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Jobisdone [24]
3 years ago
13

In the image, pretty sure 24 is a plane. Not sure about 23.

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

9514 1404 393

Answer:

  23. A  (postulate)

  24. A  (line)

Step-by-step explanation:

23. A postulate is assumed true without proof. A theorem must be proven before it can be used as a reason in a proof. Postulates, theorems, and definitions can all be used as reasons in a proof.

__

24. Two planes intersect in a line. An example is attached.

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Step-by-step explanation:

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3 years ago
A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

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The top of the ladder to the ground represents

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The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

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36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
2 years ago
An amusement park manager determined that about 23 of all customers would wait in long lines to ride the new roller coaster. Whi
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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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The ratio of the angles in a triangle is 7:10:3 what is the measure of the smallest angle?
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