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Blizzard [7]
3 years ago
14

Find a · b. |a| = 4, |b| = 7, the angle between a and b is 2π/3

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

-14

Step-by-step explanation:

a·b = |a|×|b|×cos(angle between them)

= 4×7×(-1/2)

= -14

You might be interested in
The base of the triangle decreases by 30% and the height increases by 20%.
sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}

<u>Initial triangle:</u>

The base is 18 cm

The height is 5 cm

The area is

A_{initial}=\dfrac{1}{2}\cdot 18\cdot 5=45\ cm^2

<u>New triangle:</u>

The base is (1-0.3)\cdot 18=0.7\cdot 18=12.6\ cm

The height is (1+0.2)\cdot 5=1.2\cdot 5=6\ cm

The area is

A_{new}=\dfrac{1}{2}\cdot 12.6\cdot 6=37.8\ cm^2

Area decreases by

100\%-\dfrac{37.8}{45}\cdot 100\%=100\%-84\%=16\%

5 0
3 years ago
Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance fro
Gwar [14]

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

4 0
2 years ago
I need help on this question!
agasfer [191]

Answer:

I think its 1234.

sorry if im wrong

4 0
2 years ago
Read 2 more answers
What is 340 pages; 20 percent decrease
mote1985 [20]
First you turn the % in to decimal .20
then you multiply .20 by 340=68.00
then you subtract 340.00-68.00=272.00
the final answer is 272.00 pages
:)
5 0
3 years ago
Read 2 more answers
(2,3), (4,-7) midpoint
Gnoma [55]

Answer:

(3, -2)

Step-by-step explanation:

2+4 = 6

3-7 = -4

6/2 = 3

-4/2 = -2

8 0
2 years ago
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