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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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A cube has a volume of 512 cubic mm. If all sides of the cube ae divided by 4, what will the resulting volume be?
kotegsom [21]
Volume of a cube = s³ 

Therefore, s³ = 512, meaning that s = 8.

The question asks what the resulting volume would be if all sides of the cube were divided by 4.

The current side measures 8, and we know that 8/4 = 2.

Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
6 0
3 years ago
A veterinarian wishes to compare the number of times race horses are reported to be lame during a 12‑month period, as compared w
cestrela7 [59]

Answer:

Step-by-step explanation:

Hello!

The objective of the veterinarian is to check if racing contributes to lameness in racing horses. To conduct a test the veterinarian should select at random two groups of horses, group one will be of racing horses and group two should be of not racing horses. Other than racing, all the other differences between the horses that may cause lame or resistance to lame should be controlled( confounding variables) such as age, breed, the number of weakly hours spent exercising, diet, obstacle-free environment, etc...

This type of study is an experimental design.

The experimental design is an analytic essay characterized by the fact that the investigator controls the study variable and the randomization of the samples. In which all the variables are controlled except the ones that you wish to study.

I hope it helps!

5 0
3 years ago
A rectangle has a perimeter of 68 inches. Its length is 2 inches less than 3 times its width. What are the length and width of t
Evgesh-ka [11]

2(3x-2+x)=68 in

thats all i know, sorry

7 0
3 years ago
A rectangle has a perimeter of 48 feet and a length of 14 feet. Which equation can you solve to find the width?
xeze [42]
48 = 14*2 + 2n
2n + 28 = 48 
Ans. A
4 0
3 years ago
Read 2 more answers
Find the surface area of the prism. Round to the nearest tenth if necessary. please help!!
irina [24]

Answer:

72

Step-by-step explanation:

This shape is a prism; it's a 3-D shape with 6 sides. Basically, it's a box.

All 6 sides are rectangles.

Surface area means that we'll find the area of all 6 rectangles and add them up.

There's a front and back, left and right, and a top and bottom.

The area of a rectangle is length×width or base×height.



The front and back are identical.

Area = length×width

Area = 6×3 = 18

Since the front and back are the same, two of the rectangles have area = 18.



The left and right are the same:

Area = 3 × 2

Area = 6

Two faces have area = 6.

The top and bottom are the same.

Area = 6 × 2

Area = 12

Again, two faces have area = 12.

To find the total surface area, add up all 6 areas.

A =18+18+6+6+12+12

A = 72

7 0
2 years ago
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