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Akimi4 [234]
3 years ago
7

Find c. Round to the nearest tenth

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

c = <u>0.5 cm</u>

Step-by-step explanation:

Using the Sine rule in the triangle, then

=  ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c =  ≈ 0.5 cm ( to the nearest tenth )

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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
What is the solution to the equation 6x+2=9x-1?<br> 0 0 0 0<br> X= 1
Stells [14]

Answer:

Step-by-step explanation:

6x+2=9x-1      x=1

6(1)+2=9(1)-1

6+2=9-1

8=8

Hope this helps :)

8 0
3 years ago
Read 2 more answers
express each of the following as product of its prime factors, giving your answer in expanded form. a) 24. b) 63. c) 84. d) 150​
Alborosie
To answer this question, you can use a factor tree, or the table thing (I forgot what it’s called.)
You divide the number by one of its PRIME factors, until there is only one left. The numbers you divided it by are written as shown.
Hope this helps. :)
3 0
3 years ago
5x-2&gt;8 does x equal &gt;2
katovenus [111]

Yes that it correct

4 0
3 years ago
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Your grocery bill before taxes was $265.24. You have to pay 7.3% sales tax. How much is your total grocery bill?
tamaranim1 [39]

Answer:

$284.60

Step-by-step explanation:

7.3% of $265.24 = 19.36252,

So the tax is $19.36.

19.36 + 265.24 = 284.60

So the total grocery bill is $284.60.

6 0
3 years ago
Read 2 more answers
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