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zmey [24]
3 years ago
10

What is the surface area of the triangular prism?

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0

Answer:

168ft

Step-by-step explanation:

1/2(6)(4)=12

1/2(6)(4)=12

(9)(5)=45

(9)(5)=45

(9)(6)=54

12+12+45+45+54=168

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OlgaM077 [116]
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Complete the Square:<br> 5x^2+16x-40=8<br> (please show your steps)
Sav [38]

Answer:

Step-by-step explanation:

divide through by the coefficient of x^{2}

\frac{5x^{2} }{5} + \frac{16x}{5}  + \frac{-40}{5} = \frac{8}{5}

x^{2} +\frac{16}{5}x  -8 =\frac{8}{5}

x^{2} +\frac{16}{5} x = \frac{8}{5}  +8

x^{2} + \frac{16}{5}  x =\frac{48}{5}

Add half of the square of the coefficient of x  to both sides (\frac{1}{2}  X \frac{16}{5} ) ^{2}

x^{2}  + \frac{16}{5}x + (\frac{1}{2}  X \frac{16}{5} )^{2} = \frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}

x^{2}  +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}

(x +\frac{16}{10})^{2}    =\frac{304}{25}

x +\frac{16}{10} =±\sqrt{\frac{304}{25} }

x = -\frac{16}{10} ± \sqrt{\frac{304}{25} }

x=-\frac{16}{10}  + \sqrt{\frac{304}{25} } or-\frac{16}{10}  - \sqrt{\frac{304}{25} }

x = 1.89 or -5.09

5 0
3 years ago
What is the range of f(x)?<br> {xl-2 {x|-2 {yl-5 {yl-5 sy&lt;-1}
Bas_tet [7]

Answer:

-5≤y≤-1

Step-by-step explanation:

The range is the values that y takes

The smallest value of y is -5 and the largest value of y is -1

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7 0
3 years ago
A water tank holds 236 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 354 gallons but is leak
labwork [276]
The correct answer for this is 59
3 0
3 years ago
Help!!!!<br>Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​
Talja [164]

Answer:

<h2>a)  0.356 </h2><h2> b)  1.1397 </h2>

Step-by-step explanation:

a) log₇2

 =  log(2) / log(7)

 = 0.356

b) log₇ (¹⁴⁷/₁₆)

  = <u>log (¹⁴⁷/₁₆) </u>

      log (7)

  = 1.1397

7 0
3 years ago
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