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uranmaximum [27]
3 years ago
10

A cylindrical container's lateral surface is to be covered by a label. The container's diameter is 5 inches, and its height is 8

inches.
How much paper is needed to create the label?

A. 39.3 in^2
B. 82.5 in^2
C. 126 in^2
D. 165 in^2
Mathematics
2 answers:
Softa [21]3 years ago
8 0

Given is :

The lateral area of a cylinder is to be covered by a label.

The lateral surface area of a cylinder is calculated by the following formula:

2\pi rh

Here r = radius and h= height of the cylinder

Now diameter = 5 inches.

So, radius = \frac{5}{2}=2.5

Height = 8 inches

Hence, surface area = 2*3.14*2.5*8=125.66 or can be rounder off to 126 square inches. So, this much paper is needed.

Hence, option C = 126 square inches is the answer.

Nezavi [6.7K]3 years ago
3 0

Answer:

The correct option is C. 126 in²

Step-by-step explanation:

Diameter of the container = 5 inches

⇒ radius of the container = 2.5 inches

Height of the container = 8 inches

To find how much paper is needed to create the label : We need to find the lateral surface area of the cylindrical shaped container

Lateral Surface Area of Cylinder = 2·π × radius × height

                                                      = 2 × 3.14 × 2.5 × 8

                                                      = 125.66 square inches

                                                      ≈ 126 square inches

Hence, 126 square inches of paper is needed to create the label.

So, The correct option is C. 126 in²

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Assume that y varies directly with x. If y = 16 when x = 8, find y when x = 5.
dem82 [27]

Answer:

Step-by-step explanation:

5y + x = 25

Subtract x from both sides when x = 5

5y + x - x = 25 - x

5y = 20

5y/5 = 20/5

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Y=4

6 0
2 years ago
There are 2.54 centimeters in an inch how many inches are in 51.78 centimeters round to the nearest tenths
erik [133]
2.54 cm in 1 inch......how many inches in 51.78 cm...

51.78 / 2.54 = 20.4 inches <==

or this way...
2.54 / 1 = 51.78 / x....2.54 cm to 1 in = 51.78 cm to x inches
cross multiply
(2.54)(x) = 51.78)(1)
2.54x = 51.78
x = 51.78 / 2.54
x = 20.4 inches <==
3 0
3 years ago
Write the equation in slope-intercept form of the line that passes through
mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through  (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

  • y=\frac{4}{3}x-7

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

y-y_1=m\left(x-x_1\right)

y-9=\frac{4}{3}\left(x-12\right)

Add 9 to both sides

y-9+9=\frac{4}{3}\left(x-12\right)+9

y=\frac{4}{3}x-16+9

y=\frac{4}{3}x-7

Therefore, we conclude that the equation in slope-intercept form of the line that passes through  (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

  • y=\frac{4}{3}x-7
7 0
2 years ago
(2k+11)<br> 131°<br> What is the value of k
Triss [41]
The value of k is 60


131 - 11 = 120
120/2 = 60

hope this helped !
6 0
3 years ago
Read 2 more answers
I have been stuck on this forever can you please help
Aneli [31]
6 acts as the base. 15 acts as the height, because it extends from the base to meet vertex opposite the base at a 90° angle.

General formula for triangle area
a = 1/2 × b × h

plug in the numbers
a = 1/2 × 6 × 15
a = 90/2
a = 45

The area of the triangle is 45 units²
8 0
3 years ago
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