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Zina [86]
2 years ago
7

Given LN is perpendicular to KN, LN=16 feet m

Mathematics
2 answers:
krek1111 [17]2 years ago
8 0

Answer:

<u>Without seeing the real diagram, there are two interpretation</u>:

  • KM is a diameter. But that can't be or else m∠L = 90°.
  • KM is a chord. We know m∠L = 100°

Triangle LNM is tight-angled and tan 55° = 16/NM

  • NM = 16/ tan 55° = 11.20332...

In the same way, find KN

We now have the chord KM,

Let the radius be R

  • <u>The angle subtended by a chord at the centre is twice the angle at the circle</u>.

So angle KOM = 200°

By the cosine law

  • R² + R² - 2(R)(R)cos 200° = KM²
  • R = 19.39057726m.

pickupchik [31]2 years ago
6 0

Step-by-step explanation:

20m i hope im correct if im not mb ;-;

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AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.
Marat540 [252]

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

6 0
3 years ago
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MrRissso [65]

Answer:

The second one

Step-by-step explanation:

4 0
3 years ago
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LenKa [72]
Either SSS or not possible

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8 0
3 years ago
If y=0.9 when x=2.4, find y when x=6.4​
Jet001 [13]

Answer:

2.4

Step-by-step explanation:

You have to divide 6.4 by 2.4 to get 2.66666666667.

Then you multiply 2.66666666667 and 0.9 to get 2.4

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5 0
2 years ago
Read 2 more answers
A right rectangular prism has edges of 2 1/4 in, 1 1/2 in and 1 1/2 in. How many cubes with lengths of 1/4 in would be needed to
Zielflug [23.3K]

The volume of a rectangular prism is (length) x (width) x (height).

The volume of the big one is  (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.

The volume of the little one is  (0.25)x(0.25)x(0.25)= 0.015625 cubic inch

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

       5.0625 / 0.015625  =  <em>324 tiny cubies</em>

=================================================

Doing it with fractions instead of decimals:

The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:

   2-1/4  =  9/4
   1-1/2  =  3/2
   1-1/2  =  3/2

   Volume = (9/4) x (3/2) x (3/2) =
 
                 (9 x 3 x 3) / (4 x 2 x 2)  =

                           81 / 16  cubic inches.

          As a mixed number:    81/16  =  <em>5-1/16 cubic inches</em>

Volume of the tiny cubie = (1/4) x (1/4) x (1/4) =  1/64 cubic inch.   

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

                 (81/16) divided by (1/64)  = 

                     (81/16) times (64/1)  = 

                             5,184/16  =  <em>324 tiny cubies</em>.


5 0
3 years ago
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