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diamong [38]
3 years ago
8

Factor the simplified expression using the GCF -4b + 8c + 12 - 8b - 2c + 6.

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

75

Step-by-step explanation:

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Simplify expression <br> -6-2(3x+8)
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Answer:

-6x-22

Step-by-step explanation:

-6 -2 (3x + 8)

Distribute the 2.

-6 -6x -16

Rewrite the expression.

-6x -6 - 16

Subtract -6 from 16.

The answer is -6x-22

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In ΔRST, the measure of ∠T=90°, the measure of ∠R=24°, and RS = 3.8 feet. Find the length of ST to the nearest tenth of a foot
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1.5

Step-by-step explanation:

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A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the
velikii [3]

Answer:

\theta=cos^{-1}(\frac{2}{3})

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}

\times =2\hat{i}-\hat{j}+2\hat{k}

Now, we are finding the angle between  \timesand vertical vector <0,0,1>

Angle between two vectors formula

cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }

Now, using this formula

cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}

\theta=cos^{-1}(\frac{2}{3})

Hence, the tower deviate from the vertical by the angle \theta=cos^{-1}(\frac{2}{3})

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3 years ago
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