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natka813 [3]
3 years ago
6

Write the cosine ratio of angle b and show work please

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0
The formula for cosine is adj/hyp. For angle B, 10 is the adjacent and 24 is the opposite. The hypotenuse ( in this case, 26) is the longest side. the ratio for angle b would be 10/26.

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A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio
Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

                            (0.40)(10)

 

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

   x + y = 10

         y = 10 - x

 

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

   0.25(x) + 0.50(10 - x) = 0.40(10)

   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

   -0.25x = -1

          x = (-1)/(-0.25)

          x = 4 (liters of 25% solution)

 

Now we'll plug our value for x into Equation #1 and solve for y:

   4 + y = 10

         y  = 10 - 4

         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

8 0
2 years ago
What does the expression I+ w + i + w represent
Zinaida [17]
For example:
L plus W
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I plus W
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total: 9+10= 19
(this is just an example)
7 0
3 years ago
What are the names of three collinear points?
babymother [125]

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

<h3> <em>Points L, J, and K are collinear.</em></h3>

Hope it helps you,

mark me as the brainliest....

Follow me!!

3 0
3 years ago
2b^3+5=2(3)^3+5 when b=3
seraphim [82]

Answer:

2b^3+5=2(3)^3+5 when b=3

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What is the relationship that exist between two quantities in unit rate​
Molodets [167]

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

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3 years ago
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