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adelina 88 [10]
2 years ago
8

What is the volume of the cylinder below?

Mathematics
1 answer:
tatyana61 [14]2 years ago
5 0

Answer:

I would go with the first one

Step-by-step explanation:

I put 4/3 x 3.14 x 6² on the calculator and it gave me 150.72 so A is the closest I'm not 100% sure but ye

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What is the value of x ???
k0ka [10]

Answer:

D. 2\sqrt {133}

Step-by-step explanation:

{x}^{2}  =  {18}^{2}  + ( {12}^{2}  +  {8}^{2} ) \\  \\  {x}^{2}  = 324 + (144 + 64) \\  \\  {x}^{2}  = 324 + 204 \\  \\  {x}^{2}  = 528 \\  \\ x =  \sqrt{532}  \\  \\ x =  \sqrt{4\times 133}  \\  \\ x = 2\sqrt {133}

6 0
3 years ago
Find the value of x: 7e(×/3)=14
velikii [3]
<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1
6 0
3 years ago
After 4 new students joined a class, the class had 32 students.
AleksandrR [38]

Answer:

32-4=n or 4+n=32

5 0
3 years ago
- 7 ( z - 6 ) = - 70
NemiM [27]

Answer:

z=16

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7(z−6)=−70

(−7)(z)+(−7)(−6)=−70(Distribute)

−7z+42=−70

Step 2: Subtract 42 from both sides.

−7z+42−42=−70−42

−7z=−112

Step 3: Divide both sides by -7.

−7z /−7 = −112 /−7

z=16

7 0
3 years ago
Read 2 more answers
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
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