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Tomtit [17]
3 years ago
6

Using the diagram, find sin B. Express your answer as a decimal rounded to the nearest hundredth, such as .86 or 0.86.

Mathematics
1 answer:
inessss [21]3 years ago
4 0
Hi, thank you for posting your question here at Brainly.

This problem could be solved using the Law of Cosines, since we are given with the three sides. The equation goes,

b^2 = a^2 + c^2 - 2accosB. Substituting,

24^2 = 7^2 + 25^2 - 2(7)(25)cosB

Then B = 73.7 degrees. Therefore sinB or sin(73.7) = 0.96.
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Paul says that 7/10 is the same as 7%. Is he correct or incorrect. Explain your reasoning and show your work
belka [17]
No 7/10 is equivalent to 70% 07/10 is equivalent to 7%
8 0
3 years ago
the ratio of boys to girls in janices classroom is 3:5, and there are a total of 32 students in the class, help plss​
svetoff [14.1K]

9514 1404 393

Answer:

  • 12 boys
  • 20 girls

Step-by-step explanation:

The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.

The 3 ratio units representing boys will stand for 3×4 = 12 boys.

The 5 ratio units representing girls will stand for 5×4 = 20 girls.

There are 12 boys and 20 girls in Janice's classroom.

_____

<em>Additional comment</em>

I find the above solution to be the easiest.

You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.

  b/g = 3/5

  b +g = 32

Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:

  b = (3/5)g

  (3/5)g +g = 32

  8/5g = 32 . . . . . . . . . . . . . . . . . collect terms

  g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8

  b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g

5 0
2 years ago
Why is division by zero not allowed? Explain using your knowledge of how division is related to subtraction.
anyanavicka [17]
It’s impossible because any number divided by 0 will always just be 0
6 0
2 years ago
Read 2 more answers
Alice's grandmothers age is a composite number between 70 and 80 and has a factor of 11 what is it
pshichka [43]

The factor of 11 is going to be 77 because you have to stay in between 70 to 80

and 7 times 11 is 77. It also has to be a number in the 11 timetables. It can't be 88 because we can't cross 80 so the factor is going to be 77.


Hope it helps

6 0
4 years ago
Read 2 more answers
1. A bag contains the letters of the word “PROBABILITY”.
Mama L [17]

Since "PROBABILITY" has 11 letters in it, then every letter has 1/11 chances of getting picked, so the chances of getting an O tile would be 1/11, same for getting a B tile. But if you were to get both of them consecutively, then the chances would be 1/11 of 1/11 because you have 1/11 of a chance to get and O and then 1/11 of a chance to get a B. So you would be looking for 1/11 of 1/11, which means multiplying the divisor, 11*11=121. Therefore, you should have 1/121 chance of getting an O and B tile.

6 0
3 years ago
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