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malfutka [58]
3 years ago
11

Explain why it is possible to draw two more than two different rectangles with the area of 36 square units, but it is not possib

le to draw more than two different rectangles with the area of 15. The sides of the rectangles are whole numbers.
Mathematics
1 answer:
slega [8]3 years ago
6 0
15 = 1*15 = 3*5
36= 1*36 = 2*18 = 3*12 = 4*9 = 6*6
Because only two whole number factor pairs make up 15, there are only two possible rectangles with whole number side lengths.
Because only five whole number factor pairs make up 36, there are only five possible rectangles with whole number side lengths.
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Which expression defines the given series for seven terms?<br><br> 15 + 19 + 23 + . . .
dolphi86 [110]
The expression defines the given series for seven terms, i don't understand the question but i do know the sum which you should know to 

15 + 19 + 23 = 57

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5 0
3 years ago
Read 2 more answers
Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440
Alborosie

Answer:

<h2>$400</h2>

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

<em>Hence the amount Mr Noel originally borrow is $400</em>

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3 years ago
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Geometry proofs. Prove Angle B = Angle C
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Step-by-step explanation:

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Answer:

Here's what I get  

Step-by-step explanation:

a. Write an equation

(8x + 12y)² + (6x + 9y)²= (10x + 15y)²

b. Transform the equation

(i) Remove parentheses

64x² +192xy + 144y² + 36x² + 108xy + 81 y² = 100x² +300xy + 225y²

(ii) Combine like terms.

100 x² + 300xy + 225y² = 100x² +300xy + 225y²

The two sides are the same.

The equation is an identity.

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3 years ago
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