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3 years ago

Find the area of the regular hexagon if the apothem is 8 squared root 3 m and a side is 16 m. Round to the nearest whole number.

Mathematics

1 answer:

Mars2501 [29]3 years ago

6 0

Perimeter = 16 * 6
Area = (1/2)(perimeter)(apothem)
Area = (1/2) (16 * 6)(8\/3)
Area = 665.1

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2+5*___=33 Figure out the blank. You can use exponents

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If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)

krok68 [10]

$Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

Step-by-step explanation:

Here we have , sin ⁡x=7/25( given sin x = 725 which is not possible ) , $0$ . Let's find tan (x - pi/4):

⇒ $Tanx = \frac{sinx}{cosx}$

⇒ $Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}$

⇒ $Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}$

⇒ $Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}$

⇒ $Tanx = {\frac{7}{25}}(\frac{25}{24} )$

⇒ $Tanx = {\frac{7}{24}}$

Now , $Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24} -1}{1+\frac{7}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }$

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7 0

3 years ago

Giving medal. A new car that sells for $21,000 depreciates (decreases in value) 16% each year. Write a function that models the

Natali5045456 [20]

$21,000-16%
16% of $21,000 is $3,360
$21,000-$3,360=$17,640
1st year would be $17,640

16% of $17,640 is $2,822
$17,640-$2,822 is $14,817
2nd year would be $14,817

16% of $14,817 is $2,370
$14,817-$2,370=$12,446
3rd year would be $12,446

$12,446 rounded would be $12,447

So A) $12,447

Hope this helps out :)

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