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valkas [14]
3 years ago
11

Find the slant height of a cone with surface area 282.74 ft2 and diameter 10 ft.

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

The formula for the surface area of cone is:

Surface Area of Cone = π * r * l + π * r^2               , where l = slant height

Substituting the given values:

282.74 ft^2 = 3.14 * 5 ft * l + 3.14 * (5 ft)^2

<span>l = 13 ft</span>

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which graph represents a line with a slope of -2/3 and a u intercept equal to that of theme u =2/3×-2​
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Step-by-step explanation:

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3 years ago
-2(3x+9)=-54<br><br> AND 2(3x+4) -3x=35 <br><br> SHOW WORK PLEASE
Naily [24]

Answer:

1. x=6

2. x=9

Step-by-step explanation:

1.

-2(3x+9)=-54\\-6x-18=-54\\+18 +18\\-6x=-36\\\frac{-6x}{-6} = \frac{-36}{-6}\\x=6

2.

2(3x+4)-3x=35\\6x+8-3x=35\\3x+8=35\\-8 -8\\3x=27\\\frac{3x}{3} =\frac{27}{3} \\x=9

<u>Written Explanation: </u>

1.

-2x(3x+9)=-54

-6x-`8=54 (Distributive property)

Add 18 to both sides

-6x=-36

Divide both sides by -6 (negative divided by a negative equals a positive)

x=6

2.

2(3x+4)-3x=35

6x+8-3x=35 (distributive property)

3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)

Subtract 8 from both sides

3x=27

Divide both sides by 3

x=9

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3 years ago
A stereo is marked down $75. If this is a 15% decrease, what was the original price for the stereo?
g100num [7]
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5 0
2 years ago
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