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zalisa [80]
2 years ago
10

Use the diagram to answer each of the following questions.

Mathematics
1 answer:
zalisa [80]2 years ago
6 0

The value of w given that k is 15 is 30

<h3>Sum of vectors</h3>

From the given diagram, the sum of the two vectors moving in the same direction is equal to the vector moving in the opposite direction.

  • The sum of vectors in similar directions = -k% - k%
  • The sum of vectors in similar directions = -2k%

Equating this to -w%

-2k% = -w%

-2k = -w

w = 2k

If  k = `5

w = 2(15)

w = 30

Hence the value of w given that k is 15 is 30

Learn more on sum of vectors here: brainly.com/question/2927458

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Read 2 more answers
A polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​
deff fn [24]
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180
​

⇒n−2=5
⇒n=5+2=7

Hence, the polygon has 7 sides.
4 0
3 years ago
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