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wlad13 [49]
3 years ago
6

Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th

e surface area of the drum?
Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

area = 2*\pi*r^2 + 2*\pi*r*h

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}

The surface area of the drum is 3317.5218 square inches.

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Which ratio represents the tangent of an angle?
azamat

Answer:

option d.opposite / adjacent

Step-by-step explanation:

opposite /adjacent ratio represents the tangent of an angle .

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What is the range of the function f(x) = 3x2 + 6x – 8?
timama [110]

Answer:

Range is {y | y ≥ –11}


Step-by-step explanation:

This is quadratic equation.

<em>A quadratic equation's range can be found if we find the vertex.</em>

For quadratic equations that have a positive number in front of  x^{2} , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>


The formula for vertex of a parabola is:

Vertex =  (-\frac{b}{2a}, f(-\frac{b}{2a})

Where,

  • a is the coefficient of x^{2}
  • b is the coefficient of x

From our equation given, a=3  and  b=6

Now, x coordinate of vertex is  x=-\frac{b}{2a}\\x=-\frac{6}{(2)(3)}\\x=-\frac{6}{6}\\x=-1

y coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the x value [ x=-1 ] into the equation. So we have:

3(-1)^{2}+6(-1)-8\\=-11


Hence, the range would be all numbers greater than or equal to -11  

Third answer choice is the right one.


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Consider the line y=4/3x + 3
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4.7

Step-by-step explanation:

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The sine of 58º is equal to the cosine of what angle?
Lady_Fox [76]

Answer:

32

Step-by-step explanation:

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5 0
3 years ago
X Angle 1 and Angle 2 are supplementary, Solve for x if angle 1 = 2x -3 and/3
Alona [7]

9514 1404 393

Answer:

  ∠1 = 67°; ∠2 = 113°

Step-by-step explanation:

<u>Given</u>:

  ∠1 = 2x-3

  ∠2 = 3x +8

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<u>Find</u>:

  ∠1, ∠2

<u>Solution</u>:

Substituting the first two relations into the third, we have ...

  (2x -3) +(3x +8) = 180

  5x +5 = 180 . . . eliminate parentheses

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  x = 35

Then the angles are ...

  ∠1 = 2x-3 = 2(35) -3

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