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vodomira [7]
4 years ago
6

|4x|+6=22?????????????????????

Mathematics
1 answer:
AnnZ [28]4 years ago
6 0

Answer: x=4, x=-4

Step-by-step explanation: because it is absolute value, negative or positive does not matter.

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Explain how you would write 423,090,709,000 in word form
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Find the area of a regular pentagon with apothem length of about 10.3 meters. Round to the nearest tenth if necessary.
matrenka [14]

Answer:

The area = 182.52 sq units.

Step-by-step explanation:

  1. Area of regular polygon can be found by splitting into smaller triangles.
  2. Each triangle has base as side of polygon and vertex as center of polygon.

now consider ΔOAB,

we know ∠AOB = \frac{360}{5}° =72°

<h3>     (this is due to symmetry)</h3>

as  ∠AOD = (∠AOB)/2 = 36°

Now we know AD=AB/2 =\frac{10.3}{2} =5.15 m

using trignometric relation tan(∠AOD) =\frac{AD}{OD}

⇒OD = \frac{AD}{tan(36)} = \frac{5.15}{tan(36)}

AREA OF TRIANGLE = BASE × HEIGHT /2

area of ΔOAD = \frac{1}{2} × 5.15 × \frac{5.15}{tan(36)}

     = \frac{(5.15)^2}{2tan(36)}

<u>As there are 10 such triangles like </u>ΔOAD

Total area =10×\frac{(5.15)^2}{2tan(36)}

 = 182.525447428574

4 0
3 years ago
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Juan ramirez sells suits in a major department store on weekends. He earns a commission of 5 percent on the first 10 suits, and
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 Juan Ramirez made $185.00

For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3. 

250*.05=12.50

250*.08=20

12.50*10=125

3*20=60

125+60=185.
3 0
3 years ago
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