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2 years ago

-400=-6(8 - 8x) - 4x

Mathematics

1 answer:

Leya [2.2K]2 years ago

4 0

Answer:

The solution of -400 = -6(8 - 8x) - 4x is -8

Solution:

From question, the equation given is,

-400 = -6(8 - 8x) - 4x

Multiplying the terms inside the bracket with -6

-400 = -48 + 48x - 4x

On solving,

-400 = -48 + 44x

In the above equation, move -48 from right side to left side,

-400 + 48 = 44x

Now,

-352 = 44x

44x = -352

Now, the ‘x’ becomes,

$x = \frac{-352}{44}$

Thus, the value of the variable ‘x’ is:

x = -8

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2 years ago

In 2011, a firm books the following: increase in cash, $0; increase in inventories $13; increase in accounts receivable, $29; i

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3 years ago

In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the law of sines, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}$

We can use this to solve for $B$ :

$13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}$

$B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1$

Now, we can find $C$ :

$C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}$

Using this, we can find $c$ :

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}$

$c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}$

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2 years ago

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devlian [24]

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2 years ago

Read 2 more answers

Find the sum using the formulas for the sums of powers of integers ( problem attached )

Natasha2012 [34]

Correct Answer: - 550

We can use the distributive property to distribute the summation to the variables and then get the constant out to apply the summation formulas as shown below in the attached image.

The equation editor does not have a summation symbol, so I have attached the solution using the image.

The correct answer to this question is -550. First option is the correct one.

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2 years ago