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Bas_tet [7]
3 years ago
7

Two containers, A and B begin with equal volumes of liquid.

Mathematics
1 answer:
Reika [66]3 years ago
8 0

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml

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sattari [20]
Imagine tha the each numeral of the code is written over each line:

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1      2    3    4    5   6

Every position may have any of the 10 different numerals.

So over the first line you can put 10 different numerals and the same is true for each of the six positions.

So you can create 10x10x10x10x10x10 = 1,000,000 different codes.
4 0
3 years ago
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23: √6.91, √49, 15/2, 7 1/8
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8 0
3 years ago
Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec
expeople1 [14]

Answer:

cot x = \frac{cos x}{sin x}

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

4 0
3 years ago
Please help and thank you.
Ulleksa [173]

Answer:

zeros: x = 5, or (5, 0)

domain: x ≥ -4

Step-by-step explanation:

The zeros are the values of x where the graph crosses the x-axis. The graph crosses at x=5, so that is the zero.

___

The domain is the set of x-values for which the function is defined. There is no graph for x < -4, so the graph is only defined for x ≥ -4. The domain is x ≥ -4.

_____

The graph has the appearance of the graph of ...

y=\sqrt{x+4}-3

8 0
3 years ago
What is the length of the third side of the window frame below?
Tanya [424]

Answer:

15 inches

Step-by-step explanation:

The longest side of the right triangular window frame is 39 inches

The height is 36 inches

Let the base of the window frame be x inches

So according to Pythagoras theorem,

x² + 36² = 39²

x² = 39² - 36² = 225

x = \sqrt{225} = 15 inches

The third side of the window frame is therefore equal to 15 inches.

3 0
3 years ago
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