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VARVARA [1.3K]
3 years ago
6

If the diffrence in the side lenghts of two squares is 10,and the sum of the side lenghts is 18, what are the side lengths

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer:

The side of first square =14 units  

side of second square =4 units

Step-by-step explanation:

We have given two squares,

A square have all its four sides equal and at right angles.

Let the side of first square be 'a'

and the side of second square be 'b'

Given:

                 a-b=10     equation:1

                a+b=18   equation:2

Solving equation:1  

                      a=10+b      equation:3

Putting 'a' in equation:2

                           (10+b)+b=18\\\\2b=18-10\\\\2b=8\\\\b=4

Putting 'b' in  equation:3

          a=10+4\\\\a=14

So, the side of first square is 14 units and

side of second square is 4 units

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Step-by-step explanation:

Given  (AB )^T= B^T. A^T;

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(AB)^T = B^T.A^T\\\\Start, from \ Right \ hand \ side\\\\B^T.A^T = \frac{B^T.A^T}{A^T}.\frac{B^T.A^T}{B^T} (multiply \ through) \\\\                = \frac{A^{2T}.B^{2T}}{A^T.B^T} \\\\=\frac{(AB)^{2T}}{(AB)^T} \ \ (factor \ out \ the power)\\\\= (AB)^{2T-T}  \ (apply \ division \ law \ of \ indices; \ \frac{x^a}{x^b} = x^{a-b})\\\\= (AB)^T \ (Proved)

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3 years ago
A construction company uses the function f(p) where p is the number of people working on a project to model the amount of money
Jlenok [28]

Answer:

Domain of f(p) =  [0,∞), where it belongs to whole numbers only

Step-by-step explanation:

The domain is the set of all possible values of independent variable for which function is defined

As in the given function f(p), we have the independent variable p. As p is the number of people working on the project, so it means either the number of people could be 0 or it could be anything greater than 0,  like it could be equal to thousand or ten thousand, but it can not be fraction in any case.

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Domain of f(p) = [0,∞)  


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3 years ago
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Please help me , at least do one and explain it please .
Len [333]

9514 1404 393

Answer:

  1. 113.0 cm²
  2. 2464.0 in²
  3. 95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

  A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

  A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

  A = (3.14)(5.5 ft)² = 95.0 ft²

_____

<em>Additional comment</em>

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

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Answer:

She baked 288 cookies

Step-by-step explanation:

24 X 12 equals 288

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