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devlian [24]
1 year ago
13

The diagram shows squares 1 2 and 3

Mathematics
1 answer:
nikklg [1K]1 year ago
8 0

(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.

What is Right angle traingle?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.

we know that;

By applying the Pythagorean Theorem;

c^2 = a^2 + b^2                                                                 .............................(1)

Area of the square says A1;

A1 = a^2 unit^2                                                           ...............................(2)

Area of the square says A2;

A2 = b^2 unit^2                                                         .................................(3)

Area of the square says A1;

A3 = c^2 unit^2                                                         ..................................(4)

Replace the A1, A2, and A3 values in the equation 1 ;

A3 = A1 + A2

therefore;

(Area of 1) + (Area of 2) = (Area of 3).

Learn more about right angled triangle click here:

brainly.com/question/22790996

#SPJ4

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Answer: (0.0628,\ 0.1186)

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Given : Significance level : \alpha:1-0.95=0.05

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\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.0907\pm (1.96)\sqrt{\dfrac{0.0907(1-0.0907)}{408}}

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Answer:

  • 40 popcorns and 90 pretzels sold.

============

Let the number of popcorns is x and pretzels is y.

Set up equations:

  • x + y = 130
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Solve by elimination, multiply the first equation by 2 and subtract from the second equation:

  • 2.5x + 2y - 2x - 2y = 280 - 2*130
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Find y:

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  • y = 130 - 40
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