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nalin [4]
3 years ago
7

What is the perimeter of A’B’C’D’?

Mathematics
1 answer:
Sophie [7]3 years ago
5 0

\displaystyle\bf\\\textbf{At any translation of a quadrilateral the sides remain the same,}\\\\\textbf{the angles remain the same.}\\\\\textbf{It turns out that the quadrilateral remains the same.}\\\\P_{A'B'C'D'}=P_{ABCD}=AB+BC+CD+DA=\\\\~~~~~~~~~~~~~~=2.2+4.5+6.1+1.4=\boxed{\bf14.2}

 

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Find the quadratic function ..<br><br> 3x2 - y2 = 9<br><br> x2 + 2y2 = 38
ruslelena [56]

Answer:

Step-by-step explanation:

3x2 - y2 = 9.........(1)

x2 + 2y2 = 38......(2)

Let x^2 = a and y^2 = b

:- the two equations becomes

3a - b = 9..........(3)

a + 2b = 38.......(4)

Multiplying (4) by 3

3a + 6b = 114........(5)

Substracting (3) from (5)

3a - 3a + 6b - (-b) = 114 - 9

6b +b = 105

7b = 105

b = 105/7

b = 15

And 3a - b = 9 putting b = 15

3a - 15 = 9

3a = 15+9

3a = 24

a = 24/3

a = 8

And

x^2 = a

x^2 = 8

x = √8

x = √(4×2)

x = 2√2

Also y^2 = b

y^2 = 15

y = √15

6 0
3 years ago
Marcella bought a 25-ounce bottle of olive oil for $5.88. She used 60% of the olive oil in two weeks. What is the cost of the pe
horrorfan [7]
The answer is $3.53
$5.88 * 0.60 = 3.528
5 0
3 years ago
Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?
Sergeu [11.5K]

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

6 0
2 years ago
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
Alja [10]

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

7 0
3 years ago
What is the answer to this question? Write an expression in simplest form for the perimeter of a right triangle with leg lengths
blagie [28]

Answer:

Step-by-step explanation:

Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as

Hypotenuse² = one leg² + other leg²

Therefore,

h² = (3a)³ + (4a)³

h² = 27a³ + 64a³

h² = 91a³

Taking square root of both sides,

h = √91a³

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is

√91a³ + (3a)³ + (4a)³

= √91a³ + 91a³

7 0
2 years ago
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