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Zina [86]
3 years ago
5

The missing number in the series 1,4,27,__,3125 is:

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

D )  256

Step-by-step explanation:

The given sequence is  1,4,27, ---, 3125

This is sequence of given problem

1^{2},2^{2} ,3^{3} ,4^{4} ,5^{5}

so here missing is '4' term is

The fourth term is 256.

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It should be 18, because despite of 3,14, because that's pi and radius is half of the diameter, so36 divide 2 is 18.
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The parallelogram below will undergo a single transformation.
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The last 2 options are correct
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the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre
Anarel [89]

Answer:

The height of the pole is 167 m

Step-by-step explanation:

The given parameters are;

Increase  in the length of the shadow = 90 m

Initial angle of elevation of the Sun = 58°

Final angle of elevation of the Sun = 36°

We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase  in the length of the shadow  

We have by sin rule;

90/(sin (22°)  = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)

Let the initial ray from the top of the pole to the end of the shadow's length = l₁

90/(sin (22°)  = l₁/(sin(122°)

l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m

Therefore;

The height of the pole = 283.3 m × sin(36°) = 166.52 m

The height of the pole= 167 m to three significant figures.

3 0
3 years ago
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Interior and Exterior Triangle Angles<br><br> plz help
MatroZZZ [7]

Answer:

∠ N = 41°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

6x + 1 + 3x - 10 + x + 19 = 180, simplifying

10x + 10 = 180 ( subtract 10 from both sides )

10x = 170 ( divide both sides by 10 )

x = 17

Thus

∠ N = 3x - 10 = 3(17) - 10 = 51 - 10 = 41°

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2 years ago
EASY QUESTION !! IF YOU GET IT RIGHT ILL AWARD BRAINLIEST!!
Romashka [77]

Answer: x=18, y=30

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2 years ago
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