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puteri [66]
2 years ago
9

What is the inverse matrix

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
3 0

Answer:

The inverse of a square matrix A, denoted by A-1, is the matrix so that the product of A and A-1 is the Identity matrix.

Step-by-step explanation:

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Dion has a pizza with a diameter of 10 1/3 inch is the square box shown big enough to fit the pizza inside justify your answer
I am Lyosha [343]

Given :

Diameter of pizza , D=10\dfrac{1}{3}=\dfrac{31}{3} .

To Find :

Is square box of size equal to diameter big enough to fit pizza inside it .

Solution :

Area of pizza :

A_p=\pi(\dfrac{D}{2})^2\\\\A_p=\pi\times (\dfrac{31}{3\times 2})^2\\\\A_p=83.86\ inch^2

Area of square with side equal to diameter :

A_s=D^2\\\\A_s=(\dfrac{31}{3})^2\\\\A_s=106.78\ inch^2

Since , the area of square is more than area of pizza .

Therefore , pizza can easily be fitted .

Hence , this is the required solution .

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3 years ago
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Answer:

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2 years ago
Mrs.Fielder decides to build a small snow shelter for her children to wait in before the school bus arrives in the morning she h
sergejj [24]

Answer:

The answer is below

Step-by-step explanation:

Mrs. Fielder decides to build a small snow shelter for her children to wait in before the school bus arrives in the morning. She has only enough wood for a total perimeter of 20 feet.

a. Make a table of all the whole number possibilities for the length and width of the shelter. Find the area of each shelter.

b. What dimensions should Mrs. Fielder choose to have the greatest area in her shelter?

c. What dimensions should Mrs. Fielder choose to have the least area in her shelter?

d. Township building codes require 3 square feet for each child in a snow shelter. Which shelter from part (a) will fit the most children? How many children is this? Explain your reasoning.

Solution:

a) Let W represent the width of the school shelter and let L represent the length of the school shelter. Therefore:

Perimeter of the school shelter = 2(length + breadth)

20 = 2(L + W)

L + W = 10

Also, the area of the school shelter = L * W

Length (ft)              Width (ft)           Area(ft²) = length * width

1                               9                        9

2                              8                        16

3                              7                         21

4                              6                         24

5                              5                         25

b) The shelter with a length of 5 ft and width of 5 ft has the largest area.            

c) The shelter with a length of 1 ft and width of 9 ft has the least area.  

d) The 4 by 6 ft shelter can hold 8 children (24 ft² / 3 ft² = 8) and the 5 by 5 ft shelter can hold 8 children with an extra space (25 ft² / 3 ft² = 8.33).

8 0
2 years ago
The hover dam contains 3 1/2 millon cubic yards of concrete.The grand coulee dam contains 2 1/2 times as much. How much concrete
Margarita [4]

grand coulee dam (g) contains 2.5 times as much concrete as the hover dam (h)

Therefore,

g = 2.5 * h

h = 3.5 million

g = 2.5 * 3.5

g = 8.75 million yards of concrete

8 0
3 years ago
What is the perimeter of a triangle with sides<br> 11 inches, 5 inches, and 12 inches in length?
natulia [17]

Answer: 28 in.

Step-by-step explanation:

3 0
2 years ago
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