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makvit [3.9K]
2 years ago
5

Factor the GCF from the polynomial. 40w^11 + 16w^6

Mathematics
2 answers:
Vesnalui [34]2 years ago
6 0

Answer:

8w6{5w+2}

Step-by-step explanation:

elixir [45]2 years ago
3 0

Answer:

The answer to your question is       8w⁶(5w⁵ + 2)      

Step-by-step explanation:

Polynomial                    40w¹¹ + 16w⁶

Process

1.- Look for the common factor of coefficients

                    40    16    2

                     20     8   2

                     10      4   2

                       5     2   2

                       5     1    5       GCF = 2 x 2 x 2 = 8

                       1

2.- Get the GCF of w

The GCF of the variable is w⁶

3.- Get the result

                                     8w⁶(5w⁵ + 2)                                  

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drek231 [11]

Given:

In a right triangle at B,

\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}

Using the trigonometric ratio,

\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}

Using the angle sum property,

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Final answer:

The values are,

\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}

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