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ad-work [718]
3 years ago
15

(1 point) Find a⋅b if |a| = 2, |b| = 4, and the angle between a and b is −π7 radians.

Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

a·b  = 7.2

Step-by-step explanation:

Given :

IaI = 2; IbI = 4 , \theta = -\pi/7

Using Dot product formula:

a·b = IaI IbI cos (\theta)

a·b  = (2) (4) (cos(-\pi/7[/tex])

a·b  = 7.2

Hence Dot product of vector a and b i s:

a·b  = 7.2

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Answer:

The area of the piece of construction paper is \frac{261}{4} inches^2

Step-by-step explanation:

Length of construction paper =6 \frac{3}{4} inches

                                                 =\frac{27}{4} inches

Width of construction paper = 9 \frac{2}{3} inches

                                              = \frac{29}{3} inches

Area of construction paper =Length \times Width

Area of construction paper = \frac{27}{4}  \times \frac{29}{3}

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Hence the area of the piece of construction paper is \frac{261}{4} inches^2

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