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Blizzard [7]
2 years ago
7

The can of tomatoes is three times as tall but one-third as wide as the can of tuna. What is true about the areas of their label

s?

Mathematics
1 answer:
yulyashka [42]2 years ago
8 0
Problem One
Call the radius of the second can = r
Call the height of the second can = h

Then the radius of the first can = 1/3 r
The height of the first can = 3*h

A1 / A2 = (2*pi*(1/3r)*(3h)] / [2*pi * r * h] 

Here's what will cancel. The twos on the right will cancel. The 3 and 1/3 will multiply to one. The 2 r's will cancel. The h's will cancel. Finally, the pis will cancel

Result A1 / A2 = 1/1
The labels will be shaped differently, but they will occupy the same area.

Problem Two
It seems like the writer of the problem put some lids on the new solid that were not implied by the question.

If I understand the problem correctly, looking at it from the top you are sweeping out a circle for the lid on top and bottom, plus the center core of the cylinder. 

One lid would be pi r^2 = pi w^2 and so 2 of them would be 2 pi w^2
The region between the lids would be 2 pi r h for the surface area which is 2pi w h

Put the 2 regions together and you get
Area = 2 pi w^2 + 2 pi w h

Answer: Upper left corner  <<<<< Answer
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A parcel delivery company delivered 103,000 packages last year, when its average employment was 84 drivers. This year the firm h
Aleksandr [31]

Answer: 4.85%

Step-by-step explanation: productivity = parcel delivered / number of drivers.

At when parcel delivered was 103, 000 the average number of drivers was 84 thus making the productivity to be

103,000/ 84 = 1226.19

At when the parcel delivered was 112, 800 the average number of drivers was 96 thus making the productivity to be

112, 000/ 96 = 1166.67

Thus the change in productivity = 1226.19 - 1166.67 = 59.52.

Initial productivity = 1226.19

final productivity = 1166.67

% change in productivity = change in productivity / initial productivity * 100

% change in productivity = 59.52 /1226 * 100

% change in productivity = 4.85%

8 0
2 years ago
Which of these statements describe friction? Check all that apply. Friction allows objects to slide over each other without any
Nataly [62]
<h2>Answer:</h2>

→ Friction resists motion

→ Friction is a contact force.

→ Friction is caused by microscopic bumps and ridges on surfaces.

<h2>Explanation:</h2>

As the normal force, the friction is a contact force because it result when two objects interact by a direct contact, that is, touching to each other. Friction is important in everyday life and resists motion. For example, the oil in a car engine  minimizes friction between moving parts, but a car can move because the friction between the tires  and the road, but <em>what about the microscopic level?</em> well, as the normal forces friction forces result from the intermolecular  forces between two rough surfaces at points where they  come into contact and they are electrical in nature.

7 0
2 years ago
Read 2 more answers
Jen's commute to work requires that she take the blue subway line, then transfer to the red line. the length of the trip on the
Brrunno [24]

In order to combine the mean and standard deviations of multiple independent variables, you simply sum the means together and you sum the variances together. Since the standard deviation is the square root of the variance, what you actually do is you take the square root of the sum of the squares of the standard deviations. So:    
Means:  
18 + 12 + 10 = 40    
Standard deviations  
sqrt(2^2 + 1^2 + 5^2) = sqrt(4 + 1 + 25) = sqrt(30) = 5.477225575    
So, for Jen's entire commute, the mean is 40 minutes with a standard deviation of 5.5 minutes.
5 0
2 years ago
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits insid
MatroZZZ [7]

Answer:

8.86cm^2

Step-by-step explanation:

Given the rectangle of 3cm by 4cm and a circle of 1 cm inside it:

The Area of the shaded portion =Area of Rectangle-Area of Circle

Area of a Rectangle=Length X Width=3 X 4 =12cm^2

Area of the circle =\pi r^2=\pi X 1^1=3.142cm^2

Area  of the shaded portion=12-3.142

=8.86cm^2

6 0
2 years ago
Question show in picture!
Wewaii [24]

Answer: H is the correct answer

Step-by-step explanation:

First, Kendra deposited $78 into her savings. Then, she added $50 more which is 128. She withdraw $27 and was left with $101

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