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melamori03 [73]
3 years ago
9

N (blank exponent) = 1/64 when n = 1/4

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

The blank exponent is 3

Step-by-step explanation:

It is given that n^x=1/64 where n=1/4

1/4^x=1/64

1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.

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The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to
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The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

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b) let the distance of the ball in the new position from the foot of the tower be y.

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In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

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