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scoundrel [369]
3 years ago
6

Derek is planning on covering an entire drum in leather. The diameter of the drum is 10 inches, and the height of the drum is 16

inches. What is the minimum amount of leather that Derek will need to cover the drum?
Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer: 694.4 in^2

Step-by-step explanation:

We have a cylinder with:

diameter = d = 10 inches

heigth = h = 16 inches.

The total surface of a cylinder is equal to:

S = h*2*pi*(d/2) + 2*pi*(d/2)^2

we can replace the numbers and get:

S = 16*2*3.14*(10/2) + 2*3.14*(10/2)^2 = 659.4 inches squared

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Leona [35]

Answer:

Step-by-step explanation:

First, start out with the parent function:

y = b^{x}

Now, we look at the transformations, and make the equation.

We see that the graph <u>shifted down 4 units</u>, since the <u>graph's horizontal asymptote</u> is at y = -4.

y = b^{x} - 4

We see point (0, -3) to point (1, -1). The value of b would be 3. The reason is that when you <u>plug 0 in, you get 1, then 1 - 4 equals 3. (0, -3),</u>

<u>Then, when you plug in 1, you get 3, then 3 - 4 equals -1. This matches up with the graph.</u>

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This is the answer:

y = 3^{x}-4

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8 0
3 years ago
Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?
Ludmilka [50]

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for <em>x</em>

  1. <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
  2. <u>Combine like terms:</u> -x + 7 = -6x + 8
  3. <u>Add 6x to both sides:</u> 5x + 7 = 8
  4. <u>Subtract 7 on both sides:</u> 5x = 1
  5. <u>Divide by 5 on both sides:</u> x = 1/5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

-1 + 39/5 = 34/5

34/5 = 34/5

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3 years ago
The number of points scored in a basketball game by Slim Dunkin is shown in
koban [17]
The correct answer is C. Goodluck
7 0
3 years ago
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Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Sphinxa [80]

Answer: (r-s)^{2} = 28

Step-by-step explanation:

  • x^{2} -6x+9=-2+9
  • (x-3)^{2}=7
  • (x-3)= -\sqrt{7} or \sqrt{7} <-- there's no plus/minus sign.
  • (x-3) = -\sqrt{7}
  • x = 3 -\sqrt{7} <-- root.
  • (x-3) = \sqrt{7}
  • x = 3+\sqrt{7} <-- root.
  • [(3-\sqrt{7})-(3+\sqrt{7})]^{2}
  • (3-\sqrt{7} -3 - \sqrt{7})^{2} <-- don't forget to distribute the negative.
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  • (4)(7)
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4 0
3 years ago
How many sides does this regular polygon have? <br>Pls help ​
galina1969 [7]

Answer:

9 sides

Step-by-step explanation:

7y + 2y = 180

9y = 180

y =20

so, 2y, the exterior angle is 2 x 20 = 40

Divide 360 by 40 = 9

3 0
3 years ago
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