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algol [13]
2 years ago
11

−11 ≤ −5; Add 16 to both sides The resulting inequality is:

Mathematics
1 answer:
Lemur [1.5K]2 years ago
3 0

Answer:

True, (-∞, ∞)      5 ≤ 11

Step-by-step explanation:

−11 ≤ −5                       Add 16 to both sides

−11 + 16 ≤ −5 + 16

5 ≤ 11

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3 years ago
A convex mirror in an amusement park has a radius of curvature of 3. 00 m. A man stands in front of the mirror so that his image
densk [106]

The convex mirror in the park is an illustration of lens magnification

The man must focus his eyes at 4.50 meters to see his image

<h3>How to determine the object distance?</h3>

The given parameter is:

Radius of curvature, r = 3.00 m

The magnification (m) of the mirror is 1/2, because the image (v) is half as tall as the actual height (u).

So, we have:

m = u/v

So, we have:

u/v = 1/2

Make v the subject

v = 2u

The focal length is calculated as:

1/f = 1/u + 1/v

The focal length is calculated as:

f = r/2

f = 3/2

Substitute f = 3/2 in 1/f = 1/u + 1/v

2/3 = 1/u + 1/v

Substitute v = 2u in 2/3 = 1/u + 1/v

2/3 = 1/u + 1/2u

Take the LCM

2/3 = (2 + 1)/2u

This gives

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Take the inverse of both sides

3/2 = 2u/3

Cross multiply

2u = 3 * 3

4u = 9

Divide both sides by 4

u = 9/4

This gives

u = 2.25

Recall that:

v = 2u

So,we have:

v = 2 * 2.25

v = 4.50

Hence, the man must focus his eyes at 4.50 meters to see his image

Read more about magnification at:

brainly.com/question/2759705

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