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zimovet [89]
3 years ago
5

A rectangular shelf has an area of 40 square inches. Its perimeter is 28 inches. What are the dimensions of the shelf?

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

4 by 10

Step-by-step explanation:

4 times 10 is 40 (length times width)

4+4+10+20=28

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the lateral area of a right circular cone is 20pi cm^2 and the total area is 36pi cm^2 find the volume of the cone
Lady bird [3.3K]
Let r = radius, h = height and l = slant height 

Lateral area = rlpi 

But l = sqrt(r^2 + h^2) 

Lateral area = r sqrt( r^2 + h^2) pi = 20 pi..................(1) 

Total area = r sqrt( r^2 + h^2) pi + r^2 pi = 36pi......(2) 

Subtract (1) from (2) 

r^2 pi = 16 pi 

r^2 = 16 

r = 4 cm 

Put this value in (1) to find h 

4sqrt(4^2 + h^2) pi = 20 pi 

sqrt(16 + h^2) = 5 

Square both sides 

16 + h^2 = 25 

h^2 = 9 

h = 3 cm 

Now that we know h and r we can find the volume 


V = 1/3 pi r^2 h 

= 1/3 pi (4^2)(3) 

<span>= 16 pi cm^3 .........( = 50.27 cm^3)

I hope my answer has come to your help. God bless and have a nice day ahead!
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8 0
3 years ago
Read 2 more answers
I know your smart !!! Who knows this answer ? ❤️
Taya2010 [7]

Answer:

The range is  { -1,3,7,11,15}

Step-by-step explanation:

The range is just the output values

f(-2) = 4(-2) +7 = -8+7 =-1

f(-1) = 4(-1) +7 = -4+7 = 3

f(0)= 4(0) +7 = 7

f(1) = 4(1) + 7 = 11

f(2) = 4(2) +7 = 8+7 = 15

4 0
3 years ago
Read 2 more answers
What can you times by 9 to 1296 <br> What can you multiply by 9 to get 1296
ozzi

Answer:

144, would be your answer

Step-by-step explanation: Multiply 144 by 9 and you get 1296.

7 0
3 years ago
What is the slope of the following line?
serg [7]
U use y=mx+b to find the slope, and the answer would be m=-3
8 0
2 years ago
The first number is 17 the difference between the two numbers on the number line in 9.
Juliette [100K]

Answer:

The second number would be 8 or 16

Step-by-step explanation:

Let x be the unknown number,

Since, first number = 17,

So, the difference between x and 17 = |17 - x |

According to the question,

|17 - x | = 9

17 - x = ± 9

17 - x = 9 or 17 - x = -9

17 - 9 = x or 17 + 9 = x

⇒ x = 8 or x = 26

Hence, the second number would be 8 or 26.

5 0
3 years ago
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