9514 1404 393
Answer:
C. 168°
Step-by-step explanation:
The exterior angle at any vertex of an n-gon will be ...
360°/n
So a 30-gon will have exterior angles of ...
360°/30 = 12°
The adjacent interior angle is supplementary to this, so is ...
180° -12° = 168°
_____
<em>Using the reasonableness test</em>
You know that the interior angles of a square are 90°, and that regular polygons with more sides have larger interior angles. The most any regular polygon's interior angle can be is 180°. The only answer choice between 90° and 180° is the correct choice: 168°.
what is the equation of a line that is perpendicular to 8x+6y=-5 the answer is b
Step-by-step explanation:
domain is from -3 to 4 [-3,4]
range is from 0 to 5 [0,5]
it is a relation because 4 has one to many relationship
1) =<span><span>3x</span>+<span>2
2) </span></span>=<span><span>−x</span>−<span>3
3) </span></span>=<span><span>7x</span>+<span>45
4) </span></span>=<span><span>14x</span>−<span>1
Should I show work also?</span></span>
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
2/3 = 3/2u
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
