 x 0.6934

           --------------------

                0. 3123

  b =   18.708

     = 18.71.

The final Answer = B =  43.9, b = 18.71, c = 8.45

 

                       

   


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Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. If she was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most likely be the probability of drawing an orange block (round to the nearest hundredth)? A) 0.14
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Answers

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D) 0.25

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Explanation: I also have this question on this test and I got it right. :)

Sorry if I'm late answering this. :(

Divide the following problems: 2/3 divided by 1/5, 5/9 divided by 10/11, 7/2 divided by 3/4, and 4 1/3 divided by 3/2. Show your work. (Try to get back to me as soon as you can, thanks!)

Answers

5,11/18,6 1/3, 2 8/9.

Macy has some ropes, each 2 feet long. Nellie has some ropes, each 3 feet long. Oscar has some ropes, each 5 feet long. What is the length of each line of ropes when they are of the same length?

Answers

they should be altogether for 10 feet long

Pls help ASAP!!!On a certain hot​ summer's day, 622 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.50 for adults. The receipts for admission totaled $ 1375.00.  How many children and how many adults swam at the public pool that​ day? 22 POINTS

Answers

240 children and 382 adult swam at the public pool that day

Solution:

Let "c" be the number of childrens

Let "a" be the number of adults

Cost of 1 child ticket = $ 1.75

Cost of 1 adult ticket = $ 2.50

622 people used the public swimming pool

Therefore,

number of childrens + number of adults = 622

c + a = 622 ------ eqn 1

The receipts for admission totaled $ 1375.00

Therefore, we can frame a equation as:

number of childrens x Cost of 1 child ticket + number of adults x Cost of 1 adult ticket = 1375.00

c * 1.75 + a * 2.50 = 1375

1.75c + 2.50a = 1375 ----- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

c = 622 - a -------- eqn 3

Substitute eqn 3 in eqn 2

1.75(622 - a) + 2.50a = 1375

1088.5 - 1.75a + 2.50a = 1375

0.75a = 1375 - 1088.5

0.75a = 286.5

a = 382

Substitute a = 382 in eqn 3

c = 622 - 382

c = 240

Thus 240 children and 382 adult swam at the public pool that day

For this question i just need help with part B. This is just the info from the question:Coach Wilson ordered t-shirts for the basketball team from two different t-shirt suppliers. One supplier charged $16 for each t-shirt as well as 5% for shipping. The other supplier charged $18 for each shirt plus 7% for shipping.

This is the question: The first supplier gave Coach Wilson a discount of 10% off of his order total. The second supplier gave him a discount for 20% off of his total order. Write an equation to find the total cost, T, of the shirts.

I know this this long and I'm sorry but pls help me

Answers

this is what i would but for it
if S is the number of shirts

supplier 1
T=16S x 1.95 x 1.9

supplier 2
T=18S x 1.93 x 1.8

jack sets up a security camera in his back yard to take automatic pictures every 15 minutes. If the first picture is taken at 10p.m., and jack shuts the camera off at 2 a.m., how many pictures will jack have ?

Answers

Answer:

16

Step-by-step explanation:

an hour is 60 minutes, 60 (an hour) divided by 15 (Everytime it takes a picture) is 4. 10 pm to 2 am is 4 hours, 4 times 4 is 16, 16 pictures.

Answer: 17. But I'm not sure, if cout this problem like this it will be 17.

Step-by-step explanation:

10p.m, 10:15, 10:30, 10:45, 11, 11:15, 11:30, 11:45, 12a.m., 12:15, 12:30, 12:45, 1a.m., 1:15, 1:30, 1:45, 2a.m.

You can add all together and it's gonna be 17 pictures.

Thanks

P.S. if someone can explain difference between my decision and previous answer I'll be so appreciate you.;)