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soldier1979 [14.2K]
3 years ago
13

Find the volume of a rectangular prism with length 32 feet width 50 feet and height 100 feet? Please hurry!

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

Answer:

c

Step-by-step explanation:

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A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the
Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

8 0
3 years ago
Evaluate the expression when x= -5.2 and y = –6.8.<br> 4x-7y
vfiekz [6]

Step-by-step explanation:

Substitute variables with given values

Minus sign becomes plus sign if a negative is multiplied by a negative or a negative is put next to a negative number.

4x-7y=4(-5.2)-7(-6.8)

-20.8+47.6=26.8

7 0
2 years ago
Find the total surface area of this cone. Round to the nearest tenth.
leva [86]

Step-by-step explanation:

for given cone:

h = 3 ft, r = 3 ft

Let l be the Slant height of cone.

\therefore \: l =  \sqrt{ {h}^{2}  +  {r}^{2} }  \\  =  \sqrt{ {3}^{2} +  {3}^{2}  }  \\  =  \sqrt{9 + 9}  \\  =  \sqrt{2 \times 9}  \\   \therefore \: l= 3 \sqrt{2}  \: ft \\  \\ total \: surface \: area \: of \: cone \\  = \pi \: r(l + r) \\  = 3.14 \times 3(3 \sqrt{2}  + 3) \\  = 9.42 \times 3( \sqrt{2}  + 1) \\  = 28.26 \times (1.414 + 1) \\  = 28.26 \times 2.414 \\  = 68.21964 \\  \approx \: 68.2 \:  {ft}^{2}

8 0
3 years ago
Half a sphere is called a ?
Vesna [10]

Answer:

half a sphere is called a hemisphere

7 0
3 years ago
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What kind of symmetry does a B have
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The rest of the letters, A, B, C, D, and E all have only 1 line of symmetry. Notice that the A has a vertical line of symmetry, while the B, C, D, and E have a horizontal line of symmetry.
4 0
3 years ago
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