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Anna71 [15]
2 years ago
14

In the lab, Christine has two solutions that contain alcohol and is mixing them with each other. She uses 400 milliliters less o

f Solution A than Solution B. Solution A is 14% alcohol and Solution B is 20% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 488 milliliters of pure alcohol?
Mathematics
1 answer:
Greeley [361]2 years ago
5 0

Answer:

ok

Step-by-step explanation:

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What is the length of the altitude of the equilateral triangle below
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Answer

Find out the altitude of the equilateral triangle .

To proof

By using the trignometric identity.

tan\theta = \frac{Perpendicular}{base}

As shown in the diagram

and putting the values of the angles , base and perpendicular

tan 60^{\circ} = \frac{a}{4\sqrt{3}}

tan 60^{\circ} = \sqrt{3}

solving

\sqrt{3} = \frac{a}{4\sqrt{3}}

a = \sqrt{3}\times 4 \sqrt{3}

As

\sqrt{3}\times \sqrt{3} = 3

put in the above

a = 4 × 3

a = 12 units

The  length of the altitude of the equilateral triangle is 12 units .

Option (F) is correct .

Hence proved






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3 years ago
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Answer:

Step-by-step explanation:

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24.8 = t + 5.1 what is t?
monitta

Answer:

t = 19.7

Step-by-step explanation:

24.8 = t + 5.1

-5.1           -5.1

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Solve the system of equations.
guajiro [1.7K]

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

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y= -5 or -y= 0

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Thus, the solutions are (0, -5) and (1, 0).

3 0
2 years ago
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