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IrinaK [193]
4 years ago
15

I don't understand this one.

Mathematics
1 answer:
Artemon [7]4 years ago
7 0

Answer:

C.  27 feet to the nearest foot.

Step-by-step explanation:

In a 45-45-90 triangle the 2 legs ( the base and the height)  are equal in length.

So the area = 1/2 * base * height

= 1/2 h^2 = 32

h^2 = 32 / 1/2 = 64

h = 8 feet.

That is both legs are 8 feet long.

So the amount of fencing needed = the perimeter

=  2*8 + H    where H is the hypotenuse.

As it is a 45-45-90 triangle H = √ * 8 = 11.3 feet.

The perimeter = 16 + 11.3

= 27 feet to the nearest foot.

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If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box
Kruka [31]

Answer:

Surface area of the cube = 216 square units

Step-by-step explanation:

Let the length of a side of a cube = x unit

Diameter of the sphere inscribed in this cube = length of a side of the cube

Volume of the sphere = \frac{4}{3}\pi r^{3}

Where r = radius of the sphere = \frac{x}{2} units

36π = \frac{4}{3}\pi (\frac{x}{2})^{3}

36π = \frac{4x^{3}\pi }{24}

36×24 = 4x³

x = \sqrt[3]{\frac{36\times 24}{4} }

x = 6 units

Length of a side of the cube = 6 units

Surface area of the cube = 6×(Side)²

                                          = 6×(6)²

                                          = 216

                                          = 216 square units    

3 0
3 years ago
Factor completely 4x^2 +25+6
malfutka [58]

Answer:

Look at the explanation

Step-by-step explanation:

4x^2+25x+6

(4x+1)(x+6)

Hope this helps!

7 0
3 years ago
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Given the equation square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution. x = one fourth, solut
Rainbow [258]

Answer:

x=3, solution is not extraneous

Step-by-step explanation:

we have

\sqrt{8x+1}=5

Solve for x

squared both sides

(\sqrt{8x+1})^2=5^2

8x+1=25\\8x=25-1\\8x=24\\x=3

<u><em>Verify</em></u>

For x=3

\sqrt{8(3)+1}=5

\sqrt{24+1}=5

\sqrt{25}=5

5=5 -----> is true

therefore

x=3, solution is not extraneous

5 0
3 years ago
HELP PLEASE ITS THE ONLY QUESTION I NEED!!
insens350 [35]

Because the order doesn't matter on where each person sits use the combinations formula:

C = n! / (r!(n-r)!)

Where n is the total number of people and r is the number of chairs.


C = 6! / (4!(6-4)!)

C = (6*5*4*3*2*1) / ((4*3*2*1(2*1))

C = 720 / (24*2)

C = 720 / 48

C = 15


There are 15 different arrangements.

6 0
3 years ago
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What is 233 x 234 ???
andre [41]

Answer:

the answer is 54522

Step-by-step explanation:

hope it helps

7 0
3 years ago
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