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3 years ago

HELP PLEASE!

Mathematics

1 answer:

olasank [31]3 years ago

6 0

Answer

Find out the Area of a triangle .

To proof

Formula

Area of Triangle

$= \frac{1}{2}\times( {x_1(y_{2}-y_{3}) +x_{2}(y_{3} - y_{1})+x_{3}(y_{1}-y_{2})})$

Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

$= \frac{1}{2} (3\times(-1 +5) + 3\times(-5-3)-2\times(3+1))$

Solving the above

$= \frac{1}{2}(3\times4+3\times-8 -2\times4)$

$=\frac{1}{2} (12-24-8)\\ =\frac{1}{2} (-32+12)\\=\frac{1}{2} (-20)$

= -10 units²

(Neglected the negative sign as area cannot be negative.)

= 10 units ²

Area of a triangle is 10 units ²

Hence proved

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The perimeter of a square newspaper ad is 40 centimeters. How long is each side?

Katyanochek1 [597]

The answer is: "10 cm" .
____________________________________
Method 1)
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2L + 2w = 40 ; Since the formula for perimeter of a rectangle (Note: a square is a rectangle) is:

                         P = 2L + 2w ; Note: L = length; w = width; P = perimeter;
______________________________________________________
Factor out a "2":
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" 2L + 2w = 40" ;

2 (L+ w) = 40;

Divide each side of the question by "2" ;
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         [2 (L + w)] / 2 = 40 / 2 ;
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to get: (L + w) = 20 ;

Note: this "rectangle is a square" ; so L= w".
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20 /2 = 10 ;

L + w = 10 + 10 = 20.

This is a square, so each side of the square is the same length.

Each side is:  10 cm .
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Method 2)
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We are given: The perimeter (sum of the lengths of all sides) of a square is "40 cm." Since a square has 4 sides of equal length:
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2 years ago

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand

goblinko [34]

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

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We need to find the test statistic value which is given by

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p-value is given by

$P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016$

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2 years ago

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Answer:

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2 years ago

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Answer:

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